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TRANSCRIPT
Rose
James Raja
007
Collection
Addition
Partnership Magical
Rex Prime MatheMagica
Raja
Prime
Partnership
Mantel Maths
Raja
007
Bond
Magical
Rose
James Raja
007
Collection
Addition
Bond Magical
Rex Prime
Partnership
Raja
Prime
Partnership
Mantel Maths
Raja
007
Bond
Magical
Rose
James Raja
007
Collection
Addition
Bond Magical
Rex Prime
Partnership
Raja
Prime
Partnership
Mantel Maths
Raja
007
Bond
Magical
Bilingual
007
Partnership
Rajasthan
AIR-24SSC (CGL)-2011
Raja SirIncome Tax Inspector14 Years' teaching experience
• CAT • GMAT • UPSC • SSC • BANK
Aryan Ratios
Concepts
Exercises
Neon Approaches
Previous Year Questions
Copyright©2020,byManisha BansalAll right reserved. No part of this book may be reproduced, stored in or introduced into a retrieval system, or transmitted, in any form, or by any means (electronic, mechanical, photocopying, recording or otherwise) without the prior written permission of the author. Any person who does any unauthorised act in relation to this production may be liable to criminal prosecution and civil claims for damages.
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NEONCLASSES21, Manav Ashram Colony ,
Opp. Cake World, Gopalpura Mod, Jaipur
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Price : 60/-
12Partnership
LearningObjectives
Inthischapter,youwilllearn:
lk>snkjh
Partnership : De�initionFlk>snkjh% ifjHkk"kk
Different applications of ratioFvuqikr ds fofHkUUk vuqiz;ksx
Kinds of questions asked in the CAT, SSC, CDS, Bank, Railways.FCAT, SSC, CDS, Bank & Railwaysesa iwNs x,s iz'uksa ds izdkj
Different methods of solving questionsFiz'uksa dks lkWYo djus ds fofHkUu rjhds
Neon ApproachesFfu;kWu vizksp
bl v/;k; esa vki lh[ksaxs%
You can not change the world by being like the world. Stand apart. Stand out. Stand for something. Stand up and be brave. achilles
- The Iliad, Homer.vki nqfu;k ds tSls cudj nqfu;k ugha cny ldrsAHkhM ls vyx gVdj [kM+s gks tkvks vkSj cgknqj cuks AA vfdyht~ bfy;M] gksej
Contents
1. PartnershipConcepts 01-08
Concept1:SimplePartnership¼lk/kkj.k lk>snkjh½
Concept2:CompoundPartnership¼fefJr lk>snkjh½
Concept3:RentSharing¼fdjk;s esa fgLlsnkjh½
Concept4:TypesofPartners¼lk>snkj ds izdkj½
2. Worked-outProblems 09-16
3. PracticeExercise-007 17-19
4. Exercise-1,Level-1 20-25
5. Exercise-2,Level-2 26-32
6. Exercise-3,Level-3 33-41
7. PreviousYearQuestions(SSC) 42-45
8. PreviousYearQuestions(Bank) 46-66
S.No. TopicName PageNo.
I am indebted to my father for living. but to my teacher for living well.
Alexander the GreatftUnxh eq>s esjs firk us nh ij ftUnxh thuk eq>s esjs xq# us fl[kk;k AA fldUnj egku
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Partnership
Partnership is an association of two or more persons who invest
their money in order to carry on a certain business.
Types of Partnership
There are two types of partnership.
1. Simple Partnership
2. Compound Partnership
➢ Simple Partnership (Concept 1) • If the capitals of the partners are invested for the same time, the
partnership is called a simple partnership.
In the case of simple partnership gains or losses in a partnership
are divided among the partners in the ratio of their investments.
• If x and y are partners in a business then:
= =Profit of x
Profit of
Investment of x Loss of x
Investment of y y Loss of y
• If x, y and z are partners in a business, then:
Investment of x : Investment of y : Investment of z
= Profit of x : Profit of y : Profit of z
= Loss of x : Loss of y : Loss of z
Note: Partnership is a typical case of direct variation.
lk>snkjh
nks ;k nks ls vf/kd O;fDr ,d O;kikj esa ykHk dekus ds fy, /ku dk
fuos'k djrs gSa] rks mls lk>snkjh dgrs gSaA
lk>snkjh ds çdkj
lk>snkjh nks çdkj dh gksrh gSA
1- lk/kkj.k lk>snkjh
2- fefJr lk>snkjh
➢ lk/kkj.k lk>snkjh ¼fl)kar 1½
• ;fn lk>snkjksa dh /kujkf'k;ksa dks leku le; ds fy, fuos'k fd;k tkrk
gS] rks lk>snkjh dks ,d lk/kkj.k lk>snkjh dgk tkrk gSA
lk/kkj.k lk>snkjh esa ykHk ;k gkfu dks lk>snkjksa ds chp muds fuos'k ds
vuqikr esa foHkkftr fd;k tkrk gSA
• ;fn x vkSj y fdlh O;olk; esa Hkkxhnkj gSa] rks
x x x
y y y= =
dk fuo's k dk ykHk dh gkfu
dk fuos'k dk ykHk dh gkfu
• ;fn x, y vkSj z fdlh O;olk; esa lk>snkj gSa] rks
x dk fuos'k % y dk fuos'k % z dk fuos'k
= x dk ykHk % y dk ykHk % z dk ykHk
= x dh gkfu % y dh gkfu % z z dh gkfu
Eg.1 James, Bond & Rex enter into a partnership investing Rs. 3800,
Rs. 4200 and Rs. 4000 respectively. How should a profit of Rs.
1800 be divided among them?
tSEl] ckWUM vkSj jSDl ,d O;kikj esa lk>snkjh 'kq: djrs gS rFkk Øe'k%
:i;s 3800 :i;s 4200, rFkk :i;s 4000 fuos'k djrs gSA 1800 :i;s
ds ykHk dks muesa fdl izdkj ckaVuk pkfg;s\
(a) 550, 640, 610 (b) 570, 630, 600
(c) 380, 840, 580 (d) 630, 580, 590
Sol. (b)
Classical Approach:
Profit should be divided among the partners in the ratio of their
investments.
∴ The ratio of James, Bond and Rex’s share is:
3800 : 4200 : 4000 = 19 : 21 : 20
Sum of the ratios = 19 + 20 + 21 = 60
James’s share = Rs.1800 19
60= Rs. 570.
Bond's share = Rs.1800 21
60= Rs. 630
Rex’s share = Rs.1800 20
60= Rs. 600
❖ Neon Approach (Thought Process):
Share of James will be a multiple of 19
Option (b) and (c) satisfy.
Gap between James, Rex and Bond, Rex will be same.
Hence, option (b) is correct.
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Eg.2 Three partners Neal, Smith and David invested Rs. 114000 in a
business. At the end of the year Neal got Rs. 337.50, Smith Rs.
1125.00 and David Rs. 675 as profit. How much did each invest?
rhu nksLr uhy] fLeFk rFkk MsfoM us 1,14,000 :i;s dk fuos'k fd;kA
lky ds var esa uhy dks 337-50 :i;s] fLeFk dks 1125.00 :i;s rFkk
MsfoM dks 675 :i;s ykHk ds :i esa feysA izR;sd us fdrus :i;s fuos'k
fd;s Fks\
(a) 28000, 60000, 26000 (b) 21000, 60000, 33000
(c) 18000, 60000, 36000 (d) 15000, 57000, 42000
Sol. (c)
Classical Approach:
Ratio in which each share profits
= 337.5 : 1125 : 675 = 3 : 10 : 6
∴ 1st partner Neal's capital = Rs.
3114000
19 = Rs. 18,000.
2nd partner Smith's capital = Rs.
10114000
19 = Rs. 60,000.
3rd partner David's capital = Rs.
6114000
19 = Rs. 36,000.
Eg.3 James, Robert and John invest Rs. 1000, Rs. 4000 and Rs. 5000
respectively in a business. At the end of the year there was a loss
of 20% of the total initial investment. Calculate the share of loss
of each partner.
tSEl] jkWcVZ vkSj tkWu us 1000 :i;s] 4000 :i;s vkSj 5000 :i;s ,d
O;olk; esa fuos'k fd;sA o"kZ ds var esa dqy izkjafHkd fuos'k dh 20% gkfu
gqbZ rks izR;sd lk>snkj dk gkfu dk 'ks;j Kkr djks\
(a) Rs. 200, Rs. 800, Rs. 1000
(b) Rs. 800, Rs. 200, Rs. 1000
(c) Rs. 900, Rs. 2000, Rs. 800
(d) Rs. 900, Rs. 300, Rs. 1000
(e) Rs. 300, Rs. 900, Rs. 1000
Sol. (a)
Classical Approach:
Total investment = 1000 + 4000 + 5000 = Rs. 10000
Loss = 20% of 10000 = 2000
Now, loss has to be divided in the ratio of
1000 : 4000 : 5000 = 1 : 4 : 5
Now, 1 + 4 + 5 = 10
∴ Share of loss of James = 2000
10×1 = Rs. 200
Share of loss of Robert = 2000
10× 4 = Rs. 800
Share of loss of John = 2000
10× 5 = Rs. 1000
Eg.4 Two partners invested Rs. 1250 and Rs. 850 respectively in a
business; they decided to distribute equally 60% of the profit,
and the remaining in the ratio of their capital. If one receives Rs.
320 more than the other, find the total profit.
nks nksLrksa us ,d O;kikj esas Øe'k% 1250 :i;s rFkk 850 :i;s fuos'k
fd;sA 60% ykHk dks cjkcj ckaVus rFkk 'ks"k Hkkx dks iwath ds fuos'k ds
vuqikr esa ckaVus dk fu'p; fd;kA ;fn ,d dks 320 :i;s nwljs ls
T;knk feyrs gS rks dqy ykHk crkvks\
(a) 4000 (b) 5200 (c) 4200 (d) 4600
Sol. (c)
Classical Approach:
A : B = 25 : 17
Remaining profit (40%) is divided among them in the ratio of
capital.
Using Aryan's ratio
25 17 25 17
320 x
− += x = 1600
40% → 1680, 100% → 4200
Eg.5 A, B and C are partner in a business. B’s capital is 1/6th of the total
and A’s capital is equal to that of B and C's together. how much does
C receive out of a total annual profit of Rs. 2400?
A, B, rFkk C ,d O;kikj esa lk>snkj gSa B, dh iwath 1/6 ¼dqy iwath½ rFkk
A dh iwath (B +C) dh iwath ds cjkcj gS] rks crkvksa C dks fdruk ykHk
feysxkA ;fn dqy ykHk 2400 :- gSA
(a) 2400 (b) 800 (c) 3600 (d) 400
Sol. (b)
Classical Approach:
According to question, =+ +
1
6
B
A B C
=+
1
1
A
B C =
+ +
1
2
A
A B C
Let total capital of A + B + C = Rs 6
Then B = 1, A = 3, C = 2
Their investment Ratio = A : B : C = 3 : 1 : 2
Profit of C = 2
6× 2400 = Rs. 800
❖ Neon Approach (Thought Process):
Neal : Smith : David = 3 : 10 : 6
Investment of David will be double of Neal.
Only option (c) satisfies.
❖ Neon Approach (Thought Process):
James : Robert : John = 1 : 4 : 5
Only option (a) is in that order.
❖ Neon Approach (Thought Process):
A : B = 125 : 85 = 25 : 17
Since 60% is divided between them equally so difference will be created because of the remaining.
8 320
42 40 42=
(AMF = 40)
Now,
40% = 40 × 42
100% = 100 × 42 = 4200
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Eg.6 A and B invest in a business in the ratio of 3: 2. If 5% of the total
profit goes to charity and A’s share is 855. Find the total profit.
A rFkk B us 3 : 2 ds vuqikr esa O;kikj esa fuos'k fd;kA ;fn ykHk dk 5
izfr'kr nku esa ns fn;k rks A dk Hkkx 855 gSA dqy ykHk fdruk gS \
(a) 1425 (b) 1500 (c) 1537.5 (d) 1576
Sol. (b)
Classical Approach:
A : B = 3 : 2 (money invested)
∵ For the same time ratio of money invested and ratio of profit is
same So A's share is 3 → 855, 1 → 285
Total profit 5 × 205 = Rs .1425
Rs. 1425 is 95% of total profit so, 100% of profit is = 1425
19× 20
= 75 × 20 = Rs. 1500
Eg.7 A, B and C subscribe Rs. 47000 for a business. If A subscribes Rs.
7000 more than B and B Rs. 5000 more than C, Then out of total
profit of Rs. 4700, C receives:
A, B vkSj C ,d O;olk; ds fy, 47000 :i;s dh lnL;rk ysrs gSA
;fn A, B ls 7000 :i;s vf/kd vkSj B,C ls 5000 vf/kd yxkrs gS rks
4700 :i;s dk ykHk izkIr djrs gS rks C dks fdruk feysxk\
(a) Rs. 1200 (b) Rs. 4500
(c) Rs. 1000 (d) none of these
Sol. (c)
Classical Approach:
A + B + C = 47000
A B C
12000 + x x + 5000 x
x + x + 5000 + x + 12000 = 47000
3x = 47000 – 17000 3x = 30000 x = 10000
A B C
22000 15000 10000
22 15 10
Amount received by C = 10
470047
= Rs, 1000
➢ Compound partnership (Concept 2) If the capitals of the partners are invested for different periods it
is called a compound partnership.
In the case of a compound partnership, the profit or loss is
divided in the ratio of their Monthly Equivalent Investment.
Monthly Equivalent Investment (MEI) is the product of the
capital invested and the period for which it is invested.
Monthly Equivalent Investment
= Capital Invested × Period of Investment
If the period of investment is different, then the profit or loss is
divided in the ratio of their Monthly Equivalent Investment
Investment of x × Period of Investment of x
Investment of y × Period of Investment of y
=Profit of x
Profit of y=
Lossof x
Lossof y
➢ fefJr lk>snkjh ¼fl)kar 2½
tc lk>snkjksa dh /kujkf'k;ksa dks fofHkUu le; vof/k;ksa ds fy, fuosf'kr
fd;k tkrk gS] rks bls fefJr lk>snkjh dgrs gSaA
fefJr lk>snkjh esa] ykHk ;k gkfu dks muds ekfld lerqY; fuos'k ds
vuqikr esa foHkkftr fd;k tkrk gSA
ekfld lerqY; fuos'k (MEI) fuos'k dh xbZ iwath rFkk fuos'k dh le;
vof/k dk xq.kuQy gSA
ekfld lerqY; fuos'k = fuosf'kr iw¡th × fuos'k dh vof/k
;fn fuos'k dh vof/k vyx&vyx gS] rks ykHk ;k gkfu muds ekfld
lerqY; fuos'k ds vuqikr esa foHkkftr dh tkrh gSA
❖ Neon Approach (Thought Process):
Since time is same for all A, B and C.
So, ratio of investment will give us ratio of profit.
Since gives 1/6th of capital
Say total capital = 6
So, B gave = 1
Now,
A = B + C
A = 1 + C
Subtracting 1 from sides
A - 1 = 1 + C - 1
A - 1 = C
If we keep 1 share of A aside and 1 shave of B aside
Remaining capital = 4
Now, this 4 will be equally distributed between A and C
So, A get 2
and C gets 2
But we had kept 1 of A aside
Total A gets = 2 + 1 = 3
B = 2
C = 1
Ratio of capital invested = A : B : C = 3 : 2 : 1
Ratio of profit = 3 : 2 : 1
For profit of C
Aryan's ratio
2 800
6 2400
C
Total= = (AMF = 4)
❖ Neon Approach (Thought Process):
A : B = 3 : 2 = 300 : 200
5% will go from the shares of A and B both
New ratio of A : B = (300 – 15 = 285) : (200 – 10 = 190)
Applying Aryan's ratio
285 500
855 x= x = 1500
❖ Neon Approach (Thought Process):
B invested 5000 more than C.
A invested 5000 + 7000 = 12000 more than C.
If we subtract 12000 + 5000 = 17000 from 47000. Then the
remaining amount of 30000 will be distributed equally
among them.
A : B : C = 22 : 15 : 10
Amount received by C = 10
470047
= Rs. 1000
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x × x
y × y
dk fuos'k d s fuos'k dh le; vof /k
dk fuos'k d s fuo's k dh le; vof /k
x x
y y= =
dk ykHk dh gkfu
dk ykHk dh gkfu
Eg.8 In a partnership deal, A contributes Rs. 3200 for 4 months, B
contributes Rs. 5100 for 3 months and C contributes Rs. 2700 for
5 months. How should they divide a total profit of Rs. 1248
among themselves?
,d lk>snkjh esa A us 3200 :i;s 4 eghus ds fy;s] B us 5100 :i;s 3
eghus ds fy;s vkSj C us 2700 :i;s 5 eghus ds fy;s yxk;sA 1248
:i;s ds dqy ykHk dks os fdl izdkj vkil esa ck¡Vsxs\
(a) 384, 459, 405 (b) 372, 468, 408
(c) 352, 477, 419 (d) 391, 459, 398
Sol. (a)
Classical Approach:
We calculate equivalent capitals for one month:
A’s equivalent capital = Rs. (3200 × 4) = Rs. 12800;
B’s equivalent capital = Rs. (5100 × 3) = Rs. 15300
C’s equivalent capital = Rs. (2700 × 5) = Rs. 13500
∴ The ratio of A, B & C’s share:
= 12800 : 15300 : 13500 = 128 : 153 : 135
Sum of rations = 128 + 153 + 135 = 416
A’s share = Rs. 1248 128
416= Rs. 384;
B’s share = Rs. 1248 153
416= Rs. 49
C’ share = Rs. 1248 135
416= Rs. 405
Eg.9 A and B entered into partnership with capitals in the ratio 4 : 5.
After 3 months, A withdrew 1/4 of his capital and B withdrew
1/5 of his capital. The gain at the end of 10 months was Rs. 760.
A’s share in this profit is:
A o B us ,d lkFk ,d O;kikj esa 4 : 5 esa iSlk yxk;kA 3 eghus ckn A us
vius /ku dk 1/4 Hkkx rFkk B us vius /ku 1/5 Hkkx fudky fy;kA rks
10 eghus ckn dqy 760 #- dk ykHk gqvk rks A dk fgLlk crkvks\
(a) Rs. 330 (b) Rs. 360 (c) Rs. 380 (d) Rs. 430
Sol. (a)
Classical Approach:
A : B = 4 × 3 + 3 × 7 : 5 × 3 + 4 × 7 = 33 : 43
Total profit = 760
A’ share =760
76×33 =Rs.330
Eg.10 A, B, C started a business with their investments in the ratio 1 : 3
: 5. After 4 months, A invested the same amount as before and B
as well as C withdrew half of their investments. The ratio of their
profits at the end of the year is :
A , B o C, 1 : 3 : 5 ds vuqikr esa /ku yxkdj O;kikj izkjaHk djrs gS] 4
eghus ds ckn Hkh A viuk /ku leku j[krk gS] ysfdu B o C viuk vk/kk
/ku fudky ysrs gS] o"kZ ds var esa mudk ykHk dk vuqikr D;k gksxk ?
(a) 1 : 2 : 3 (b) 3 : 4 : 15 (c) 3 : 5 : 10 (d) 5 : 6 : 10
Sol. (d)
Classical Approach:
Upto 4 months
A : B : C
1×4 3×4 5×4
4 12 20
After 4 months
A : B : C
2×8 : 1.5×8 : 2.5×8
16 : 12 : 20
After 1 year
A : B : C
20 : 24 : 40
5 : 6 : 10
Eg.11 A began a business with Rs. 85,000. He was joined afterwards by
B with Rs. 42,500. For how much period does B join, If the profits
at the end of the year are divided in the ratio of 3 : 1 ?
A us ,d O;kikj 'kq# fd;k 85000 #- B us 42500 #- yxkdj O;kikj esa
dqN efgus ckn 'kkfey gqvkA o"kZ ds var esa ykHk dk vuqikr 3 : 1 gS rks
crkvks B us fdrus efgus rd O;kikj esa iSlk yxk;k\
(a) 4 months (b) 5 months (c) 6 months (d) 8 months
Sol. (d)
Classical Approach:
A : B
Money 2 : 1
Time 12 : x
Profit 24 : x
3 : 1
So, 24 x
3 1= x = 8 months
Eg.12 A, B and C start a business. If the ratio of their periods of
investments are 2 : 3 : 6 and their profits are in the ratio of 4 : 5 :
6, then the ratio of capitals of A, B and C is
❖ Neon Approach (Thought Process):
A : B : C = 128 : 153 : 135
Share of C will be multiple of 5
Only option (a) satisfies.
❖ Neon Approach (Thought Process):
A : B = 33 : 43
Share of A will be multiple of 11
Only option (a) satisfies.
❖ Neon Approach (Thought Process):
A : B
Investment 2 : 1
Time 12 :
Profit 3 : 1
Increase in amount of A is 50%.
But B receives same amount because he stayed for 33.33%
less time.
i.e. 1
3 × 12 = 4
So, he stayed for 12 – 4 = 8 months
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A, B, C us ,d O;kikj 'kq# fd;kA ;fn muds le; dk vuqikr 2 : 3 : 6
vkSj muds ykHk dk vuqikr 4 : 5 : 6 gks rc A, B o C ds /ku dk vuqikr
Kkr djksA
(a) Rs. 6 : 8 : 10 (b) Rs. 12 : 10 : 6
(c) Rs. 10 : 12 : 6 (d) Rs. 6 : 5 : 3
Sol. (d)
Classical Approach:
A : B : C
Time 2 : 3 : 6
Profit 4 : 5 : 6
Capital 4
2 :
5
3 :
6
6
2 : 5
3 : 1
6 : 5 : 3
Eg.13 Three partners invested capitals in the ratio 2 : 7 : 9. The time period
for which each of them invested was in the ratio of the reciprocals of
the amount invested. Find the share of the partner who brought in the
highest capital, if the profit is Rs. 1080.
rhu lk>snkj viuk /ku 2 : 7 : 9 ds vuqikr esa viuk /ku yxkrs gS ftrus
le; ds fy, os yksx viuk /ku yxkrs gS og muds }kjk yxkbZ xbZ iwath
ds O;qRØekuqikrh gSA ;fn dqy ykHk 1080 gS rks mldk fgLlk Kkr djks
ftlus lcls vf/kd /ku yxk;k gks\
(a) Rs. 120 (b) Rs. 360 (c) Rs. 540 (d) Rs. 420
Sol. (b)
Classical Approach:
Their investment ratio A : B: C = 2 : 7 : 9
Their time ratio = A : B : C = 1 1 1
: :2 7 9
= 63 18 14
: :126 126 126
= 63 : 18 : 14
Profit ratio A : B : C = 63 × 2 : 7 × 18 : 14 × 9
= 63 : 63 : 63 = 1 : 1 : 1
Share of highest capital partner = 1
3× 1080 = Rs. 360
Eg.14 A and B are two partners and they started a business by investing
a capital 75000 and 105000 and decided to share their profit
according to their capital. But C joins the business on a condition
that they will distribute the profit equally in 1:1:1 and for that C
gives 440000 to A and B. Find in what ratio A and B will distribute
they that amount and how much will B get?
A vkSj B Øe’k% 75000 :- vkSj 1,05,000 :- yxkdj fuos’k dj ,d
O;kikj izkjaHk djrs gSA vkSj ykHk dks vius fuos’k ds vuqikr ckaVus dk
fuf’pr djrs gSA ysfdu C O;olk; dks bl 'krZ ij 'kkfey gksrk gS fd
ykHk A, B vkSj C esa 1 : 1 : 1 esa foHkkftr gksxk vkSj blds fy, og mu
nksuksa dks 4,40,000 :- nsrk gSA A vkSj B bl /kujkf’k dks fdl vuqikr
esa ckaVsaxs vkSj B dks fdruk /ku feysxk\
(a) 3 : 1, 110000 (b) 1 : 3, 330000
(c) 1 : 3, 110000 (d) 3 : 1, 330000
Sol. (d)
Classical Approach:
A : B : C
Initial 5 : 7 : 0
Final 4 : 4 : 4
(5 – 4 = 1) : (7 – 4 = 3)
To distribute the profit in 1 : 1 : 1
A and B will have to reduce their capital in 1 : 3
Hence, they will share the money given by C in 1 : 3
∴ 4 = 440000, 1 = 110000 ∴ B will get = 330000
➢ Rent Sharing (Concept 3) When two or more persons take a place for rent. Then the
amount of rent is shared according to the multiplication of time
for which the place has been used and number of animals, things
etc. accommodated in the place.
➢ fdjk;s esa fgLlsnkjh ¼fl)kar 3½
tc nks ;k nks ls vf/kd O;fä fdjk, ij txg ysrs gSaA rks fdjk;s dks
txg ds mi;ksx ds le; rFkk txg ij j[ks tkuojksa] phtksa dh la[;k
ds xq.kuQy ds vuqikr esa ck¡Vk tkrk gSA
Eg.15 Three persons A, B, C rent the grazing of a park for Rs. 570. A puts
126 oxen in the park for 3 months, B puts in 162 oxen for 5
months and C puts in 216 oxen for 4 months. What part of the
rent should each person pay?
A, B rFkk C rhu O;fDr ,d pkjkxkg 570 :- fdjk;s ij ysrs gSA A 126
cSy 3 eghus ds fy,] B 162 cSy 5 eghus ds fy, rFkk C 216 cSy 4 eghus
ds fy, pjkrs gSA izR;sd vkneh fdruk Hkqxrku djrk gS\
(a) 105, 240, 225 (b) 105, 225, 240
(c) 126, 205, 239 (d) 126, 239, 205
Sol. (b)
Classical Approach:
Monthly Equivalent Investment of A = 126 × 3 = 378
Monthly Equivalent Investment of B = 162 × 5 = 810
Monthly Equivalent Investment of C = 216 × 4 = 864
∴ Rent is to be divided in the ratio 378 : 810 : 864, i.e., 7 : 15 : 16
∴ A would have to pay =+ +
7 7
7 15 16 38of the rent=105
∴B would have to pay 15
38of the rent = 225
∴ C would have to pay 16
38i.e.,
8
19of the rent = 240
❖ Neon Approach:(Thought Process)
Ratio of profit = Investment × time
Since time is reciprocal of investment
Ratio of profit = 1 : 1 : 1
Share of each = 1
3 × 1080 = 360
❖ Neon Approach (Thought Process):
Argument 1:
A = 126 × 3, B = 162 × 5, C = 216 × 4
Clearly the value of C will be highest so, option (a) and (d)
eliminated.
Argument 2:
In option (c) prime number 239 is present but value of C
does not have 239 in its multiplication i.e. 216 × 4
So, option (c) is eliminated.
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Ex.16 X, Y and Z subscribe to a canteen in 'Neon Town'. X ordered 3
meals/day for all 31 days of the month. Y ordered 2 meals/day
for whole month, except for 1 week. Z stayed in the town only for
15 days and ordered 1 meal/day during his stay. At the end of the
month, they got a bill of Rs. 20,800. Find out the share of X.
x, y rFkk z us fuvkWu Vkmu esa ,d dSUVhu esa fgLlk fy;kA x us eghus ds
izR;sd 31 fnu rd izfrfnu 3 [kkus dk vkWMZj fn;kA y us iwjs eghus izR;sd
fnu] dsoy 1 lIrkg NksM+dj 2 [kkus dk vkWMZj fn;kA z dLcs esa dsoy
15 fnu gh jgk vkSj rc rd izR;sd fnu 1 [kkus dk vkWMZj fd;kA eghus
ds var esa mUgsa 20,800 :i;s dk fcy vk;kA x dk fgLlk crkb;s\
(a) 9300 (b) 13300 (c) 10600 (d) 12400
Sol. (d)
Classical Approach:
Ratio of expense sharing
= (3 × 31) : (2 × 24) : (1 × 15) = 31 : 16 : 5
X's share =
31
52× 20,800 = Rs. 12,400
Neon Argument:
Share of X will be multiple of 31.
Option (a) and (d) satisfy.
Digit sum of our answer is 7.
Hence, (d) is correct.
Eg.17 Four milkmen rented a pasture., A put to graze 16 cows for 3
months. B 20 cows for 4 months, C 18 cows for 6 months and D
42 cows for 2 months. If A’s share of rent be Rs. 2400, the rent
paid by C is:
pkj nw?kokys ,d pkjkxkg fdjk;s ij ysrs gS A, 16 xk;s 3 ekg B, 20 xk;s
4 ekg C 18 xk;s 6 ekg D, 42 xk;s 2 ekg ds fy;s pjkrk gS] A ds fdjk;s
dk fgLlk 2400 :- rks C ds }kjk Hkqxrku fd;k x;kA
(a) Rs. 3200 (b) Rs. 4200 (c) Rs. 4000 (d) Rs. 5400
Sol. (d)
Classical Approach:
A : B : C : D
16×3 : 20×4 : 18×6 : 42×2
12 : 20 : 27 : 21
A B C D
Rent Ratio 12 20 27 21
2400 5400 2× 2×
Rent of C = 5400 Rs.
➢ Types of Partners (Concept 4) There are two types of partners
Working Partner A partner who manages the business is called a working partner.
He is paid remuneration for managing the business.
Forms of remuneration:
• Salary
• Commission on turn over
• Share in the profit
Sleeping Partner A partner who just invests the money but does not manage is
called a sleeping partner. The managing partner's remuneration
is paid first from the annual profit and the balance profit is
distributed among the partners as per the investment ratio.
➢ lk>snkj ds çdkj ¼fl)kar 4½
lk>snkj nks çdkj ds gksrs gSa
lfØ; lk>snkj
og lk>snkj tks O;olk; dk çca/ku djrk gS mls lfØ; lk>snkj dgk
tkrk gSA mUgsa O;olk; ds çca/ku ds fy, ikfjJfed fn;k tkrk gSA
ikfjJfed ds :i%
• osru
• VuZ vksoj ij deh'ku
• ykHk esa fgLlk
fuf"Ø; lk>snkj
og lk>snkj tks flQZ iSls dk fuos'k djrk gS] ysfdu çca/ku ugha djrk]
mls fuf"Ø; lk>snkj dgk tkrk gSA lfØ; lk>snkj ds ikfjJfed dk
Hkqxrku igys okf"kZd ykHk ls fd;k tkrk gS vkSj 'ks"k ykHk dks fuos'k ds
vuqikr ds vuqlkj lk>snkjksa ds chp ck¡Vk tkrk gSA
Eg.18 John, Robert and Hector enter into a partnership by investing
1500, 2500 and 3000 rupees respectively. John, as manager gets
one-tenth of the total profit and the remaining profit is divided
among the three in the ratio of their investment. If John’s total
share is Rs. 369, find the shares of Robert and Hector.
tkWu] jkWcVZ vkSj gSDVj us Øe'k% 1500] 2500 rFkk 3000 :i;s yxkdj
,d O;kikj 'kq: fd;kA tkWu dks eSustj gksus ds dkj.k dqy ykHk dk
1@10 Hkkx feyrk gS rFkk 'ks"k Hkkx rhukas esa caV tkrk gSA ;fn tkWu dk
dqy Hkkx 369 :i;s gS rks jkWcVZ rFkk gSDVj dk Hkkx Kkr djks\
(a) 405, 486 (b) 486, 405 (c) 582, 395 (d) 395, 582
Sol. (a)
Classical Approach:
John : Robert : Hector = 15 : 25 : 30 = 3 : 5 : 6
Let total profit = x
John's share = 0.1x +3
14× 0.9x = 369
4.1 x = 369 × 14 ⇒ x = 1260
Robert's share = 5
14× 1260 × 0.9 = 405
Hector's share = 6
14× 1260 × 0.9 = 486
Ex.19 A, B and C enter into a partnership in a business with capitals of
Rs. 5000, Rs. 6000 and Rs. 4000 respectively. A gets 30% of the
profit for managing the business and balance is divided in
proportion to their capitals. At the end of the year, A gets Rs. 200
more than B and C together. Find the total profit.
A, B rFkk C Øe'k% 5000] 6000 rFkk 4000 :i;s jkf'k yxkdj ,d
O;kikj esa lk>snkjh djrs gSA A ykHk dk 30 izfr'kr O;kikj dks O;ofLFkr
djus gsrq ysrk gS rFkk ykHk muds }kjk fuos'k dh x;h jkf'k ds vuqikr
esa caV tkrk gSA ;fn A dks B+C ls 200 :i;s vf/kd izkIr gksrs gS] rks
dqy ykHk fdruk gS \
(a) 3100 (b) 3300 (c) 3200 (d) 3000
❖ Neon Approach (Thought Process):
Ratio of Robert and Hector's share will be 5 : 6.
Only option (a) satisfies.
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Sol. (d)
Classical Approach:
A : B : C = 5: 6: 4
Suppose total profit = 300
A’s salary = 300 × 30
100= 90
Remaining = 210
A’s share = 5 ×210
15= 70
B’s and C’s share = 210 – 70 = 140
So, difference in A’s and (B + C)’s salary
= (90 + 70) –140 = 20 ⟶ 200
So, 300 ⟶ 200
20× 300 = 3000
Eg.20 A and B invests Rs. 15000 and Rs. 18000 in a business. A receives
Rs.54 per month out of the profit as a rumination for running the
business and the rest of the profit is divided between them. If in
a year A totally receives 948, what is the total profit?
A vkSj B ,d O;olk; esa 15000 :- vkSj 18000 :- dk fuos’k djrs gSA
A O;olk; pykus ds fy, ykHk esa ls izfr ekg 54 :- izkIr djrk gSa vkSj
'ks"k ykHk muds chp esa ckaVk tkrk gSA ;fn A ,d o"kZ esa dqy 948 :-
izkIr djrk gSa rks dqy ykHk D;k gS \
(a) 1208 (b) 1460 (c) 1308 (d) 1008
Sol. (c)
Classical Approach:
A : B = 15000 : 18000 5 : 6 A receives = 12 × 54 = Rs. 648
A’s share in remaining profit = 948 – 648 = Rs. 300
∴ B’s share = 6 × 60 = 360
∴ Total profit = 300 + 360 + 648 = 1308
Ex.21 James, Rex and David started a business with an investment of
Rs. 12 lacs, 8 lacs and 5 lacs respectively. James and Rex are also
working as CEO and Director and get paid a fixed monthly salary
of Rs. 37,000 and 28,000 respectively out of total profit. Find out
David's earnings out of a profit of 21 lacs at the end of the year.
tSEl] jSDl vkSj MsfoM us Øe'k% 12 yk[k] 8 yk[k rFkk 5 yk[k :i;s
yxk O;kikj 'kq: fd;kA tSEl vkSj jSDl Øe'k% CEO rFkk Mk;jsDVj ds
:i esa dke dj jgs gS rFkk dqy ykHk esa ls mUgsa izfr efgus Øe'k% 37000
rFkk 28000 :i;s dk osru fey jgk gSA o"kZ ds var esa 21 yk[k ds ykHk
esa ls MsfoM dk fgLlk Kkr djsa\
(a) 276000 (b) 268000 (c) 264000 (d) 255000
Sol. (c)
Classical Approach:
Total profit = 21 lacs
Yearly salary of James = 37,000 × 12 = 4,44,000
Yearly salary of Rex = 28,000 × 12 = 3,36,000
Remaining profit after deduction of salaries
= 21 - (4.44 + 3.36) = 21 - 7.8 = 13.2 lacs
James : Rex : David = 12 : 8 : 5
David's share =
5
25× 13.2 = Rs. 2,64,000
Neon Argument:
We can see 11 in 132 but there is no 11 in 5/25 so, our answer
will contain 11.
Only one option (c)
Eg.22 A and B enter into partnership. A supplies whole of the capital
amounting to Rs. 45000 with the condition that the profits to be
equally divided and that B pays A interest on half of the capital at
10% per annum, but receives Rs. 120 per month for carrying on
the concern. Find their total yearly profit when B's income is one
half of A's income.
A vkSj B lk>snkjh esa O;olk; izkjEHk djrs gSA A O;olk; esa laiw.kZ jkf’k
45000 :- bl 'krZ ij yxkrk gSA fd ykHk nksuksa esa cjkcj ckaVk tk,xk
vkSj B, A dks laiw.kZ jkf’k ds vk/ks ij 10% okf"kZd dh nj ls C;kt
pqdk;sxkA B ,120 :- izfr ekg O;olk; dks pykus ds fy, ykHk esa ls
ysrk gSA ;fn B dh vk;] A dh vk; dk vk/kk gks rks mudk okf"kZd ykHk
D;k gksxk\
(a) 8180 (b) 7180 (c) 9180 (d) 10180
Sol. (c)
Let total profit be x
Amount paid to B as salary = 120 × 12 = 1440
Share of each = −1440
2
x
Interest paid by B = 22500 10
100= 2250
Total money received by A = −1440
2
x+ 2250 =
+3060
2
x
∴ Total money received by B = −1440
2
x+ 1440 – 2250
=−3060
2
x
1
2-x
+ − − −
1 3060 3060
2 2 2
x x x = 9180
❖ Neon Approach (Thought Process):
Original ratio of A : B : C = 5 : 6 : 4
But A takes 30% share of B as well as C. So, let us give this 30%
from this ratio.
A : B : C
5 : 6 : 4
+18 : –1.8 : –1.2
+1.2
New ratio is,
A : B : C
8 : 4.2 : 2.8
Now, total A gets = 8
Total of B and C = 4.2 + 2.8 = 7
1 → 200
Total = 15 → 3000
So, total profit = Rs. 3000
❖ Neon Approach (Thought Process):
B pays to A = 45000 10
2 100 = 2250
Difference between A's and B's income = 2250 × 2 = 4500
But B get salary = 120 × 12 = 1440
So, this difference will reduce to 4500 - 1440 = 3060
Now, ratio of profit A : B = 2 : 1
1 → 3060
3 → 9180
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Eg.23 James, Bond and Alice started a business by investing in the ratio
of 4 : 7 : 9. After 5 months, James invested Rs. 15000 more and
after 9 months, Bond invested Rs. 10000 more. At the end of the
year, their profits are in the ratio of 39 : 58 : 72. Find the initial
investment of Bond?
tsEl] ckWUM o ,fyl ,d O;kikj izkjEHk djrs gSA 4 : 7 : 9 ds vuqikr esa
iwath yxkdj 5 efgus ckn tsEl 15000 vksj yxkrk gSA rFkk 9 efgus
ckn ckWUM 10000 vksj yxkrk gS ;fn o"kZ ds var esa mudk ykHk 39 : 58
: 72 esa gS rks ckWUM dh vkjfEHkd iwath crkvks\
(a) Rs. 65000 (b) Rs. 72000 (c) Rs. 78000 (d) Rs. 70000
Sol. (d)
Their profit ratio James : Bond : Alice
4x × 5 + (4x + 15000) 7 : 7x × 4 + (7x +10000) × 8 : 9x × 12
20x +28x + 105000 : 28x + 56x + 80000 : 9x× 12
There for, + +
=
20 28 105000 39
12 9 72
x x
x
+
=
48 105000 39
12 9 72
x
x⇒x = 10000
So, Initial investment of Bond = 7x = 70000
Eg.24 A business has four working partners and twelve sleeping
partners. After paying equal commitments to the working
partners. 80% of the profit remains and it is shared among all the
partners. If each working partners gets a total of 12000. Find his
commission.
,d O;kikj esa 4 lfØ; Hkkxhnkj rFkk 12 fuf"Ø; Hkkxhnkj gSA lfØ;
Hkkxhnkjh dks cjkcj fgLlk nsus ds ckn 'ks"k 80 izfr'kr ykHk lHkh Hkkxhnkjksa
dks ckaV fn;k tkrk gSA ;fn izR;sd lfØ; Hkkxhnkj dks 12000 :i;s
izkIr gksrs gSA mldk deh'ku fdruk gS \
(a) 4000 (b) 5500 (c) 6000 (d) 6500
Sol. (c)
Working partner gets = +20% 80%
4 16 =10%
So, 10% ⟶ 12000
5% ⟶ 6000
Eg.25 A and B are partners who share profit and loss in the ratio of 3:2,
They agree to take C into partnership of 1/4th share of profit. The
new profit sharing ratio will be:
A rFkk B nks lk>snkj gSa] tks ykHk vkSj gkfu dks vkil esa 3 : 2 esa ck¡Vrs gSaA os C dks Hkh lk>snkjh esa 1/4 ykHkka’k ij ysus dks jkth gks tkrs gSa] rks
ykHkka’k dk u;k vuqikr D;k gksxk\
(a) 9:6:5 (b) 5:6:9 (c) 6:5:9 (d) 9:5:6
Sol. (a)
A : B
3 : 2
12 : 8
Total profit = 20
C will get = 20 × 1
4 = 5
Remaining 20 – 5 = 15 will be distributed in 3 : 2
A will get A and B will get 6
So, new ratio of A : B : C = 9 : 6 : 5
❖ Neon Approach (Thought Process):
Since they gave 25% of C
So, remaining 75% will be distributed between A and B in the
ratio 3 : 2
75%
in 3 : 2
45 and 30
So,
A B C
45 30 25
9 : 6 : 5
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1. Three persons A, B and C enter into a partnership. A invests three
times as much as B while B invests two third of what C invests. At the
end of the year, the profit earned is Rs.6600. What is the share of B?
rhu O;fDr A, B o C ,d lk>snkjh esa gSaA A, B ls rhu xquk fuos'k djrk
gS tcfd B, C dk nks frgkbZ fuos'k djrk gSA o"kZ ds var esa] dek;k x;k
ykHk 6600 :- gSA B dk fgLlk fdruk gS \
(a) Rs. 1200 (c) Rs. 1800 (b) Rs. 1500 (d) Rs. 2100
1. (a)
Classical Approach:
Let the investment of C be 3x, and therefore
the investment of B will be 2x while that of A will be 6x.
The profit will get divided between A, B and C in the ratio 6:2:3
The share of B will be = 2
11× 6600 = Rs.1200
Alternatively:
A : B : C
6 : 2 : 3
Share of B = 2
660011
= RS. 1200
2. If A, B, C and D start a business. The amount invested by A and B
are in the ratio 1: 2, B and C is 2: 3 and C and D is 4: 5.If the profit
earned at the end of the year is 780. Find the profit earned by B.
A, B, C rFkk D us ,d O;kikj izkjaHk fd;kA A rFkk B }kjk fuos'k dh xbZ
jkf'k dk vuqikr 1 : 2] B rFkk C }kjk 2 : 3 rFkk C ,oa D }kjk 4 : 5 gSA
;fn o"kZ ds var esa 780 :i;s ykHk dek;k rks B us fdruk ykHk dek;k\
(a) 140 (b) 160 (c) 180 (d) 190
2. (b)
Classical Approach:
A: B = 1 : 2, B: C = 2 : 3, C: D = 4 : 5
A: B : C : D = 1 × 2 × 4 : 2 × 2 × 4 : 2 × 3 × 4 : 2 × 3 × 5
= 8 : 16 : 24 : 30 = 4 : 8 : 12 : 15
So, 4 + 8 + 12 + 15 = 39 ⟶ 780 ⇒ 1 ⟶ 780
39= 20
Profit of B = 20 × 8 = 160
3. James, Bond and Alice became partners in a business by investing
money in the ratio of 5 : 7 : 6. Next year, they increased it by 26%,
20% and 15%, respectively. In what ratio earned profit would be
distributed in 2nd year?
tsEl ckWUM o ,fyl O;kikj esa 5 : 7 : 6 ds vuqikr esa iwath yxkrs gSA vxys
o"kZ os Øe’k% 26%, 20% rFkk 15% viuh iwath c<+k nsrs gS rks crkvks nwljs
lky mudk ykHk fdl vuqikr esa ckaVk tk,xk\
(a) 20 : 21 : 36 (b) 28 : 21 : 36
(c) 63 : 28 : 36 (d) 21 : 28 : 23
3. (d)
Classical Approach:
Their investment ratio 5 : 7 : 6
Let, James is capital = 500 Bond = 700, Alice = 600
In two year their in 2 year
= 500 ×26
100 : 700 ×
120
100 : 600 ×
115
100
= 630 : 840 : 690 21 : 28 : 23
4. A, B, C subscribe Rs. 50,000 for a business A subscribes Rs. 4000
more than B and B Rs. 5000 more than C. Out of a total profit of
Rs. 35,000, A receives.
A, B, C 5000 #- esa- dksbZ O;kikj 'kq# djrs gSA A , B ls 4000 #- T;knk
B, C ls 5000 #- T;knk iSlk yxkrk gS ;fn dqy ykHk 35000 #- gS A dk
fgLlk crkvks ?
(a) Rs. 8400 (b) Rs. 11,900 (c) Rs. 13,600 (d) Rs. 14,700
4. (d)
Classical Approach:
As per question
B invest 5000 more than C
A invest 4000 more than B means
A invest 9000 more than C
If we reduce extra amount = 5000 + 9000 = 14000
the remaining amount is invested in 1 : 1 : 1 ratio so each invest
36000
3 = Rs. 12000
If we add that amount then investment is
A : B : C
21000 : 17000 : 12000
21 : 17 : 12
Total profit = 35000
A’s share = 35000
50× 21 = Rs. 14700
❖ Neon Approach (Thought Process): Since A : B : C : D = 4 : 8 : 12 : 15
So, share of B will be a multiple of 8. only option (b) satisfies.
❖ Neon Approach (Thought Process):
We can directly increase ratio by these percentages to get new ratio.
5 : 7 : 6
+26% +20% +15%
6.3 : 8.4 : 6.9
63 : 84 : 69
21 : 28 : 23
Worked-Out Problems
Application of Concepts
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5. Devdoot is a working partner of a business. He gets as his
commission 10% of the profits left after his commission is paid.
If the working partner’s commission is Rs. 30,000, find the total
profit.
nsonwr ,d O;olk; dk ,d lfØ; lk>snkj gSA mldk deh'ku 'kq+) ykHk
¼dqy ykHk & deh'ku½ dk 10% gSA ;fn lfØ; lk>snkj dk deh'ku
30]000 :i;s gS rks dqy ykHk Kkr djks\
(a) 3,30,000 (b) 3,00,000 (c) 2,70,000
(d) Can’t be determined
(e) None of these
5. (a)
Classical Approach:
Suppose the total profit is Z.
∴ The profit left after Devdoot's commission of Rs. 30,000 is paid
= (Z - 30,000).
10% of this is the working partner's commission.
So, (0.1) (Z - 30,000) = 30,000 ⇒ 0.1Z = 33,000
∴ Z = Rs. 3,30,000.
6. A, B and C started a business each investing Rs. 10000. After 4-
month A withdraws Rs. 3000, B withdraws Rs. 4000, C invest Rs.
3000 more. At the end of the years, a total profit was Rs. 32800.
Find the share of C.
A, B rFkk C us izR;sd us 10,000 #- dk fuos’k djds O;olk; 'kq# fd;kA
4 efgus ds ckn A us 300 #- o B us 4000 #- fudky fy, rFkk C us 3000
#- vkSj yxk fn,A ;fn lky ds var esa dqy ykHk 32800 #- gks rks C dk
fgLlk D;k gksxk ?
(a) Rs. 10000 (b) Rs. 14400 (c) Rs. 17600 (d) Rs. 19200
6. (b)
Classical Approach:
Total investment ratio of A, B, C in one year
A = 10000× 4 + 7000 × 8 ⇒ 40 + 56 = 96
B = 10000 × 4 + 6000 ×8 ⇒ 40 + 48 = 88
C = 10000 × 4 + 13000 × 8 ⇒ 40 + 104 = 144
96 : 88 : 144
Share of = 144
328× 32800 = Rs. 14400
7. A and B run a business in a certain year. The salary of A turns out
to be equal to 20% of the balance of the profit left after his salary
was paid. If A finally received a total of 35000 after splitting the
remaining profit equally between the two. Find the profit made
in that year.
A rFkk B us fuf'pr o"kksZ rd ,d O;kikj pyk;kA ;fn A dh ru[okg
ykHk esa ru[okg fudky yssus ds i'pkr~ cph jkf'k ds 20 izfr'kr ds
cjkcj gSA cps gq, ykHk dks nks cjkcj Hkkxksa esa ckaV ysus ds i'pkr~ A dks
dqy 35000 :i;s izkIr gksrs gSA dqy ykHk fdruk gs \
(a) 40000 (b) 50000 (c) 60000 (d) 70000
7. (c)
Classical Approach:
Let salary of A = x
Total Profit = P
x = 20% of (P – x)
x = 1
5(P – x) P = 6x …..(1)
A’s share = x + −
2
P x= 35000
x + −6
2
x x= 35000 x +
5
2
x= 35000
⇒ 7
2
x= 35000 x = 10000
Total profit = 6x = 60000
8. James received Rs. 30000 as his share out of the total profit of Rs.
45000 which he and Bond earned at the end of one year. If James
invested Rs. 60000 for 6 months, whereas Bond invested his
amount for the whole year, what was the amount invest by Bond?
tSEl dks 45000 #- esa ls 30000 #- ykHk feykA tks fd tSEl rFkk ckWUM
}kjk ,d lky esa dek;k x;k FkkA ;fn tSEl 60000 #- 6 eghus ds fy,
bUosLV djrk gS rFkk ckWUM iwjs lky ds fy, buosLV djrk gS] rks ckWUM
}kjk bUosLV dh xbZ jkf'k Kkr djsa\
(a) Rs. 12000 (b) Rs. 15000 (c) Rs. 18000 (d) Rs. 50000
8. (b)
Classical Approach:
Money invested,
James : Bond
60,000 : P
6 : 12
❖ Neon Approach (Thought Process):
10% = 1 Commission
10 Profit left after commission is paid=
Total profit = 10 + 1 = 11
Applying Aryan's ratio
=1 11
30000 x x = 330000
❖ Neon Approach (Thought Process):
30,000 is 10% of the remaining amount
So, if 30,000 is added to the remaining amount we'll get a total amount
Now, 3,000 will be 9.09% of the total amount i.e. 1/11
Aryan's ratio
1 30,000
11 3,30,000=
Total amount = 3,30,000
❖ Neon Approach (Thought Process):
A : B : C = 12 : 11 : 18
Share of C will be a multiple of 9. Only option (b) satisfies.
❖ Neon Approach (Thought Process):
20% = 1 Salary of A
5 Profit left after salary is paid=
Total profit = 5 + 1 = 6
A will get 1 + 5/2 = 3.5
B will get 6 – 3.5 = 2.5
Applying Aryan's ratio
3.5 6
35000 x= x = 60,000
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60000× 6 : P ×12
30000 : P
30000
P =
30000
15000 =
2
1
30,000 = 2P 15000 = P
So, the money invested By Bond is 15000 for 12 months
9. A, B and C are partners in a business. A, whose money has been
used for 4 months, claims 1
8of the profit. B, whose money has
been used for 6 months, claims1
3of the profit. C had invested Rs
1560 for 6 months. How much money did A and B contribute?
A, B rFkk C ,d O;kikj esa lk>snkj gSA A ftldk /ku 4 eghus ds fy,
mi;ksx esa fy;k x;k] ykHk dk 1
8Hkkx izkIr djrk gSA B ftldk /ku 6
eghus ds fy, mi;ksx esa fy;k x;k dks 1
3ykHk izkIr gksrk gSA C us 1560
:i;s 6 eghus ds fy, fuos'k fd;sA A rFkk B us fdruk fuos'k fd;kA
(a) Rs. 540, Rs. 960 (b) Rs. 480, Rs. 720
(c) Rs. 840, Rs. 1120 (d) Rs. 720, Rs. 1080
9. (a)
Classical Approach:
C's profit = 1 - +
1 1
8 3=
13
24
Let A and B invested Rs. x and Rs. y respectively
A : B : C
x×4 : y×6 : 1560 × 6
1
8 :
1
3 :
13
24
⇒ x × 4 : y × 6 : 1560 × 6
3 : 8 : 13
Now
=4 1560 6
3 13
x ⇒ x = Rs. 540
and
=6 1560 6
8 13
y⇒ y = Rs. 960
10. A, B and C are partners. A receives 9/10 of the profit and B and C
share the remaining profit equally. A’s income is increased by Rs.
270 when the profit rises from 12% to 15%. Find the capital
invested by B and C each
A, B o C lk>snkj gSA A ykHk dk 9/10 Hkkx izkIr djrk gS rFkk B o C cps ykHk
dks cjkcj ckaV ysrs gSA tc ykHk 12% ls c<dj 15% gks tkrk gS rks A dh
vk; 270: c< tkrh gSA B o C izR;sd }kjk fuos’k dh xbZ iw¡th Kkr djksA
(a) Rs. 5000 (b) Rs. 1000 (c) Rs. 500 (d) Rs. 1500
10. (c)
Classical Approach:
Let Total profit = x Profit of A = 9x/10
Remaining profit = x/10
Profit of B = x/20 Profit of C = x/20
Ratio of profit = 9 1 1
: :10 20 20
= 18 : 1 : 1
A’s income is increased by Rs. 270. When profit rises 3%
Investment of A = 270/3 × 100 = Rs. 9000
If investment of A, B and C =18x, x and x
18x = 9000 x = 500
B's investment = Rs. 500, C's investment = Rs. 500
Alternatively:
3% means 3
100
of A is 270.
B will get 0.5
9 of A
Applying Aryan's ratio
3 0.5
100 9270 x
= x = 500
11. Three persons James, Alice and Bond agree to pay their hotel bills
in the ratio 3 : 4 : 5. James pays the first day’s bill which amounts
to Rs. 26.65, Alice pays the second days bill which amounts to Rs.
42.75 and Bond pays the third day’s bill which amounts to Rs.
53.00. When they settle their accounts, which of the following
happens?
rhu O;fDr tSEl] ,fyl rFkk ckWUM gksVy ds fcy dk Hkqxrku 3 : 4 : 5
vuqikr esa djus ds fy;s lger gksrs gS igys fnu tSEl 26-65 :- ds
fcy dk Hkqxrku djrk gS] nsljs fnu ,sfyl 42-75 :- ds fcy dk Hkqxrku
djrh gS] rhljs fnu ckaM+ 53-00 :- ds fcy dk Hkqxrku djrk gSA
(a) James gives Rs. 3 to C
(b) Alice gives Rs. 2 to James
(c) James gives Alice Rs. 1.95 and Rs. 2 to Bond
(d) none of the above
11. (c)
Classical Approach:
❖ Neon Approach (Thought Process):
Ratio of profit of James : Bond = 2 : 1
James invested 60000 for 6 months
He invested 30000 for 1 year so, Bond invested 15000 for 1 year
❖ Neon Approach (Thought Process):
A : B : C
Profit 3 : 8 : 13
Time 2 : 3 : 3
Capital 3
2 :
8
3 :
13
3
9 : 16 : 26
Capital of C is slightly less than three times the capital of A
Option (a) 540 × 3 = 1620 and 1560 is less than 1620
Hence, option (a) is correct.
❖ Neon Approach (Thought Process):
Since A takes 9/10
So, remaining = 1/10
This is equally shared between B and C
So, each gets 1/20 and 1/20
A : B : C = 18 : 1 : 1
Now, 3% of A's income = 270
100% of A's income = 9000
Aryan's ratio
18 9000
1 500=
B's investment = 500
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Total Bill = 26.65 + 42.75 + 53 = 122.40 Rs.
Divide bill = James Alice Bond
3 4 5 = 12
30.6 40.8 51 122.40
×10.2 ×10.2 ×10.2 ×10.2
James : Alice : Bond
Decided bill → 30.6 40.8 51
Paid Bill → 26.65 42.75 53
+1.95 +2
Have James gives Alice Rs. 1.95 and Rs. 2 to Bond
12. A, B, C starts a partnership. The capital of A, B, C are in the ratio
of 10 : 9 : 6, and the time period of A : B is in the ratio of 2 : 3. B
gets 10,800 shares out of a total profit of 26,000. If A’s capital was
in the business for 8 months, for how many months was C’s
capital there?
A, B, C ,d lka>k O;kikj djrs gSA A, B, C ds }kjk /ku Øe’k% 10 : 9 : 6
ds vuqikr esa yxk;kA A o B ds le; dk vuqikr 2 : 3 gSA B dks 10800
:i;s dk ykHk gqvk dqy ykHk 26000 esa lsA ;fn A ds }kjk /ku 8 efgus
ds fy, yxk;k x;k gSA rks crkvksa C ds }kjk fdrus efgus ds fy, iwath
fuos’k dh xbZ gSA
(a) 24 (b) 14 (c) 12 (d) 8
12. (c)
Classical Approach:
Their investment ratio
A : B : C = 10 : 9 : 6
Time period ratio of A and B = A : B = 2 : 3
But A’s capital was in the business for 8 month Hence B’s capital
in the business = 3 × 4 = 12 month
Let C’s capital was in the business for y month
Then their profit ratio
A : B : C = 10 × 8 : 9 × 12 : 6 × y 80 : 108 : 6y
Hence, +
108
188 6 y× 26000 = 10800 y = 12 months
13. A & B enter into a speculation. A puts in Rs. 50 and B puts in Rs.
45. At the end of 4 months A withdraws half his capital and at the
end of 6 months B withdraws half of his capital. C then enters
with a capitals of Rs. 70. At the end of 12 months in what ratio
will the net profit be divided?
A vkSj B us ,d lk>snkjh dhA A us 50 :i;s vkSj B us 45 :i;s yxk;sA
4 eghus ds var ij A us viuh vk/kh jkf'k fudky yh vkSj 6 eghus ds
var ij B us viuh vk/kh jkf'k fudky yhA blds ckn C, 70 :i;s ds
lkFk 'kkfey gqvkA lky ds var esa muesa usV ykHk fdl vuqikr esa gksxk\
(a) 60 : 71 : 84 (b) 40 : 41 : 42
(c) 80 : 81 : 84 (d) 5 : 7 : 9
13. (c)
Classical Approach:
A’s capital = Rs. (25 × 12) + (25 × 4) = Rs. 400
B’s capital =Rs.
+
45 4512 6
2 2= Rs. 405;
C’s capital = Rs. (70 × 6) = Rs. 420
∴ Ratio of share of profits = 400 : 405 : 420 = 80 : 81 : 84
14. James, Bond and Alice enter into a partnership. Bond invests 20%
more than James and Alice invests 50% more than James. Bond
and Alice invests their capital for 20 months, 10 months, and 15
months respectively and the profit is Rs. 130800, then find the
cost of bike after 1 years that Alice bought from his share of profit
if price of bike is depreciated at the rate of 20% half yearly?
tsEl] ckWUM rFkk ,fyl ,d O;kikj esa lk>k djrs gSA ckWUM 20% T;knk iwath
yxkrk gSA tsEl ls rFkk ,fyl 50% T;knk iwath yxkrh gSa tsEl lsA ;fn
tsEl] ckWUM rFkk ,fyl iwath 20 eghus] 10 eghus] 5 eghus ds fy, yxkrs
gSA dqy ykHk 130800 rks ckbZd dh dher crkvks tks ,fyl us 1 lky ckn
[kjhnh mls izkIr ykHk lsA ;fn ckbd dh dher izR;sd 1/2 o"kZ 20% de
gksrh gSA
(a) 34560 (b) 39366 (c) 49366 (d) 29360
14. (a)
Classical Approach:
According to question,
=120
100
Bond
James=
150
100
Alice
James
Let investment of James = 100, Bond = 20
Alice = 150
Their profit ratio
James : Bond : Alice = 100 × 20 : 120 × 10 : 150 × 15
200 : 120 : 125 40 : 24 : 45
Share of Alice = 45
109× 130800 = 54000
Cost of Bond = 54000 × 80
100×
80
100 =Rs. 34560
15. Twelve friends (1, 2, 3, 4, … 10, 11, 12) who are also business
partners invested a certain amount of money in a business in the
ratio of 12 : 11 : 10 : 9 : 8 : 7 : … 3 : 2 : 1. The duration for which
they invested their money is in the ratio of 1 : 2 : 3 : 4 : … 10 : 11
: 12. Calculate who will obtain the maximum profit at the end of
the year.
12 nksLr ¼1, 2] -------------- 10, 11, 12½ tks fd O;olk; lk>snkj Hkh gS os
O;olk; esa jkf'k dks 12 : 11 : 10 : 9 : 8 : 7----------------- : 3 : 2 : 1 ds vuqikr
esa fuos'k djrs gSA os jkf'k dks 1 : 2 : 3 : 4 ----------------- 10 : 11 : 12 ds
vuqikr ds le; varjky esa fuos'k djrs gSA lky ds var esa fdls lokZf/kd
ykHk izkIr gksxk\
(a) 6th & 7th (b) 6th (c) 7th (d) 12th
(e) 1st
15. (a)
Classical Approach:
Profit are always distributed in the ratio of product of the time
and money of every individual partners.
So, the ratio of profit =
12 × 1 : 11 × 2 : 10 × 3 : 9 × 4 : 8 × 5 : 7 × 6 : 6 × 7 : 5 × 8 : 4 × 9 : 3
× 10 : 2 × 11 : 1 × 12
So, the maximum profit will be earned by two partners i.e. 6th and
7th partners.
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16. James, Bond, and Rex start a business with 30 000, 40000, and
50000 respectively. James stays for the entire year. Bond leaves
the business after two months but rejoins after another 4 months
but only with 3/4th of his initial capital. Rex leaves after 3 months
and rejoins after another 5 months but with only 4/5 of his
capital. If the year- end profit is 27,900 how much more than
Bond did Rex get?
tsEl] ckWUM o jsDl us ,d O;kikj 30,000, 40,000 rFkk 50000 yxkdj
'kq: fd;kA tsEl iwjs lky rd O;kikj djrk gS ckWUM 2 efgus ckn O;kikj
NksM+ nsrk gS ysfdu 4 efgus ckn nksckjk O;kikj esa igys okys /ku dk ¾
/ku yxkdj O;kikj 'kq: djrk gSA jsDl 3 efgus ckn O;kikj NksM nsrk
gS ysfdu nksckjk igys okys /ku dk 4/5 yxkdj O;kikj es avk tkrk gSA
;fn o"kZ ds var esa 27900 dk ykHk gqvk rks crkvksa ckWUM dks jsDl ls
fdruk T;knk ykHk feyk \
(a) 10800 (b) 1500 (c) 7800 (d) 9300
16. (b)
Classical Approach:
Their investment Ratio
James : Bond : Rex = 30,000 : 40,000 : 50,000 = 3 : 4 : 5
3x × 12 : 4x × 2 + 4x × 3
4× 6 : 5x × 3 + 5x ×
4
5× 4 = 36 : 26 : 31
Rex get more than Bond = 5
93× 27900 = Rs. 1500
17. A began a business with Rs. 450 and was joined afterwards by B
with Rs. 300. When did B join if the profit at the end of the year
was divided in the ratio 2 : 1?
A us 450 :i;s esa ,d O;olk; 'kq: fd;k vkSj ckn esa B, 300 :i;s ds lkFk
'kkfey gqvkA ;fn o"kZ ds var esa ykHk 2 : 1 esa caVs rks B dc 'kkfey gqvk Fkk\
(a) 9 (b) 6 (c) 8 (d) 3
17. (d)
Classical Approach:
A’s capital = Rs. (450 × 12) = Rs. 5400
As they share profit in the ratio 2 : 1
∴ B’s capital = Rs. 5400
2= Rs. 2700; B bring in Rs. 300.
∴ B’s capital stays in the business for 2700
300months = 9 months
∴ B joins after (12 – 9) = 3 months.
18. Akash and Suketu entered into a partnership. Suketu invested Rs.
500 more than Akash. The capital of Akash remained in the
business for 5 months and the capital of Suketu remained in the
business for 1 month more than the capital of Akash. If the total
profit is Rs. 2600 and Akash gets Rs. 600 less than Suketu, find
the capital of Suketu.
vkdk'k vkSj lqdsrw us ,d lk>snkjh 'kq: dhA lqdsrw us vkdk'k ls 500
:i;s vf/kd fuos'k fd;sA vkdk'k dh iwath O;olk; esa 5 eghus jgh vkSj
lqdsrw dh jkf'k vkdk'k ls 1 eghus vf/kd jghA ;fn dqy ykHk 2600
:i;s gS vkSj vkdk'k dks lqdsrw ls 600 :i;s de feys rks lqdsrw dh
iw¡th Kkr djks\
(a) Rs. 1500 (b) Rs. 2000 (c) Rs. 2500 (d) Rs. 3000
(e) Rs. 1800
❖ Neon Approach (Thought Process):
As per series, middle terms will give us the maximum value of product of these two series.
It has even number of terms so there will be two middle terms i.e. 6th and 7th.
❖ Neon Approach (Thought Process):
A : B
Investment 3 : 2
Profit 2 : 1
Time 2
3 :
1
2
4 : 3
A invested his capital for 12 months so, B invested his capital
for 9 months.
Hence, B joined after 12 – 9 = 3 months
❖ Neon Approach (Thought Process):
A : B
Investment 3 : 2
Profit 2 : 1
Time 12 :
A gave 50% more investment = 1
2
A get 100% more profit than B
Because A gave 33.33% more time
AS successive of 50% + 33.33% = 100%
Or in ratio,
Successive of 1 1 1 1 1 1
2 3 2 3 2 3+ + + =
3 2 1 6
6 6
+ += = 100%
Since, A gave 12 months
i.e. A gave 1/3 more time
By CPR
So, b gave 1/4 less time = 12 – 3 = 9 months
i.e. B joined after 3 months
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18. (b)
Classical Approach:
Assume Akash's investment be Rs. A
∴ Suketu's investment will be Rs. (A + 500)
Share of profit of Akash : Suketu = 1000 : 1600 = 5 : 8
( )
=
+
5 5
500 6 8
A
A⇒ A = 1500
Suketu invested 1500 + 500 = 2000
19. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen
for 5 months and C puts 15 oxen for 3 months for grazing. If the
rent of the pasture is Rs. 175, how much must C pay as his share
of rent ?
A, B, C us ,d cM+k (pkjkxkg) m/kkj ij fy;kA A us 10 cSy 7 eghus ds fy,]
B us 12 cSy 5 eghus ds fy, rFkk C us 15 cSy 3 eghus ds fy, pjk;sA ;fn
pkjkxkg dk fdjk;k 175 #- gS rks C dks fdruk fdjk;k nsuk gksxk ?
(a) 45 (b) 55 (c) 50 (d) 60
19. (a)
Classical Approach:
A : B : C
10 : 12 : 15
7 : 5 : 3
14 : 12 : 9
Total rent pasture = 175
C’s share = 175
35× 9 = 45
20. Two persons A and B take a field on rent. A puts on it 21 horses
for 3 months and 15 cows for 2 months. B puts 15 cows for 6
months and 40 sheep for 1
72
months. If one day, 3 horses eat as
much as 5 cows and 6 cows as much as 10 sheep, what part of the
rent should A pay?
A o B us ,d [ksr fdjk;s fy;kA 21 ?kksM+s 3 efgus ds fy, rFkk 15 xk;
2 efgus ds fy, j[kh rFkk B us 15 xk; 6 efgus ds fy, rFkk 40 HksM+
eghus ds fy, j[kh gS ;fn ,d fnu esa 3 ?kksM+s 5 xk; ds cjkcj [kkrh
rFkk 6 xk; 10 HksM+ ds cjkcj [kkrh gSA rks A us fdruk fgLlk fdjk, ij
fy;kA
(a) 1
3rd (b)
2
5th (c) 2
3rd (d)
1
5th
20. (a)
Classical Approach:
According to question – 3H = 5C, 6 C = 10 S
Their rent ratio Hence,
A : B = 21H × 3 + 15C × 2 : 15c × 6 + 40s ×15
2
105 C + 30 C : 90 C + 180 C 135 : 270
Part of the rent should A pay = =135 1
405 3rd
21. A, B and C enter into partnership with capitals in the ratio of 2 : 5
: 3. B joins a few months later than A and C joins 2 months later
than B and withdraws from the business some time before the
year ends. If the ratio in which profits are distributed is 8 : 10 : 3.
(i) How many months later does B join, and
(ii) How many months earlier does C withdraw
A, B vkSj C ,d lk>snkjh esa 2 : 5 : 3 ds vuqikr esa jkf’k fuos’k djds 'kq:
djrs gSA B us A ls dqN efgus ckn vkSj C us B ls 2 efgus ckn tkbZu
fd;k vkSj o"kZ ds var ls igys O;olk; ls dqy jkf’k fudky ysrs gSA ;fn
ykHk 8 : 10 : 3 ds vuqikr esa ck¡Vs rks
(i) B us fdrus efgus ckn tkWbZu fd;kA
(ii) C fdrus efgus igys O;olk; ls fudy x;kA
(a) 6, 2 (b) 6, 1 (c) 5, 2 (d) 5,1
21. (b)
Classical Approach:
Let B join x months later and C withdraw y months earlier.
Amounts of investment are 2r, 5r and 3r.
A’s contribution = 2r × 12 = 24r
B’s contribution = 5r × (12 – x)
C’s contribution = 3r × (12 – x – 2 – y) = 3r × (10 – x – y)
Since the ratio of profits for A and B is 8 : 10, therefore,
24r : 5r (12 – x) = 8 : 10 or ( )
=−
24 8
5 12 10x or x = 6.
Therefore, B invested 6 months after A started.
(ii) Similarly,
( )
=− −
24 8
3 10 3
r
r x y
( )− −
24
3 10 6
r
r y=
8
3 y = 1.
Therefore, C withdraws 1 month before the end of the year, that
is, at the end of 11 months.
17
2
❖ Neon Approach (Thought Process):
Akash gets Rs. 600 less than Suketu. So, 2600 – 600 = 2000
will be distributed equally.
Akash will be get Rs. 1000 and Suketu will get 1000 + 600
= 1600.
Akash Suketu
Time 5 : 6
Profit 5 : 8
Capital 5
5 :
8
6
3 : 4
Extra amount invested by Suketu = 1 = 500
Amount invested by Suketu = 4 = 2000
❖ Neon Approach (Thought Process):
A : B : C
Capital 2 : 5 : 3
Profit 8 : 10 : 3
Time 8
2 :
10
5 :
3
3
4 : 2 : 1
Since, A stayed for 12 months. So, B stayed for 6 months. Hence, B joined after 6 months and C invested his capital for 3 months. C joined 2 months after B so, he joined after 8 months. Because C invested for 3 months so, he stayed upto 8 + 3 = 11 months. So, he left before 1 month.
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22. Nakul started a business with 25000 and after 4 months Sanjay
joined him with 60000. Nakul received 58000 including 10% of
the profits as a commission for managing the business. What
amount did Sanjay receive?
udqy us 25,000 :- ds lkFk O;kikj vkjaHk fd;kA 4 ekg ckn B, 60,000
:- ds lkFk O;kikj esa 'kkfey gks x;kA udqy dks dk 10% dfe’ku 'kkfey
djrs gq, 58000 #- izkIr gq;s rks lat; us fdruk /ku izkIr fd;k
(a) 72000 (b) 66000 (c) 74000 (d) 69000
22. (a)
Classical Approach:
Nakul: Sanjay = 25000×12 : 60000×8
Final ratio = 5 : 8, Let total profit = 100 P
∴ Nakul ‘s share = 10 p + 90p ×5
13 = 58000
P = 1300 ∴ Total profit = 130000
∴ Sanjay will get = 130000 × 90 8
100 13 = 72000
23. Three friends started a business of renting out air conditioners by
investing Rs.20000, Rs. 24000 and Rs.16000, respectively. C gets
20% of total profit for repair and maintenance of the air
conditioner. If in a particular year, C gets Rs.487.50 less than the
total earnings of the other two, then the total profit for the year is:
rhu nksLrksa us Øe’k% 20000: 24000: o 16000: fuos’k djds ,;j
daMh’kuj fdjk;s ij nsus dk O;olk; vkjaHk fd;kA C dks ,;j daMh’kuj
dh ejEer o ns[kHkky ds fy, dqy ykHk dk 20% Hkkx feyrk gSA ;fn
,d fuf’pr o"kZ esa, C dks ckdh nksuksa ds dqy ;ksx ls 487.50: de izkIr
gq, gS rks ml o"kZ dqy ykHk gS-
(a) Rs.2812.50 (b) Rs.3625.50
(c) Rs.4515.00 (d) None of these.
23. (a)
Classical Approach:
80% of the total Profit is divided in the ratio.
20000:24000:16000 = 5:6:4
80% of total profit = 5x + 6x + 4x =15x
Total profit = 15
80%
x× 100 = 18.75x
∴ Share of C in profit = 4x + 20% of 18.75x = 4x + 3.75x = 7.75x
Share of A in profit = 5x Share of B in profit = 6x
∴ (6x +5x)-7.75x = 487.50
3.25x = 487.50 x =150
∴ Total profit = 18.75 × 150 =Rs.2812.50
24. Leo and Hector started a business with different capitals. Leo was
to get 15% of the profit as salary and the rest was to be divided
in the ratio of their investments. Had the entire profit been
distributed in the ratio of their investment, Hector would have
got 1350 more than what he actually got. Calculate what is
Hector’s actual share of the profit.
fy;ks vkSj gSDVj us fofHkUu iwath ds lkFk ,d O;olk; 'kq: fd;kA fy;ks
dks osru ds :i esa ykHk dk 15% izkIr gqvk vkSj ckdh dks muds fuos'k
ds vuqikr esa foHkkftr fd;k tkuk FkkA ;fn iwjs ykHk dks muds fuos'k ds
vuqikr esa forfjr fd;k tkrk] rks gSDVj dks okLro esa tks feyk mlls
1350 vf/kd feyrkA x.kuk djsa fd gSDVj ds ykHk dk okLrfod fgLlk
D;k gS\
(a) Rs. 7250 (b) Rs. 7650 (c) Rs. 6750 (d) Rs. 5650
(e) None of these
24. (b)
Classical Approach:
Leo : Hector = a : b
Let total profit = 100
Leo will get = 15 ++
85a
a b
Hector will get = +
85b
a b
If profit is distributed in the ratio of investment then Hector will
get = +
100b
a b
Extra = − =+ + +
100 85 15b b b
a b a b a b
+
15b
a b= 1350 ⇒ =
+
1350
15
b
a b
Actual profit of Hector =+
85b
a b= 85 ×
1350
15= 7650
25. In a business partnership of three people A, B and C, B’s share in
total profit is Rs. 250 per Rs. 2000. At this profit his return on
investment is 15%. If B earns total of Rs. 900, what is the total
investment made by A and C in business? Assume that each of A,
B and C have invested their money for the entire year and profits
are shared in the ratio of their investments.
rhu O;fDr;ksa A, B vkSj C ds O;kikj lk>s esa dqy ykHk esa B dk 'ks;j 250
:-@2000 :- gSA bl ykHk ij mldk fuos’k ij izfrQy 15% gSA ;fn
B dqy 900 :- dekrk gS rks A vkSj C us O;olk; esa dqy fdruk fuos’k
fd;k ekuk fd A, B vkSj C esa ls izR;sd mudh jkf’k dks iwjs o"kZ ds fy,
fuos’k djrk gS vkSj ykHk muds fuos’k ds vuqikr esa ck¡Vk tkrk gSA
(a) Rs. 48000 (b) Rs. 42000 (c) Rs. 6000 (d) Data insufficient
❖ Neon Approach (Thought Process):
A : B : C = 5 : 6 : 4
C will get = 20% + 4
80%15
of
A + B will get = 11
80%15
of
A + B – C
= − = − =7 7 4 1 13
80% 20%15 155 5 5 75
of
Using Aryan ratio
= 13 487.50
75=
x x = 2812.5
❖ Neon Approach (Thought Process):
Here, Leo got 15% of the share of Hector.
15% of share of Hector = 1350
100% of share of Hector = 9000
Actual share of Hector = 9000 – 1350 = 7650
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25. (b)
Classical Approach:
B’s share in the profit = 250 per 2000
If B gets Rs. 900, total profit = 2000 ×900
250= 7200
B’s return on investment = 15%
∴900
B's investment× 100 = 15
∴ B’s investment = 6000
∴ The profits are shared in the ratio of their investments.
Total investment = 6000 ×7200
900= 48000
∴ Investment made by A and C = 48000 – 6000 = 42000
❖ Neon Approach (Thought Process):
Profit of B = 900
Now, we will apply Aryan's ratio to calculate total profit
250 900
2000 x= x = 72
B gets 15% on his investment as profit.
So, total investment of B = 15 100
900 y= y = 6000
From total profit of 7200 B gets 900
A + C will get 7200 – 900 = 6300
Now, to calculate investment of A + C we will apply Aryan's ratio
900 6300
6000 z= z = 42000
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1. ‘A’ and ‘B’ start a business with 5000 and 6000 respectively. If the
profit at the end of the year is 550. Find the profit of ‘A’
'A' rFkk 'B' Øe'k% 5000 rFkk 6000 ds lkFk ,d O;kikj izkjaHk djrs
gSA ;fn o"kZ ds var esa gqvk ykHk 550 gSA A dk ykHk gS\
(a) 250 (b) 300 (c) 350 (d) 200
2. A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000
and Rs. 55,000 respectively. The respectively shares of A, B, C in
an annual profit of Rs. 40,500 are:
A, B, C ,d lka>snkjh esa Øe’k% :i;s 35000, 45,000 vkSj 55,000
yxkrs gS ;fn o"kZ ds vUr esa dqy 40]500 dk ykHk gks rks A, B, C dk
ykHk esa fgLlk Kkr djksA
(a) Rs. 13,500, Rs. 16,500, Rs. 10,500
(b) Rs. 10,500, Rs. 13,500, Rs. 16,500
(c) Rs. 13,500m Rs, 10,500, Rs. 16,500
(d) None of the above
3. A, B and C started a business. The amount invested by A and B are
in the ratio 2: 3 whereas the ratio of investment of B and C is 2:3.
If the total profit earned is Rs. 760. Find the profit earned by C.
A, B rFkk C ,d O;kikj izkjaHk djrs gSA A rFkk B }kjk fuos'k dh xbZ
jkf'k dk vuqikr 2 : 3 gSa B rFkk C }kjk fuos'k dh xbZ jkf'k dk vuqikr
2 : 3 gSA ;fn dqy ykHk 760 :i;s dek;k rks C us fdruk ykHk dek;k\
(a) 320 (b) 340 (c) 350 (d) 360
4. A, B, C and D enter into partnership, A subscribes 1/3 of the
capital, B 1/4, C 1/5 and D the rest. What is the share of D out of
a profit of Rs. 6000?
A, B, C o D fdlh lk>s esa Øe’k% A /ku dk 1/3, B /ku dk 1/4, C /ku dk
1/5 vkSj 'ks"k /ku D yxk;k gS] 6000 #- ds ykHk esa ls D dk fgLlk D;k gS\
(a) Rs. 2000 (b) Rs. 1600 (c) Rs. 1200 (d) Rs. 1300
5. Three persons A, B and C invested Rs.3000, Rs.5000 and Rs. 7000
to start a business. At the end of the year the profit is Rs.100000,
out of which 25% goes for charity. By how much is B’s share
greater than A’s share?
rhu O;fDr A, B o C, 3000 :- 5000 : o 7000 : fuos'k djds ,d
O;kikj vkjaHk djrs gSaA o"kZ ds var esa ykHk 100000 :- gS] ftlesa 25%
nku esa ns fn;k tkrk gSA B dk fgLlk] A ds fgLls ls fdruk vf/kd gS\
(a) Rs.20000 (b) Rs.5000 (c) Rs.10000 (d) None of these
6. p, q, r enter into a partnership. p contributes one-third of the
whole capital while q contributes as much as p and r together
contribute. If the profit at the end of the year is Rs. 1,68,000, how
much would each receive?
p, q vkSj r lka>s esa O;kikj djrs gSA p laiw.kZ /kujkf'k dk 1
3tcfd q, p
vkSj r ds lfEefyr /kujkf'k ds leku /kujkf'k yxkrk gSA ;fn o"kZ ds var
esa ykHk :i;s 1]68]000 gks rks izR;sd dks feysxk\
(a) 48,000, 40,000, 80,000 (b) 56,000, 84,000, 28,000
(c) 56,000, 84,000, 20,000 (d) 56,000, 28,000, 84,000
7. Alice puts Rs. 600 more in a business than Rex, but Rex has
invested his capital for 5 months while Alice has invested his
capital for 4 months. If the share of Alice is Rs. 48 more than that
of Rex out of the total profit of Rs. 528, find the capital
contributed by Alice?
,sfyl us jSDl ls 600 :i;s vf/kd O;kikj esa yxk;sA jSDl us viuh iwath
5 o"kZ ds fy, rFkk ,sfyl us 4 o"kZ ds fy, yxk;hA ;fn dqy 528 :i;s
ds ykHk esa ,sfyl dk fgLlk jSDl ls 48 :i;s vf/kd gS rks ,sfyl us
fdruh iwath fuos'k dh\
(a) 2000 (b) 2500 (c) 1500 (d) 1800
8. Hactor started a software business by investing Rs. 50,000. After
six months, Leo joined him with a capital of Rs. 80,000. After 3
years, they earned a profit of Rs. 24,500. What was ‘Hactor’ share
in the profit?
gSDVj us lkW¶Vos;j dk O;kikj 5000 #- yxkdj 'kq# fd;kA 6 eghus ckn
fy;ks us 80000 #- yxkdj O;kikj eas 'kkfey gks x;kA 3 o"kZ ckn 24500
#- dk ykHk gqvk rks gSDVj dk fgLlk crkvks?
(a) Rs. 9,423 (b) Rs. 10,250 (c) Rs. 12,500 (d) Rs. 10,500
9. In a partnership, A invests 1/6 of the capital for 1/6 of the time,
B invests 1/3 of the capital for 1/3 of the time and C, the rest of
the capital for the whole time. What is the share of B in the profit.
,d lk>k O;kikj esa A us dqy /ku dk 1/6 dqy le; ds 1/6 ds fy,] B
dqy /ku dk 1/3 dqy le; ds 1/3 le; ds fy,] C cpk gqvk /ku iwjs
le; ds fy, yxkrk gS rks B dk fgLlk Kkr djks\
(a) 4/23 (b) 2/3 (c) 4/5 (d) 3/6
10. Ram started a business investing Rs. 30000. Prateek joined the
business after sometime and invested Rs. 20000. At the end of the
year, profit was divided in the ratio of 2:1. After how many
months did Prateek joined the business?
jke us 30000 :i;s fuos'k djds ,d O;kikj izkjaHk fd;kA izrhd 20000
:i;s fuos'k djds dqN le; ckn O;kikj esa 'kkfey gks x;kA o"kZ ds var
esa gqvk ykHk 2 : 1 ds vuqikr esa ckaVk tkrk gSA izrhd fdrus eghuksa ckn
O;kikj esa 'kkfey gqvk\
(a) 9 (b) 4 (c) 3 (d) 5
Practice Exercise - 007
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11. James started a business and he invested in 38000, After some
month, Bond came to join with him and invest 28500. At the end
of the year the total profit was divided among them into ratio
form 16 : 8. Find after how many months did Rex join.
tSEl us 38000 #- yxkdj ,d O;olk; 'kq# fd;kA dqN eghuksa ckn
ckWUM us 28500 #- O;olk; esa fuos’k fd;kA ;fn lky ds var esa dqy
ykHk dks nksuksa ds chp 16 : 8 esa ckaVk x;kA jSDl esa fdrus eghus ckn
O;olk; esa fuos’k fd;k\
(a) 4 (b) 6 (c) 8 (d) 3
12. A and B started a business with initial investments in the ratio 5 :
7. If after one year their profits were in the ratio 1 : 2 and the period
for A’s investment was 7 months, B invested the money for
A o B us O;kikj 5 : 7 esa /ku yxkdj 'kq# fd;kA ;fn 1 lky ckn muds
ykHk dk vuqikr 1 : 2 gS A us 7 efgus ds fy, /ku yxk;k rks crkvks B us
fdrus efgus ds fy, /ku yxk;kA
(a) 6 months (b) 9 months (c) 10 months (d) 4 months
13. A starts business with Rs. 3500 and after 5 months. B joins A as
his partner. After a year, the profit is divided in the ratio 2 : 3.
What is B’s contribution in the capital?
A us 3500 :i;s ds lkFk O;kikj 'kq: fd;k rFkk 5 ekg ckn B us Hkh
O;kikj esa lk>k fd;kA ;fn o"kZ ds vUr esa mUgksus 2 : 3 ds vuqikr esa ykHk
izkIr gqvk rks B us fdruh jkf’k fuosf’kr dhA
(a) Rs. 8000 (b) Rs. 8500 (c) Rs. 9000 (d) Rs. 9200
14. A and B are partners in a business. They invest in the ratio 5 : 6.
At the end of 8 months A withdraws. If they receive profits in the
ratio of 5 : 9 find how long B’s investment was used?
A vkSj B us lk>snkjh esa ,d O;olk; fd;kA os nksuksa 5 : 6 ds vuqikr esa
fuos'k djrs gS vkSj 8 efgus ds ckn A us jkf'k fudky yhA os ykHk dks 5 : 6
ds vuqikr esa izkIr djrs gSA B us fdrus le; ds fy, lk>snkjh dh\
(a) 12 months (b) 10 months
(c) 15 months (d) 14 months
15. If Bond, Alice and Rex invested some money in partnership in the
ratio 6: 9:10. If the ratio of profit earned by them in the ratio 2: 3:
5, then find the ratio of time duration of their investments
ckWUM] ,fyl vkSj jSDl dqN /ku lk>snkjh esa 6 : 9 : 10 ds vuqikr esa
fuos'k djrs gSA ;fn muds }kjk dek;s x;s ykHk dk vuqikr 2 : 3 : 5 gS
mUgksaus fdrus le; varjky ds fy;s /ku fuos'k fd;k\
(a) 3: 2: 2 (b) 2: 3: 2 (c) 2: 2: 3 (d) 2: 1: 3
16. Three partners shared the profit in a business in the ratio 5 : 7 :
8. They had partnered for 14 months, 8 months and 7 months
respectively. What was the ratio of their investments?
rhu ikVZulZ ds ykHk dk vuqikr 5 : 7 : 8 mUgksaus iSlk yxk;k Øe’k% 14 ,
8, 7 eghus rdA muds }kjk yxk;s x;s /ku dk vuqikr crkvks\
(a) Rs. 5 : 7 : 8 (b) Rs. 20 : 49 : 64
(c) Rs. 38 : 28 : 21 (d) None of these
17. A, B and C are partners. A receives 2
5of the profits and B and C
share the remaining profit equally. A’s income is increased by Rs
220 when the profit rises from 8% to 10%. Find the capitals
invested by A, B and C.
A, B rFkk C lk>snkj gSA A, ykHk dk 2
5izkIr djrk gS rFkk B o C 'ks"k ykHk
dks cjkcj ckWVrs gSA A dh vk; 220 :i;s c<+ tkrh gS tc ykHk 8% ls
10% gks tkrk gSA A, B rFkk C }kjk fuosf'kr /ku Kkr djks\
(a) Rs. 11,000, Rs. 8250, Rs. 8250
(b) Rs. 11,000, Rs. 15500, Rs. 15500
(c) Rs. 8800, Rs. 6100, Rs. 6100
(d) None of these
18. P and Q started a business with Rs. 35000 and Rs. 20000
respectively. They agreed to share the profit in the ratio of their
capital. R joins the partnership with the condition that P, Q and R
will share profit equally and pays Rs . 220000 as premium for this
to be shared between P and Q. This is to be divided between P
and Q in the ratio of
P rFkk Q ,d O;kikj 35000 rFkk 20000 :- yxkdj 'kq: djrs gSA os
viuh iwath ds vuqikr esa ykHk ckaVus dk oknk djrs gSA R O;kikj esa 'kkfey
gksrk gSA bl 'krZ ij fd P, Q rFkk R cjkcj ykHk lka>k djsaxs vkSj P,Q ds
chp lk>k djus ds fy, izhfe;e ds :i esa 220000 :- dk Hkqxrku R
djrk gS rks ;g iwath P o Q esa fdl vuqikr esa ckaVh tk,xh\
(a) 10 : 1 (b) 1 : 10 (c) 9 : 10 (d) 10 : 9
19. A and B rent a pasture for 10 months; A puts in 80 cows for 7
months. How many can B put in for the remaining 3 months, if
he pays 3/2 times rent of A pays.
A o B ,d pkjkxkg 10 ekg ds fy, fdjk;s ij ysrs gS; A blesa 7 ekg
ds fy, 80 xk; j[krk gSA vxj B, A ls 1.5 xquk T;knk fdjk;k nsrk gS
rks og 'ks"k 3 ekg esa fdruh xk; j[k ldrk gSA
(a) 120 (b) 180 (c) 200 (d) 280
20. Three men rent a farm for Rs. 7,000 per annum. A puts 110 cows
in the farm for 3 months, B puts 110 cows for 6 months and C put
440 cows for 3 months. What percentage of the total expenditure
should A pay?
rhu vkneh : 7000 izfr o"kZ ij ,d pkjkxkg fdjk;s ij ysrs gSA A,
110 xk;s 3 ekg ds fy;s] B, 110 xk;s 6 ekg rFkk C 440 xk;s 3 ekg
pjkrk gSA rks A dqy fdjk;s dk fdruk izfr’kr pqdk;sxkA
(a) 20% (b) 14.28% (c) 16.66% (d) 11.01%
21. Bond and Alice have 24 cows and 30 cows respectively. Both of
them together hired a grazing field for the whole month of
November. Initially Bond’s cows used for grazing then for the
remaining days of the month Alice’s cows grazed it. If Bond has
paid Rs. 3500 and Alice has paid Rs. 5000 for grazing then for
how many days Bond used the grazing field:
ckW.M+ rFkk ,fyl ds ikl Øe’k% 24 xk; rFkk 30 xk; gS nksuks iwjs uoEcj
ekg esa xk;ks dks pjkus ds fy, ,d [ksr ysrs gS izkjaEHk esa ckW.M xk;s pjkrk
gS rFkk 'ks"k fnuksa esa ,sfyl] xk;ks dks pjkrh gSA ;fn ckW.M+ us 3500 :
rFkk ,fyl us 5000 : pjkus ds fy;s Hkqxrku fd;k rks ckW.M pjkus ds
fy;s [ksr dks fdrus fnuks ds fy;s mi;ksx ysrk gSA
(a) 14 (b) 16 (c) 21 (d) 20
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22. A is a working and B is a sleeping partner in a business. A put in
Rs. 5000 and B put in Rs. 6000. A receives 12.5% of the profit for
managing the business and the rest is divided in proportional to
their capital. What does A get out of a profit of Rs. 880?
fdlh O;kikj esa A lfØ; rFkk B fuf"Ø; lk>snkj gSA A 5000 :i;s rFkk
B 6000 :i;s yxkrk gSA A ykHk dk 12.5 izfr'kr O;kikj dks O;ofLFkr
djus ds fy, ysrk gSA rFkk 'ks"k muds }kjk yxk;h x;h jkf'k;ksa ds vuqikr
esa caV tkrk gSA ;fn dqy ykHk 880 :i;s gS rks A dk Hkkx gS\
(a) 420 (b) 440 (c) 460 (d) 480
23. Three persons A, B and C decided to run a business together. All
of them invested Rs. 20000, Rs.30000 and Rs. 60000
respectively. B is the CEO and he manages all the work. The other
two are sleeping partners. If B receives 3000 per month as a fixed
salary and the total profit made by all of them was Rs. 135000 in
one year, then what was B’s total share of the profit.
rhu O;fDr A, B rFkk C ,d O;kikj djus dk fu'p; djrs gSa os lHkh
Øe'k% 20000 :i;s] 30000 :i;s rFkk 60000 :i;s fuos'k djrs gSA
B, CEO gS vkSj og dke dks O;ofLFkr djrk gSA vU; nks fuf"Ø; lk>snkj
gs ;fn B 3000 :i;s izfr eghuk fuf'pr osru izkIr djrk gS rFkk mUgsa
dqy ykHk,d o"kZ esa 135000 :i;s gksrk gSA B dk ykHk esa dqy Hkkx
fdruk gS\
(a) 63000 (b) 59000 (c) 65000 (d) 72000
24. A and B started a business in partnership by investing Rs. 10000
and Rs. 4000 respectively. Condition of partnership is that B will
get Rs. 100 per month for management of the business. After
paying 5% interest on capital, annual profit has been distributed
in the ratio of their investment. Find the share of A’s profit if the
total profit is rupees 4000.
A rFkk B Øe'k% 10000 rFkk 4000 :i;s fuos'k dh lk>snkjh djds ,d
O;kikj izkjaHk djrs gSA O;kikj dh 'krZ ds vuqlkj B O;kikj dks O;ofLFkr
djus ds dkj.k 100 :i;s izfr eghuk ysrk gSA fuos'k dh jkf'k ij 5
izfr'kr R;kx nsus ds ckn ykHk dks fuos'k dh x;h jkf'k ds vuqikr esa ckaV
fy;k tkrk gSA ;fn dqy ykHk 4000 :i;s dk gqvk rks A dk ykHk esa
fgLlk gS\
(a) 3000 (b) 2500 (c) 1500 (d) 2000
25. A, B and C jointly thought of engaging themselves in a business
venture. It was agreed that A would invest Rs.6500 for 6 months,
B, Rs.8400 for 5 months and C, Rs.10, 000 for 3 months. A wants
to be the working member for which he was to receive 5% of the
profits. The profit earned was Rs.7400. Calculate the share of B in
the profit.
A, B o C ,d lkFk feydj ,d O;kikj vkjaHk djus dk lksprs gSA ;g
fuf’pr fd;k tkrk gS fd A , 6 ekg ds fy, 6500: ,B, 5 ekg ds fy,
8400: rFkk C, 3 ekg ds fy, 10000: yxk;sxkA A dk;Zdkjh lnL;
cuuk pkgrk gS, ftlds fy, mls ykHk dk 5% feyrk gSA vftZr ykHk
7400: gSA ykHk esa B ds fgLls dh x.kuk djksA
(a) Rs.1900 (b) Rs.2660 (c) Rs.2800 (d) Rs. 2840
Answer Key 1 a 2 b 3 d 4 d 5 c 6 b 7 d 8 d 9 a 10 a 11 a 12 c 13 c 14 c 15 c 16 b 17 a 18 a 19 d 20 b 21 a 22 c 23 a 24 c 25 b
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1. Ajay and Dinesh have invested in their business the capital of
80,000 and 30,000 respectively. What is their ratio of profit?
vt; rFkk fnus'k us vius O;olk; esa Øe'k% 80]000 rFkk 30]000
:i;s dk fuos'k fd;kA muds ykHk dk vuqikr Kkr djks\
(a) 8 : 3 (b) 5 : 6 (c) 9 : 5 (d) 8 : 5
2. Three partners A, B and C invest Rs. 1600, Rs. 1800 and Rs. 2300
respectively in a business. How should they divide a profit of Rs. 399?
rhu nksLr A, B vkSj C us Øe'k% 1600 :i;s] 1800 :i;s rFkk 2300
:i;s yxkdj O;kikj 'kq: fd;kA 399 :i;s ds ykHk dks mUgsa fdl
izdkj ckaVuk pkfg;s\
(a) 106, 109, 184 (b) 121, 114, 164
(c) 126, 112, 161 (d) 112, 126, 161
3. Ballu start a business with Rs. 50,000. Sallu joins him after 3
months and invests Rs. 75,000. At the end of the year they make
a profit of Rs. 51,000. What is the share of Ballu in the profit?
cYyw us 50000 :i;s yxk ,d O;kikj 'kq: fd;kA 3 eghus ckn lYyw
us 75,000 :i;s yxk O;kikj lk>k dj fy;kA o"kZ ds var esa 51,000
:Ik;s dk ykHk dek;kA ykHk esa fcYyw dk fgLlk Kkr djks\
(a) 16000 (b) 24000 (c) 20000 (d) 27000
4. In a business Hiren, Dinu and Marvadi, invested capital in the
ratio 3 : 3 : 6. Find the difference in the share of profit of Hiren
and Marvadi in a total profit of Rs. 10,000.
,d lk>snkjh esa fgjsu] nhuw rFkk ekjokM+h us 3 : 3 : 6 esa fuos'k fd;kA
10,000 ds dqy ykHk esa fgjsu rFkk ekjokM+h ds ykHk ds fgLls dk varj
Kkr djks\
(a) Rs. 2500 (b) Rs. 5000 (c) Rs. 2000 (d) Rs. 4000
5. Amber and Amit start a business and invest Rs. 65,000 and Rs.
1,25,000. Amber had to leave the business after 10 months.
What is the ratio in which they should share the profit at the
end of the year?
vEcj rFkk vfer us Øe'k% 65000 rFkk 1,25,000 :i;s ls O;kikj
'kq: fd;kA vEcj dks 10 eghus ckn O;kikj NksM+uk iM+kA muds lky
ds var dk ykHk dk vuqikr Kkr djks\
(a) 13 : 30 (b) 30 : 13 (c) 11 : 29 (d) 5 : 6
6. Two persons A and B invested in a business with 115000 and
75000 rupees respectively. They agree that 40% of the profit
should be divided equally among them and rest is divided
between them according to their investment. If A got 500 rupee
more than B, then the total profit is.
nks O;fDr A o B ,d O;kikj esa 115000 rFkk 75000 :i;s iawth yxkrs
gS oks 40% ykHk vkil esa cjkcj ckaVrs gS 'ks"k ykHk iwath ds vuqikr esa
ckaVrs gSA ;fn A dks 500 :i;s T;knk feyrs gS rks B dk dqy ykHk
crkvks\
(a) 3599.34 (b) 3699.34 (c) 3958.34 (d) 3999.34
7. In business, James and Bond invested amounts in the ratio 4 :
2, whereas the ratio between amounts invested by James and
Neal was 6 : 4, If Rs. 314600 was their profit, how much amount
did Neal receive?
,d O;kikj esa tSel vkSj ckWUM 4 : 2 ds vuqikr eas o tSEl o uhy 6 :
4 ds vuqikr esa /ku yxkrs gS] ;fn 314600 #- dk ykHk gksrk gS uhy
dks fdruk /ku feyk ?
(a) Rs. 88000 (b) Rs. 98000 (c) Rs. 94400 (d) Rs. 96800
8. A company make a profit of Rs. 9,00,000, 20% of which is paid as
taxes. If the rest is divided among the partners P, Q and R in the ratio
of 1 : 1 1
2 : 2, then the shares of P,Q and R are respectively.
,d dEiuh 900000 :- dk ykHk dekrh gS ftlds ls 20% VsDl ds
:i esa nsrh gSA ;fn 'ks"k ykHk lk>snkj P,Q rFkk R ds e/; 1 : 1
12 : 2
vuqikr esa ckaVk tkrk gS rks P,Q rFkk R dks fgLlk Øe’k% gS
(a) 2,40,000 ; 3,20,000; 1, 60,000
(b) 3,20.000; 2,40,000; 1,60,000
(c) 1,60,000; 3,20,000; 2,40,000
(d) 1,60,000; 2,40,000; 3,20,000
9. A, B and C started a business with a total investment of
Rs.72000. A invests Rs. 6000 more than B and B invests
Rs.3000 less than C. If the total profit at the end of a years is Rs.
8640, find A’s share.
A, B o C dqy 72000 : ds fuos’k ds lkFk ,d O;kikj vkjEHk djrs gSA A,
B ls 6000 : vf/kd rFkk B, C ls 3000 : de fuos’k djrk gSA ;fn ,d
o"kZ ds var esa dqy ykHk 8640 : gS, rks A dk fgLlk Kkr djksA
(a) Rs.3240 (b) Rs.2520 (c) Rs.2880 (d) Rs. 3360
10. Hiren, Vijay and Dharmesh enter into a partnership. Hiren
advances Rs. 1200 for 4 months, Vijay gives Rs. 1400 for 8
months and Dharmesh Rs. 1000 for 10 months. They gain Rs.
585 altogether. Find the share of profit of each.
fgjsu] fot; rFkk /kesZ'k us ,d lk>k 'kq: fd;kA fgjsu us 4 eghus ds
fy;s 1200 :i;s fn;sA fot; 1400 :i;s 8 eghus ds fy, rFkk /kesZ'k
us 10 eghus ds fy, 1000 :i;s fn;sA mUgksus 585 :i;s dk ykHk
izkIr fd;s] izR;sd dk fgLlk crkvks\
(a) 252, 108, 225 (b) 108, 252, 225
(c) 108, 225, 252 (d) 225, 252, 108
11. Three men A, B and C subscribe Rs. 4700 for a business. A
subscribes Rs. 700 more than B and B Rs. 500 more than C. How
much will each receive out of a profit of Rs. 423?
A, B rFkk C ,d O;kikj ds fy, 4700 :- dk fuos’k djrs gSA A B ls
700 :- vf/kd rFkk B C ls 500 :- vf/kd fuos’k djrk gSA 423 :- ykHk
ls izR;sd dks fdrus :- feysxsa\
(a) 198, 90, 135 (b) 135, 198, 90
(c) 90, 135, 198 (d) 198, 135, 90
Level - 1 Exercise - 1
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12. A began business with Rs. 4200 and is joined by B afterwards
with Rs. 7200. When did B join if the profits at the end of the
year are divided equally?
A us ,d O;kikjk 'kq: fd;k ftlesa 4200 :i;s fuos'k fd;sA dqN fnuksa
ckn B us O;kikj lk>k fd;k rFkk 7200 :i;s fuos'k fd;sA ;fn ykHk
dks nksuks esa cjkcj ckaVk x;k gks rks B us O;kikj dc lk>k fd;k\
(a) 7 (b) 5 (c) 8 (d) 4
13. A, B and C start a business by investing Rs. 2000, Rs. 3000 and Rs.
4000 respectively. But B increases his investment to Rs. 4000 after
4 months and C withdraws Rs. 1000 at the end of 9 months. What
is A’ share out of a total profit of Rs. 8475 earned in a year?
A, B rFkk C us Øe'k% 2000 :i;s] 3000 :i;s rFkk 4000 :i;s ls
O;kikj 'kq: fd;kA 4 eghus ckn B us viuk fuos'k 4000 :i;s dj
fn;k rFkk C us 9 eghus ckn 1000 :i;s fudky fy;sA lky ds var esa
8475 :i;s dk ykHk gqvk rks A dk fgLlk Kkr djks\
(a) 1854 (b) 1624 (c) 1925 (d) 1800
14. Three bachelors, Amar, Akbar and Anthony rented a house for
a year. But, Amar left after 4 months, Akbar stayed for 8 months
and only Anthony stayed for the entire year. If the annual rent
was Rs. 6000, find the share of Akbar.
rhu yM+ds vej] vdcj vkSj ,UFkksuh us ,d ?kj fdjk;s ij fy;kA vej us
4 eghus ckn ?kj NksM+ fn;k] vdcj 8 eghus :dk rFkk ,UFkksuh iwjs lky rd
jgkA ;fn okf"kZd fdjk;k 6000 :i;s gks rks vdcj dk fgLlk Kkr djks\
(a) Rs. 4000 (b) Rs. 2000
(c) Rs. 3000 (d) Rs. 2500
15. A and B started a business with Rs. 7700 and 11,000
respectively. A stayed for the entire time. If at the end of the
year they shared their profit in the ratio of 14 : 15, then for how
many months was B’s capital in the business?
A vkSj B us Øe'k% 7700 :i;s vkSj 11000 :i;s ls ,d O;olk; 'kq:
fd;kA A iwjs lky jgkA ;fn o"kZ ds var esa muds ykHk dk 'ks;j 14 :
15 esa gSA rks fdrus le; ds fy;s B dh iawth O;olk; esa Fkh\
(a) 7 months (b) 6 months
(c) 9 months (d) 8 months
(e) None of these
16. In a partnership between Ajay, Vinit and Tinu, Ajay invests Rs.
2000. If in a profit of Rs. 1600, Ajay’s share is Rs. 400 and Tinu’s
share is Rs. 200, then the amount invested by Vinit is :
vt;] fouhr rFkk Vhuw dh lk>snkjh esa vt; us 2000 :i;s fuos'k
fd;sA ykHk ds 1600 :i;s esa vt; dk fgLlk 400 :i;s rFkk Vhuw
dk fgLlk 200 :i;s gks rks fouhr ds }kjk yxkbZ xbZ iwath Kkr djks\
(a) Rs. 3000 (b) Rs. 5000
(c) Rs. 6000 (d) Rs. 6500
17. A and B started a business by investing money in the ratio of 2
: 3 respectively. If A had invested an additional amount of Rs.
10000, the ratio of A’s investment to B’s investment would have
been 3 : 2. What was the amount invested by A?
A vkSj B us Øe'k% 2 : 3 ds vuqikr esa jkf'k fuos'k dhA ;fn A us ,d
vfrfjDr jkf'k 10]000 :i;s fuos'k dh gksrh rks A vkSj B ds fuos'k dk
vuqikr 3 : 2 gksrkA A ds }kjk fdruh jkf'k fuos'k dh xbZ\
(a) Rs. 6500 (b) Rs. 8000 (c) Rs. 7000
d) Rs. 8200 (e) None of these
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18. P, Q and R invest Rs. 3000, Rs. 2500 and Rs. 4000 for 8, 10 and
12 months respectively. If the total profit at the end of the year
was Rs. 9700, then what is Q’s share of the profit?
P, Q vkSj R Øe'k% 8] 10 vkSj 12 eghuksa ds fy;s 3000] 2500 vkSj
4000 dk fuos'k djrs gSA ;fn o"kZ ds var esa dqy ykHk 9700 :i;s
Fkk] rks Q dk ykHk dk fgLlk D;k gS\
(a) Rs. 3200 (b) Rs. 2500 (c) Rs. 2600
(d) Rs. 2400 (e) None of these
19. Atul started a business with Rs. 6500. After four months his
friend Balraj joined him within certain capital. If at the end of
the year the profits were divided in the ratio of 5 : 2, then how
much did Balraj invest?
vrqy us 6500 :i;s ds lkFk ,d O;olk; 'kq: fd;kA pkj eghus ckn
mldk nksLr cyjkt dqy fuf'pr iawth ds lkFk tqM+ x;kA ;fn o"kZ ds
var esa ykHk 5 : 2 ds vuqikr esa foHkkftr fd;k x;k Fkk] rks cyjkt us
fdruk fuos'k fd;k Fkk\
(a) Rs. 4200 (b) Rs. 3900 (c) Rs. 3800
(d) Rs. 3950 (e) Rs. 3850
20. Three friends P, Q and R started a business with investments of
Rs. 400, Rs. 400 and Rs. 800 respectively. After four months Q
took back Rs. 200 and P added Rs. 200 more. If the total profit
at the end of the year was Rs. 900, then what was the profit
share of all three friend?
rhu nksLrks P, Q vkSj R us Øe'k% 400, 400 vkSj 800 :i;s dk
O;kolkf;d fuos'k 'kq: fd;kA pkj eghus ds ckn Q us 200 :i;s okil
ys fy;s vkSj P us 200 :i;s vkSj tksM+sA ;fn o"kZ ds var esa dqy ykHk
900 :i;s Fkk rks rhuksa fe=ksa dk ykHk dk fgLlk D;k Fkk\
(a) Rs. (300, 150, 450) (b) Rs. (300, 200, 400)
(c) Rs. (250, 200, 450) (d) Rs. (200, 200, 500)
(e) None of these
21. A and B enter into a partnership. A puts in Rs. 2000 but at the
end of 3 months, withdraws Rs. 500 and again at the end of 8
months withdraws Rs. 300. Out of a total profit of Rs. 900 at the
end of the year, B’s share was Rs. 400. Find B’s capital.
A rFkk B ,d lk>snkjh 'kq: djrs gSA A 2000 :- dk fuos’k djrk gS
ysfdu 3 eghus ds var esa 500 :- fudky ysrk gS rFkk 8 eghus ds var esa
300 : vkSj fudky ysrk gSA 900 :- ds dqy ykHk esa B dk fgLlk 400
gS rks B dh iwath Kkr djksA
22. Anuradha and Bhargav invest money in a business in the ratio
4 : 3 for 6 months and 8 months respectively. If the return on
investment is 15% and Anuradha gets Rs. 2700, then what was
the investment?
vuqjk/kk vkSj HkkxZo 4 : 3 ds vuqikr esa Øe'k% 6 eghus vkSj 8 eghus ds
fy;s dkjksckj esa iSlk yxkrs gSA ;fn fuos'k ij fjVuZ 15% gS vkSj
vuqjk/kk dks 2700 :i;s feyrs gS rks fuos'k D;k Fkk\
(a) Rs. 36000 (b) Rs. 42000 (c) Rs. 32000
(d) Rs. 41200 (e) Rs. 30000
23. If A and B start a business by investing 9000 and 4000
respectively. If A invests for 6 months and B invests for 12
months. If profit earned at the end of year is 5100, then find the
profit earned by A.
;fn A rFkk B us Øe'k% 9000 rFkk 4000 fuos'k djds O;kikj izkjaHk
fd;kA ;fn A us 6 eghus ds fy, rFkk B us 12 eghus ds fy, fuos'k
fd;k ;fn o"kZ ds var esa 5100 :- ykHk dek;k rks A us fdruk ykHk
dek;k\
(a) 2600 (b) 2700 (c) 3000 (d) 3500
24. Bhanu and Raghu, two nomadic cattle owners have 45 and 75
buffalos respectively. They rent the grasslands that belong to
Shambhunath for a period of 6 months and agree to pay him Rs.
10,500 per month. Bhanu uses the grassland for 5 months while
Raghu puts in his cattle for 4 months. What are their shares in
the total payment to Shambhunath?
Hkkuq rFkk j?kq ds ikl 45 rFkk 75 HkSals gSA mUgksus 'kaHkqukFk ls ,d ?kkl
dk eSnku 6 eghus ds fy, fdjk;s ij fy;k rFkk izR;sd eghus 10,500
:i;s nssus dk oknk fd;kA Hkkuq us ?kkl dk eSnku 5 eghus ds fy;s rFkk
j?kq us 4 eghus ds fy;s mi;ksx fd;kA 'kaHkqukFk ds fgLls ds :i;s ls
nksuks dk fgLlk Kkr djks\
(a) 27000, 36000 (b) 30000, 33000
(c) 25000, 38000 (d) 36000, 45000
25. Three shepherds A, B and C rented a pasture for a year. A
grazed 22 sheep for 4 months, B grazed 16 sheep for 8 months
and C grazed 32 sheep for 6 months. If C’s share of rent is Rs.
600, the total rent for the year was :
rhu xMfj;s A, B rFkk C ,d pkjkxkg fdjk;s ij ysrs gSA A, 22 HksM+s 4
eghus ds fy;s pjkrk gSA B, 8 eghus esa 16 HksM+s pjkrk gS rFkk C, 6
eghus esa 32 HksM+s pjkrk gSA ;fn C ds fgLls dk fdjk;k 600 :i;s gksA
lky dk dqy fdjk;k Kkr djks\
(a) Rs. 3550 (b) Rs. 2000
(c) Rs. 1275 (d) Rs. 675
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Solutions
Answer Key 1 a 2 d 3 b 4 a 5 a 6 c 7 d 8 d 9 a 10 b 11 d 12 b 13 d 14 b 15 c 16 b 17 b 18 b 19 b 20 a 21 c 22 a 23 b 24 a 25 c
1. (a)
Classical Approach:
The ratio of their profit will be = 80,000 : 30,000 = 8 : 3
(Ratio of Profit/Loss)
2. (d)
Classical Approach:
A : B : C = 16 : 18 : 23
A's share =16
57× 399 = 112
B's share = 18
57× 399 = 126
C's share = 23
57× 399 = 161
3. (b)
Classical Approach:
The profit is shared in the ratio of the product of the investment
and the duration of the investment.
The ratio of the investments is 2 : 3 while the ratio of the
durations is 4 : 3.
Hence the ratio of the required products is 2 × 4 : 3 × 3 = 8 : 9.
Hence Ballu's share in the profit is 8
17of total profit
i.e.
8
17 × 51,000 = Rs. 24,000
4. (a)
Classical Approach:
Hiren : Dinu : Marwadi = 3 : 3 : 6 = 1 : 1 : 2
Difference of profit of Hiren & Marwadi = 1
4× 10000 = 2500
5. (a)
Classical Approach:
The ratio is (65,000 × 10) : (1,25,000 × 12) = 13 : 30.
6. (c)
Classical Approach:
Their profit ratio A : B = 115000 × 12 : 75000 × 12
23 : 15
Let, total profit = x
Hence, x × 60
100×
8
38 = 500 x = 3958.3412.
7. (d)
Classical Approach:
Amount invested
James : Bond 4 : 2 = 2 : 1
James : Neal = 6 : 4 = 3 : 2
Neal : James : Bond
2 : 1
2 : 3
4 : 6 : 3
Ratio of their amount invested = 4 : 6 : 3
As we know that for the same time ratio of amount invested and
ratio of profit is same
Given total profit = 314600
Neal's share = 314600
13× 4 = 24200 × 4 = Rs. 96800
8. (d)
Classical Approach:
Profit for distribution = 900000× =80
720000100
P : Q : R
Profit Ratio → 1 : 3
2 : 2
2 : 3 : 4
Profit of P = =2
720000 1600009
Profit of Q = =3
720000 2400009
Profit of R = =4
720000 3200009
❖ Neon Approach (Thought Process):
Share of C will be multiple of 23
Since total of ratio = 57
Option (c) and (d) satisfy but share of B will be more than A.
Hence, option (d) is correct.
❖ Neon Approach (Thought Process):
CPR
Amber Amit
Ratio of Investment 65 125
13 : 25
Amber left 2 months before i.e. he gave 1/6 less time
So, Amit will take 1/5 more profit
Ratio of Amit will change 1/525 30+⎯⎯→
New ratio = 25 : 30
❖ Neon Approach (Thought Process):
P : Q : R = 2 : 3 : 4
Only option (d) is in ratio 2 : 3 : 4
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9. (a)
Classical Approach:
Let Investment of C = X Rs.
Investment of B = X – 3000 Rs.
Investment of A = X + 3000 Rs.
According to the question
X + X – 3000 + X + 3000 = 72000 X = 24000
A =X + 3000 = 24000 + 3000 = 27000
B =X – 3000 = 24000 – 3000 = 21000
C =X = 24000
A B C
Profit Ratio → 27000 21000 24000
9 7 8
Profit of A = =9
8640 324024
Rs.
10. (b)
Classical Approach:
Classical Approach:
Hiren : Vijay : Dharmesh = 12×4 : 14×8 : 10×10
= 12 : 28 : 25
Profit of Hiren = 12
65× 585 = 108
Profit of Vijay = 28
65× 585 = 252
Profit of Dharmesh = 25
65× 585 = 225
11. (d)
Classical Approach:
If C subscribes Rs. x, then,
B subscribes Rs. (x + 500) and A subscribes Rs. (x + 1200)
∴ 3x + 1700 = 4700; ∴ x = Rs. 1000
∴ Ratio of profits of C, B and A=1000 : 1500 : 2200 i.e. 10:15:22
∴ C’s share of profit =10
47× 423 = Rs. 90
∴ B’s share of profit =15
47× 423 = Rs. 135
∴ A’s share of profit =22
47× 423 = Rs. 198
12. (b)
Classical Approach:
Let B invested his capital for x months
A : B = 42×12 : 72×x
Ratio of profit = 1 : 1
42 × 12 = 72 × x
x = 7 months
So B joined after 12 - 7 = 5 months
13. (d)
Classical Approach:
A : B : C = 2×12 : 3×4+4×8 : 4×9+3×3 = 24 : 44 : 45
A's share =24
113× 8475 = 1800
14. (b)
Classical Approach:
Amar : Akbar : Anthony = 4 : 8 : 12 = 1 : 2 : 3
Akbar's share = 2
6× 6000 = 2000
15. (c)
Classical Approach:
A B
Investment 7 10
Time 12 n
Profit 84 10n
Now =84 14
10 15n
∴ n = 9
∴ B capital was in Business for 9 months.
16. (b)
Classical Approach:
Ajay : Tina : Vinit = 400 : 200 : (1600 - 600) = 2 : 1 : 5
Applying Aryan's ratio = =2 5
2000 x⇒ x = 5000
❖ Neon Approach (Thought Process):
Hiren : Vijay : Dharmesh = 12 : 28 : 25
from here we can conclude that profit of Hiren will be lowest & that of Vijay will be highest and Dharmesh will lie between these two only option (b) is in that order.
❖ Neon Approach (Thought Process):
B invested 500 more than C and A invested 500 + 700 =
1200 more than C. So, if we subtract 1200 + 500 = 1700
from 4700 we get 3000. This amount will be distributed
equally among three. So, each will get 1000.
A : B : C = 2200 : 1500 : 1000 = 22 : 15 : 10
Only option (d) is in decreasing order.
❖ Neon Approach (Thought Process):
A : B
Investment 42 : 72
Time 7 : 12
Profit 12 : So, here 7 should
come
1 : 1
B joined for 7 months i.e. he joined after 5 months.
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17. (b)
Classical Approach:
Ratio of their initial investment: =2
3
A
B
Let the initial investment of A and B be 2x and 3x respectively.
So +
=2 10000 3
3 2
x
x
So, 4x + 20000 = 9x or, 5x = 20000 or, x = 4000
∴ 2x = 8000
∴ amount invested by A = Rs. 8000.
18. (b)
Classical Approach:
P Q R
Amount 3000 2500 4000
Time 8 10 12
Profit 24 25 48
∴ Q should receive
+ +
9700
24 25 48× 25 = Rs. 2500.
19. (b)
Classical Approach:
Atul invested Rs. 6500 for 12 months
Suppose Balraj invested Rs. x for 8 months
∴
=
6500 12 5
8 2x x = 3900
So Balraj invested Rs. 3900.
20. (a)
Classical Approach:
P : 400 × 12 + 200 × 8 = Rs. 6400
Q = 400 × 4 + 200 × 8 = Rs. 3200
R = 800 × 12 = Rs. 9600
Ratio = 64 : 32 : 96 = 2 : 1 : 3
∴ P's share = 900
6× 2 = Rs. 300
Q's share = 900
6× 1 = Rs. 150
R's share = 900
6× 3 = Rs. 450.
21. (c)
Classical Approach:
Ratio of profits = (A’s Rs. 2000 for 3 months) + (A’s Rs. 1500 for
5 months) + (A’s Rs. 1200 for 4 months) : (B’s capital x for 12
months) = (6000 + 7500 + 4800) : 12x = =18300 500
12 400x;
` ∴ =1525 5
4x, ∴ x = Rs. 1220
22. (a)
Classical Approach:
Money is invested in the ratio of 4 : 3 and duration is 6 months
& 8 months respectively.
∴ The profits should be divided in the ratio of
4 × 6 : 3 × 8 ⇒ 24 : 24 = 1 : 1.
Thus total profit is 2700 × 2 = 5400
They shared profit equally so, total profit = 5400
The return on investment is 15%, thus the
investment is 5400
15× 100 = 36000
23. (b)
A : B
Profit 9000 × 6 : 4000 × 12
9 : 8
So, total profit 9 + 8 = 17⟶ 5100
Profit earned by A = 5100
17× 9 = 2700
24. (a)
Classical Approach:
The ratio of shares of Bhanu and Raghu is 45 × 5 : 75 × 4 = 3 : 4.
Hence they should pay 3
7th and
4
7th of the total amount.
Thus Bhanu should pay Rs. 10,500 × 6 ×
3
7 = Rs. 27000 and
Ragh`u should pay Rs. 10,500 × 6 ×
4
7 = Rs. 36,000
25. (c)
Classical Approach:
A : B : C = 22×4 : 16×8 : 32×6 = 11 : 16 : 24
Applying Aryan's ratio = =24 51
600 x⇒ x = 1275
❖ Neon Approach (Thought Process):
Here B has not changed his investment
So, B's ratio will remain same
A : B
Previous ratio 2 : 3
New ratio 3 : 2
Making B equal
A : B
Previous ratio 4 : 6
New ratio 1 : 6
A has added 5 units = 10,000
1 unit = 2000
Previous investment of A = 4 × 2000 = 8000/-
❖ Neon Approach (Thought Process):
A invested for 50% less time
So, A's share will decrease by 50%
A B
Earlier ratio 9 : 4
New ratio 4.5 : 4
A : B = 9 : 8
So, share of A will be a multiple of 9. only option (b) satisfies.
❖ Neon Approach (Thought Process):
C = 24, A + B + C = 51
So, total rent will be slightly more than double the share
of C
Only option (c) satisfies.
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1. A and B put in Rs. 300 and Rs. 400 respectively into a business. A
reinvests into the business his share of the first year’s profit of
Rs. 210 where as B does not. In what ratio should they divide the
second year’s profit?
A rFkk B ,d O;kikj eas Øe’k% 300 rFkk 400 :- yxkrs gSA igys lky
dk ykHk 210 :- gSA A O;kikj eas iqu% iwath yxkrk gS] ftruk mls izFke
o"kZ ykHk gqvk Fkk tcfd B ugha yxkrk 2 lky ds var esa mudk ykHk fdl
vuqikr esa foHkkftr gksxk\
(a) 39 : 40 (b) 40 : 39 (c) 3 : 4 (d) 4 : 3
2. A, B and C enter into a partnership and their shares are in the
ratio 1/2: 1/3 :1/4. After 2 months, A withdraws half of his
capital and after 10 months, a profit of Rs. 378 is divided among
them. What is B’s share?
A, B o C Lkk>k izkjaHk djrs gS] o A /ku dk B /ku dk o c /ku dk
yxkrk gS] 2 eghus ckn A viuk vk/kk /ku fudky ysrk gS] vkSj 10 eghus ckn
378 #- ds ykHk dks rhuksa ds chp ckaVk tkrk gS] rc B dk fgLlk D;k gS?
(a) 142.8 (b) 169 (c) 225 (d) 339
3. A and B start a business with investments of Rs.5000 and Rs.4500
respectively. After 4 months, A takes out half of his capital. After
two more months, B takes out one third of his capital while C joins
them with a capital of Rs. 7000. At the end of a year, they earn a
profit of Rs.5080.Find the share of each member in the profit.
A o B Øe’k% 5000: o 4500: fuos’k djds ,d O;olk; vkjaHk djrs
gSA 4 ekg i'pkr A viuh vk/kh iwath okil fudky ysrk gSA nks vkSj ekg
i'pkr B viuh iwath dk ,d frgkbZ Hkkx fudky ysrk gS tcfd C, 7000:
dh iwath ds lkFk ’kkfey gks tkrk gSA ,d o"kZ ds var esa, mudks 5080 :
dk ykHk gksrk gSA ykHk esa izR;sd dk fgLlk Kkr djksA
(a) A –Rs.1400, B – Rs.1900, C – Rs.1780
(b) A –Rs.1600, B – Rs.1800, C – Rs.1680
(c) A –Rs.1800, B – Rs.1500, C – Rs.1780
(d) A –Rs.1680, B – Rs.1600, C – Rs.1800
4. Hutch and Essar entered into a partnership just 5 months ago.
The ratio of profit claimed by Hutch and Essar is 6:17. If Essar
had just started his business 12 months ago With Rs. 1275, what
is the amount contributed by Hutch?
gp vkSj bZlj 5 ekg iwoZ ,d lk>snkjh izkjEHk djrs gS gp vkSj bZlj ds
ykHk dk vuqikr 6 : 17 gS ;fn bZlj us 12 ekg iwoZ viuk O;kikj 1275 ls
'kq: fd;k Fkk rks gp }kjk yxkbZ xbZ jkf'k Kkr dhft,
(a) Rs. 980 (b) Rs. 1080 (c) Rs. 1200 (d) Rs. 998
5. A started a business with a capital of Rs.5000. Three months
later, B joined with a capital of Rs.7000. After another 3 months,
A invested Rs.1000 more while B withdrew Rs.2000. Two
months later, C joined with a capital of Rs.5000. In what ratio
should the profit get divided at the end of the year?
A 5000 : dh /kujkf’k ds lkFk ,d O;olk; vkjaHk djrk gSA rhu ekg
ckn B, 7000 : dh /kujkf’k ds lkFk ’kkfey gks tkrk gSA mlds vxys
3 eghuksa ds ckn, A, 1000 : vkSj fuos’k djrk gS tcfd B, 2000 :
fudky ysrk gSA nks ekg ckn C, 5000 : dh /kujkf’k ds lkFk ’kkfey gks
tkrk gSA o"kZ ds var esa ykHk fdl vuqikr esaa ckaVk tk;sxk?
(a) 22:4:17 (b) 22:17:4 (c) 22:17:8 (d) 66:51:20
6. A, B and C started a business. A invests 1/2 capital for 1/4 time, B
invests 1/8 capital for 1/2 time and C invests the remaining capital
for whole time. Find the share of B in the total profit of Rs.9900.
A, B o C ,d O;olk; vkjaHk djrs gSA A dqy iWwth dk 1/2 Hkkx 1/4 le;
ds fy,] B dqy iw¡th dk 1/8 Hkkx 1/2 le; ds fy, rFkk C, ’ks"k iwath iwjs
le; ds fy, yxkrk gSA dqy 9900: ds ykHk esa ls B dk fgLlk Kkr djksA
(a) Rs.2200 (b) Rs. 1100 (c) Rs.6600 (d) Rs. 4400
7. James and Bond started a business by investing Rs. 1750 and Rs.
2100 respectively. 5 months later, Bond withdrew her entire
money and Alice and Rex joined the business with investments of
Rs. 4000 and Rs. 6500 respectively. If after a year difference in
total shares of Alice and Rex together and total shares of James
and Bond together is Rs. 6,720, Find the total profit.
tsEl o ckWUM 1750 o 2100 :i;s yxkdj O;kikj 'kq: djrs gSA 5 efgus
ckn ckWUM viuk lkjk /ku fudyok ysrh gSA rFkk ,sfyl vkSj jsDl O;kikj es
tqM+ tkrh gS Øe’k% 4000 vkSj 6500 :i;s yxkdjA ,d o"kZ ckn ,sfyl o
jsDl ds ykHk rFkk dqy ykHk dk varj 6720 :i;s gS rks dqy ykHk crkvksA
(a) Rs. 16,900 (b) Rs. 16,800
(c) Rs. 15,100 (d) Rs. 15,300
8. Ram, Shyam, Bharat and Shatrughan invested their capitals in the
ratio of 6 : 5 : 3 : 1 respectively for different periods. At the end
of their period of investment, they get their share of profit in the
ratio of 1 : 3 : 5 : 6 respectively. What is the ratio of the periods of
their investment?
jke] ';ke] Hkjr vkSj 'k=q?u us Øe'k% 6 : 5 : 3 : 1 ds vuqikr esa mudh
jkf'k fuos'k dhA muds fuos'k ds varjky ds var ij mudk ykHk 'ks;j
Øe'k% 1 : 3 : 5 : 6 ds vuqikr esa izkIr djrs gSA muds fuos'k ds le;
varjky dk vuqikr Kkr djks\
(a) 7 : 21 : 65 : 180 (b) 5 : 18 : 50 : 180
(c) 6 : 19 : 71 : 193 (d) Can’t be determined
(e) None of these
9. Avinash, Binny and Chirag enter into a partnership by investing
Rs. 1100, Rs. 1300 and Rs. 1700 respectively. After a few months
an additional capital of Rs. 500 is needed and Binny brought this
amount. After 12 months there was a profit of Rs. 2527. If
Avinash’s share of profit was Rs. 627, then find after how many
months Binny invested an additional amount.
vfouk'k] fcUuh vkSj fpjkx us 1100 :i;s] 1300 :i;s vkSj 1700 :i;s
fuos'k djds ,d lk>snkjh 'kq: dhA dqN eghus ckn ,d vfrfjDr jde
1
2
1
3
1
4
Exercise - 2 Level - 2
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500 :i;s dh vko';drk iM+h vkSj fcUuh us ;g jde tqVkbZA 12 eghus
ckn 2527 :i;s dk ykHk gqvkA ;fn vfouk'k dk ykHk dk 'ks;j 627 :i;s
Fkk rks crkvksa fcUuh us fdrus le; ckn vfrfjDr jde fuos'k dh FkhA
(a) 4 months (b) 5 months (c) 3 months (d) 6 months
(e) 7 months
10. P, Q and R enter into a partnership. Their capital contribution is
in the ratio 7 : 9 : 14. At the end of the business term they profits
in the ratio of 5 : 4 : 9. Find the ratio of the time for which they
invest their capitals.
P, Q vkSj R us ,d lk>snkjh 'kq: dhA mudk iwath forj.k 7 : 9 : 14 gSA
O;kikj ds var ij muds ykHk dk vuqikr 5 : 4 : 9 FkkA muds }kjk fuos'k
ds fy;s fd;s x;s le; dk vuqikr Kkr djks\
(a) 315 : 112 : 162 (b) 81 : 16 : 90
(c) 56 : 81 : 90 (d) 1 : 2 : 3 (e) None of these
11. x, y and z start a joint venture wherein they make an annual profit
of Rs. 3600. X invested one-third of the capital for one-fourth of
the time, y invested one-fourth of the capital for one-half of the
time, while z invested the remainder of the capital for the entire
year. Find the share of x in the profit.
x, y, z ,d O;kikj 'kq: djrs gS rFkk lky ds var esa 3600 :- dk ykHk
izkIr djrs gSA x iw¡th dk 1/3 Hkkx 1/4 le; ds fy, fuos’k djrk gSA y
iw¡th dk 1/4 Hkkx vk/ks le; ds fy, fuos’k djrk gSA z 'ks"k iw¡th dks iwjs
le; ds fy, fuos’k djrk gSA ykHk esa x dk fgLlk Kkr djksA
(a) Rs. 480 (b) Rs. 720 (c) Rs. 300 (d) Rs. 1200
12. A, B and C started a business by investing Rs. 24000, Rs. 32000 and
Rs. 18000 respectively. A and B are active partners and get 15%
and 12% of total profit and remaining profit is to be distributed
among them in the ratio of their investment. If C’s got total Rs.
65700 as a profit, what was the total amount of the profit?
A, B rFkk C Øe'k% 24000] 32000 rFkk 18000 :i;s fuos'k djds ,d
O;kikj izkjaHk djrs gSA A rFkk B lfØ; lk>snkj gS rFkk os dqy ykHk dk
15 izfr'kr rFkk 12 izfr'kr izkIr djrs gSA rFkk 'ks"k ykHk dks muds
fuos'k ds vuqikr esa ckaV ysrs gSA ;fn C dks 65700 :i;s izkIr gksrs gS
rks dqy ykHk fdruk gS \
(a) 47000 (b) 37000 (c) 34500 (d) 57000
13. Three people A, B and C invest Rs.5000, Rs.6000 and Rs.7000,
respectively, to start a business. If 10% of the total profit is given
to the working partner A and the remaining amount gets divided
in the ratio of the investments, what will be the ratio of the share
of profits received by A and C?
,d vkneh A, B o C ,d O;olk; vkjEHk djus ds fy, Øe’k% 5000:
6000: rFkk 7000: dk fuos’k djrs gSA ;fn dqy ykHk dk 10% A dks
lfØ; lk>snkj ds :Ik es ns fn;k tkrk gS rFkk ’ks"k /ku muds fuos’k ds
vuqikr ds vuqlkj ckaV fn;k tkrk gS, rks A o C ds }kjk izkIr ykHk ds
fgLlks dk vuqikr D;k gksxk?
(a) 1:1 (c) 7:5 (b) 5:7 (d) 7:6
14. James and Bond invest Rs. 4000 and Rs. 3000 in a business James
receives Rs. 20 per month out of the profit as a remuneration for
running the business and the rest of profit is divided in
proportion to the investments. If in a year James totally receives
Rs. 360, what does Bond receive?
tsEl vkSj ckWUM 4000 o 3000 :- yxkdj O;kikj 'kq: djrs gS tsEl
lfØ; ikVZuj gS rks og 20 :-@efgus ysrk gSA rFkk cpk gqvk ykHk
vkil esa iwath ds vuqikr esa ckaV ysrs gsA ;fn o"kZ ds var esa tsEl dks
360 :- feyrs gSA rks ckWUM dks fdrus feysaxs\
(a) Rs . 90 (b) Rs. 100 (c) Rs . 120 (d) Rs .80
15. Ram and Shyam invest a certain amount of money in the ratio of
3 : 2. If at the end of the year they donate 5% of the total profit to
charity and Ram’s share is Rs. 855, then what is the total profit?
jke vkSj ';ke us ,d fuf'pr jkf'k 3 : 2 esa fuos'k dhA ;fn o"kZ ds var
ij os dqy ykHk dk 5% nku djrs gS vkSj jke dk 'ks;j 855 :i;s gS rks
dqy ykHk fdruk gSA
(a) Rs. 1500 (b) Rs. 1100 (c) Rs. 1200 (d) Rs. 2000
(e) Rs. 1800
16. A and B started a business by investing money in the ratio of 2 :
3 respectively. If A had invested an additional amount of Rs.
10000, the ratio of A’s investment to B’s investment would have
been 3 : 2. What was the amount invested by A?
A vkSj B us Øe'k% 2 : 3 ds vuqikr esa jkf'k fuos'k dhA ;fn A us ,d
vfrfjDr jkf'k 10]000 :i;s fuos'k dh gksrh rks A vkSj B ds fuos'k dk
vuqikr 3 : 2 gksrkA A ds }kjk fdruh jkf'k fuos'k dh xbZ\
(a) Rs. 6500 (b) Rs. 8000 (c) Rs. 7000 (d) Rs. 8200
(e) None of these
17. Sony, Mony and Tony start a business each investing Rs. 20,000.
After 5 months Sony withdrew Rs. 5000, Mony withdrew Rs.
4000 and Tony added Rs. 6000 more. At the end of the year, a
total profit of Rs. 69900 was recorded. Find the share of each ?
Lkksuh] eksuh] Vksuh us ,d O;kikj 20000 #- izR;sd }kjk yxkdj izkjaHk
fd;k x;kA 5 efgus ckn lksuh 5000 #- o eksuh 4000 #- fudky ysrs gS
rFkk Vksuh 6000 #- vkSj yxk nsrk gSA ,d o"kZ ds ckn dqy ykHk 69900
#- gS rks izR;sd dk fgLLkk Kkr djks ?
(a) Rs. 20500, 21000, 22000 (b) Rs. 12000, 13000, 18000
(c) Rs. 15000, 17000, 20000 (d) Rs. 20500, 21200, 28200
18. A started a business with a capital of Rs.5000. Three months
later, B joined with a capital of Rs.7000. After another 3 months,
A invested Rs.1000 more while B withdrew Rs.2000. Two
months later, C joined with a capital of Rs.5000. In what ratio
should the profit get divided at the end of the year?
A 5000 : dh /kujkf’k ds lkFk ,d O;olk; vkjaHk djrk gSA rhu ekg
ckn, B, 7000 : dh /kujkf’k ds lkFk ’kkfey gks tkrk gSA mlds vxys
3 eghuksa ds ckn, A, 1000: vkSj fuos’k djrk gS tcfd B,2000: fudky
ysrk gSA nks ekg ckn C, 5000: dh /kujkf’k ds lkFk ’kkfey gks tkrk
gSA o"kZ ds var esa ykHk fdl vuqikr esaa ckaVk tk;sxk?
(a) 22 : 4 : 17 (b) 22 : 17 : 4 (c) 22 : 17 : 8 (d) 66 : 51 : 20
19. A, B and C enter into a partnership by investing Rs. 36000, Rs.
45000 and Rs. 55000. A is a working partner and gets 15th of the
profit for involvement and the remaining profit is divided
amongst the three in the ratio of their investments. What is the
amount of profit that C gets if A gets a total of Rs. 70,000?
A, B vkSj C us ,d O;kikj 'kq: fd;k ftless Øe'k% 36]000] 45]000 rFkk
55]000 :i;s fuos'k fd;sA A dk;Zdkjh lk>snkj gksus ds dkj.k 1@5 Hkkx
ykHk dk ysrk gSA 'ks"k Hkkx dks iwath ds fuos'k ds vuqikr esa ckaVuk gksrk
gSA ;fn A dk dqy Hkkx 70]000 :i;s gks rks C dk fgLlk Kkr djks\
(a) Rs. 55,000 (b) Rs. 45,000
(c) Rs. 50,000 (d) Rs. 57,500
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20. Viral starts a business with Rs. 90,000 and manages it too. After 5
months he fell short of money, so he invited Akshay to invest and
Akshay invested Rs. 50,000 in the business. It was agreed that Viral
would get Rs. 10,000 per month for managing the business. If the
profit at the end of the year from the operations of the business is
Rs. 1,91,500. What is the share of Akshay in the profit?
fojky 90,000 :i;s ls ,d O;kikj 'kq: djrk gS rFkk bls laHkkyrk Hkh
gSA 5 eghus ckn mls iSls dh deh yxh rks mlus v{k; dks 50000 :-
yxk O;kikj esa 'kkfey dj fy;kA ;g r; gqvk fd fojky dks izfr eghus
10,000 :i;s O;kikj laHkkyus ds fy, feyrs gSA O;kikj ds lky ds var
esa 1,91,500 :i;s dk ykHk gqvk gks rks v{k; dk fgLlk Kkr djks\
(a) 13000 (b) 17500 (c) 15700 (d) None of these
21. A and B are two friends as well as partners. A invests Rs. 700 and
B invests Rs. 1200 respectively. A is a working partner and so
gets a working allowance of Rs. 250 per month. The share of A
and B respectively in a profit of Rs. 8700 after one year is
A vkSj B, 2 fe= gksus ds lkFk&lkFk lk>snkj Hkh gSA A, 700 :i;s vkSj
B, 1200 :i;s fuos'k djrk gSA A ,d dkedkth lk>snkj gS vkSj blfy;s
mls gj eghus 250 :i;s dk dk;Z djus dk HkŸkk feyrk gSA ,d o"kZ ckn
8700 :i;s ds ykHk esa Øe'k% A vkSj B dk 'ks;j fdruk gksxk\
(a) A → Rs. 5200, B → Rs. 3500
(b) A → Rs. 3600, B → Rs. 5100
(c) A → Rs. 3500, B → Rs. 5200
(d) A → Rs. 5100, B → Rs. 3600
(e) None of these
22. A, B and C entered into a partnership by investing Rs. 12000, Rs.
15000 and Rs. 18000 respectively. A is also, a working partner
and getting 15% of the annual profit of his work. If B got 8500
from the profit what amount A got from the annual profit?
A, B rFkk C Øe'k% 12000 :i;s] 15000 :i;s] rFkk 18000 :i;s
fuos'k djds ,d lk>snkjh esa 'kkfey gksrs gSA A ,d lfØ; lk>snkj Hkh
gS vr% og vius dke dk 15 izfr'kr okf"kZd ykHk izkIr djrk gSA ;fn
B 8500 :i;s ykHk izkIr djrk gS rks A fdruk ykHk izkIr djsxk \
(a) 11200 (b) 11300 (c) 13100 (d) 11030
23. A, B and C entered into a partnership by investing Rs. 28,000, Rs.
22,000, Rs. 18,000 respectively. A is also a working partner and
getting 15% of the annual profit for the work. Find the share of B
in annual profit of Rs. 40,000.
A, B rFkk C us 28,000 :, 22,000 : rFkk 18,000 : yxkdj O;kikj esa
lk>k fd;kA A ds O;kikj izcU/ku ds fy;s ykHk dk 15% feyrk gS rks B
dk fgLlk D;k gksxk ;fn okf"kZd ykHk Rs. 40,000 gksA
(a) Rs. 11,000 (b) Rs. 22,000
(c) Rs. 20,000 (d) None of these
24. A and B are partners who share profit and loss in the ratio of 3:2,
They agree to take C into partnership of 1
4th share of profit. The
new profit sharing ratio will be:
A rFkk B nks lk>snkj gSa] tks ykHk vkSj gkfu dks vkil esa 3:2 esa ck¡Vrs gSaA
os C dks Hkh lk>snkjh esa 1
4 ykHkka’k ij ysus dks jkth gks tkrs gSa] rks ykHkka’k
dk u;k vuqikr D;k gksxk\
(a) 9:6:5 (b) 5:6:9 (c) 6:5:9 (d) 9:5:6
25. A puts Rs. 768 more in a business than B, but B has invested his
capital for 7 months while A has invested his for 4 months. If the
share of A is Rs. 42 more than that of B out of the total profits of
Rs. 358, find the capital contributed by B?
A us B ls 768 #- vf/kd ,d O;olk; esa fuos'k fd,] fdarq B us mldh
iwath 7 efguksa ds fy, fuos'k dh] tcfd A us 4 efguksa ds fy, fuos'k
dhA ;fn dqy ykHk 358 #- esa ls A dks B ls 42 #- vf/kd feyrs gS] rks
B us fdruh iwath fuos'k dh gS\
(a) Rs. 642 (b) Rs. 1400 (c) Rs. 632 (d) Rs. 462
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Solutions
Answer Key 1 a 2 a 3 b 4 b 5 b
6 b 7 b 8 b 9 a 10 a
11 a 12 b 13 a 14 a 15 a
16 b 17 d 18 d 19 a 20 b
21 d 22 b 23 a 24 a 25 c
1. (a)
Classical Approach:
In first year their investment ratio
A : B = 300 : 400 3 : 4
In first year’s profit = 210
Share of A = 3
7× 210 = Rs. 90
Hence, in second year their investment ratio
A : B = 300 + 90 : 400 390 : 400 39 : 40
This will be their new profit ratio
2. (a)
Classical Approach:
A : B : C
1
2×12 :
1
3×12 :
1
4× 12
6 : 4 : 3
6× 2 +3 ×8 : 4 × 10 : 3× 10
36 : 40 : 30
18 : 20 : 15
B’s share 20
53× 378 = 142.8
3. (b)
Classical Approach:
A : B : C = (5000 × 4 + 2500 × 8) : (4500 × 6 + 3000 × 6 + 3000 ×
6) : (7000 × 6)
= 40000:45000:42000= 40:45:42
∴ A’s share = Rs.
405080
127= Rs.1600;
B’s share= Rs.
455080
127 = Rs.1800;
C’s share = Rs.
425080
127= Rs. 1680.
4. (b)
Classical Approach:
Let amount contributed by hutch be 'x'
Hutch : Essar
x : 1275
↓ ↓
5 months 12 months
↓ ↓
5x : 1275 × 12
6 : 17
=
5 6
1275 12 17
x x = 1080
5. (d)
Classical Approach:
A : B : C
5000×6+6000×6 : 7000×3+5000×6
: 5000×4
66000 : 51000 : 20000
66 : 51 : 20
Profit ratio = 66 : 51 : 20
6. (b)
Classical Approach:
Capital invest by C = 1 -
+ =
1 1 3
2 8 8
A : B : C
Capital → 1
2 :
1
8 :
3
8
time → 1
4 :
1
2 : 1
Profit = capital 1
8 :
1
16:
3
8
2 : 1 : 6
Profit of B = =1
9900 11009
Rs.
7. (b)
Classical Approach:
Their profit ratio
James : Bond : Alice : Rex
1750× 12 : 2100 × 5 : 4000 × 7 : 6500 × 7
2100 : 1050 : 2800 : 4550 210 : 105 : 280 : 455
Let total profit = x
Hence 420
1050× x = 6720 x = Rs . 16800
8. (b)
Classical Approach:
Ratio of their capital = 6 : 5 : 3 : 1
Ratio of profit 1 : 3 : 5 : 6
∴ Req. ratio = 1 3 5 6
: : :6 5 3 1
Now L.C.M. of 6,5,3 and 1 is 30
So multiplying each ratio by 30
We get 5 : 18 : 50 : 180.
9. (a)
Classical Approach:
Suppose b and c be the share in the profit of Binny and Chirag
respectively.
and let Binny invested an additional amount after x months.
As profit is directly proportional to the amount and time.
❖ Neon Approach (Thought Process):
A : B : C = 40 : 45 : 42
From here we can say that profit of A will be less than that of both B & C & profit of B will be highest option (a) & (b) satisfy. Profit of C will be a multiple of 7. Hence option (b) is correct.
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So the profit is to be divided in the ratio of
1100 × 12 : 1300x + 1800 (12 - x) : 1700 × 12
or, 132 : 216 - 5x : 204
∴ ( ) ( )
= = =− −
627 2527
132 216 5 204 552 5
b c
x x x = 4.
10. (a)
Classical Approach:
Ratio of profits = Ratio of capital multiplied by time
Ratio of time = Ratio of profits divided by respective capitals =
=5 4 9 315 112 162
: : : :7 9 14 252 252 252
= 315 : 112 : 162
11. (a)
Classical Approach:
Let the capital invested be C.
Monthly Equivalent Investment of x = 3 4
C T
Monthly Equivalent Investment of y = 4 2
C T
Monthly Equivalent Investment of z =5
12
C× T
∴ Profit is to be shared in the ratio 5
: :12 8 12
CT CT CT
i.e., 2 : 3 : 10
∴ Share of x in the profit =2
15× 3600 = Rs. 480
12. (b)
Classical Approach:
A : B : C
24000 : 32000 : 18000
12 : 16 : 9
Let total profit = 100
A’s salary = Rs. 15
B’s salary = 12
Remaining profit = 73
Hence C’s share = 9
37× 73 = 65700
100 =
65700
9 73× 37 × 100 =Rs. 370000
13. (a)
Classical Approach:
Let the total profit be x. Therefore, A will get 0.1x for being the
working partner. The remaining 0.9x will get divided in the ratio
5:6:7. Out of this, A will get 5
18× 0.9x while C will get
7
18× 0.9x.
A will get a total of 4
xwhile C will get a total of
7
20
x
Total share of profits received by A = 0.1x +0.25x = 0.35x = 35
100
x
Total share of profits received by C = =7 35
20 100
x x
Required Ratio will be 1:1
14. (a)
Classical Approach:
James : Bond
4000 : 3000
4 : 3
James is salary = 20 × 12 = 240
James total money receive = 360
In profit James share = 360 – 240 = 120
Let Bond profit =x
Therefore 120 = 4
3×x = Rs .90
15. (a)
Classical Approach:
Let the total profit = Rs. z
Profit to be distributed = 95% of z = 19
20
z
∴ Ram's share = Rs. 19 3
20 5
z= Rs.
57
100
z
Now, 57
100
z = 855 or, z =
855 100
57= Rs. 1500
Alternatively:
Aryan's ratio
If 3 855
2 570= So, total profit = 1425
95% = 1425 ⇒ 100% =
Argument:
Answer will be somewhat greater than 1425 but very year to it.
Answer = 1500/-
(Only one option near to 1425 and greater than 1425)
16. (b)
Classical Approach:
Ratio of their initial investment: =2
3
A
B
Let the initial investment of A and B be 2x and 3x respectively.
So +
=2 10000 3
3 2
x
x
So, 4x + 20000 = 9x
or, 5x = 20000 or, x = 4000 2x = 8000
∴ amount invested by A = Rs. 8000.
❖ Neon Approach (Thought Process):
X : Y : Z
Time 3 : 6 : 12
Capital 4 : 3 : 5
Profit 12 : 18 : 7
2 : 3 : 10
X's share =
2
15 × 3600 = 480
❖ Neon Approach (Thought Process):
A : B : C = 5 : 6 : 7
+
= = =
510% 90%
35% 1187 35% 190%
18
A
C
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17. (d)
Classical Approach:
Sony : Mony : Tony
20×5 =100 : 20× 5 =100 20×5 =100
15× 7=105 : 16 ×7 = 112 26 × 7 = 182
205 : 212 : 282
Total profit = 66990
Sony’s 69900
699× 205 Rs. 20500
Mony’s 69900
6900×212 = Rs. 21200
Tony’s 69900
699× 282 = Rs. 28200
18. (d)
Classical Approach:
Equivalent contribution of A = 5000 × 6 + 6000 × 6 = 66000
Equivalent contribution of B = 7000 × 3 + 5000 × 6 = 51000
Equivalent contribution of C = 5000 × 4 = 20000
Required Ratio = 66 : 51 : 20
19. (a)
Classical Approach:
A : B : C = 36 : 45 : 55
Let total profit = x
A will get = .2x + .8x × 36
136= 70,000
= 35
85x = 70,000 ⇒ x = 1,70,000
C's share = 55
136× .8 × 1,70,000 = 55,000
20. (b)
Classical Approach:
First Viral gets Rs. 10,000 per month or Rs. 1,20,000 annually for
his management of the business. The profit now left is Rs. 71,500.
The ratio of sharing by Viral and Akshay will be 90,000 × 12 :
50,000 × 7 = 108 : 35.
Hence Akshay gets
35
143×Rs. 71,500 = Rs. 17,500
21. (d)
Classical Approach:
Suppose a and b be the shares A and B respectively.
A get 250 × 12 = Rs. 3000
∴ Actual profit to be divided = 8750 - 3000 = 5700
Now = =5700
7 12 19
a b= 300
∴ a = 2100; b = 3600
∴ A's share = (3000 + 2100) = Rs. 5100
and B's share = Rs. 3600
22. (b)
Classical Approach:
A : B : C = 12000 : 15000 : 18000 = 4 : 5 : 6
Let total profit = 100
A’s share of salary = 15
So, B’s share in remaining = 85
15× 5 =
85
3
So, 85
3⟶ 8500 ⟹ 1 ⟶ 300
So, A’s share = 15 +85
15× 4 = 15 +
68
3
= +
=45 68 113
3 3× 300 = 11300
❖ Neon Approach (Thought Process):
Here B has not changed his investment
So, B's ratio will remain same
A : B
Previous ratio 2 : 3
New ratio 3 : 2
Making B equal
A : B
Previous ratio 4 : 6
New ratio 1 : 6
A has added 5 units = 10,000
1 unit = 2000
Previous investment of A = 4 × 2000 = 8000/-
❖ Neon Approach (Thought Process):
Share of C will be multiple of 11
Only option (a) satisfies.
❖ Neon Approach (Thought Process):
A : B = 7 : 12
Salary of A = 250 × 12 = 3000
After subtracting 3000 from A's share, the remaining amount should be a multiple of 7.
Option (d)
5100 - 3000 = 2100, which is a multiple of 7
❖ Neon Approach (Thought Process):
A B C
Actual ratio 4 5 6
Since A takes 15% out of share of B & C
So, we can increase ratio here only
New Ratio A B C
4 5 6
+1.75 –0.75 –0.90
+0.90
5.65 4.25 5.1
OR 11.3×2 17 10.2
Now,
B gets =
17 8500
11.3 2 x=
(AMF = 5 × 100)
x = 11.3 ×2 × 5 × 100 = 11300
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23. (a)
Classical Approach:
A B C
Capital 28000 22000 18000
Capital Ratio 14 : 11 : 9
Profit = 40000
A for being working partner,
A get paid from profit & Remaining amount is divided among A,
B & C in capital Ratio.
Salary of A = 40000 × 15
100 = 6000
Remaining = 40000 – 6000 = 34000
B = 11
34 × 34000 = 11000
24. (a)
Classical Approach:
A : B
3 : 2
12 : 8
Total profit = 20
C will get = 20 × 1
4 = 5
Remaining 20 – 5 = 15 will be distributed in 3 : 2
A will get A and B will get 6
So, new ratio of A : B : C = 9 : 6 : 5
25. (c)
Classical Approach:
Total profit = 358
358 – 42 = 316 will be divided equally
A will get = 158 + 42 = 200
B will get = 158
A : B
Time 4 : 7
Profit 200 : 158
100 : 79
Capital 100
4 :
79
7
700 : 316
175 : 79
Using Aryan's ratio
96 79
768 x= x = 632
❖ Neon Approach (Thought Process):
A : B : C = 14 : 11 : 9
Share of B will be
11
34 of 85% 40000
=
11 1740000 11000
34 20 =
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1. Let A and B start a partnership firm by investing Rs. 24,000 and Rs.
36,000 respectively. B withdraws after 4 months. Another partner
C joins A 2 months later with Rs. 20,000. If B joins back in the 12th
month, what is the ratio in which the profit earned in 1 year would
be distributed?
A vkSj B 24,000 :- vkSj 36,000 :- ,d lk>snkjh QeZ esa fuos’k djrs
gSA B us 4 ekg ckn iSls fudky fy,A ,d vU; lk>snkj C us 2 efgus
ckj A dks 20,000 :- ds lkFk tkWbZu fd;kA ;fn B iqu% 12 osa efgus esa
'kkfey gksrk gS rks 1 lky esa dek, x, ykHk dk vuqikr D;k gS\
(a) 24 : 15 : 10 (b) 15 : 24 : 10
(c) 10 : 12 : 15 (d) 24 : 10 : 15
2. A, B and C enter into a partnership by making investments in
the ratio 3 : 5 : 7. After a year C invests another Rs. 337600
while A withdrew Rs. 45600. The ratio of investments then
changes to 24 : 59 : 167. How much did A invest initially?
A, B, C ,d O;kikj esa 3 : 5 : 7 ds vuqikr esa iwath yxkrs gsA ,d lky
ckn C, 337600 :- vksj yxkrk gS rFkk A, 45600 fudky ysrk gSA rks
muds iwath dk vuqikr 24 : 59 : 167 gks tkrk gSA A us 'kq: esa fdruk
/ku yxk;k Fkk\
(a) Rs. 141600 (b) Rs. 135000
(c) Rs. 96000 (d) Rs. 45600
3. James and Alice started a business by investing Rs. 2600 and Rs
2400 respectively. After 7 months, they added Rs 600 and Rs.
800 respectively. 33% of the total profit earned after a year is
given in donation. If after giving donation, the difference
between the shares of James and Alice is Rs. 350. Find the total
profit earned after a year.
tsEl o ,fyl ,d O;kikj izkjEHk djrs gSa Øe’k% 2600 o 2400 :i;s
yxkdj 7 efgus ckn mUgksus 600 o 800 vkSj yxk,A dqy ykHk dk
33% nku dj fn;k x;kA nku nsus ds ckn tsEl o ,fyl ds ykHk dk
varj 350 gS rks dqy ykHk Kkr djksA
(a) Rs. 17,000 (b) Rs 25,000
(c) Rs. 18,000 (d) Rs. 12,000
4. James and Bond entered into a partnership for a year in which
James invested Rs 120000 and Bond invested Rs. 70000. After 4
months, James invested Rs 80000 more whereas after 5 months,
Bond invested Rs 30000 more. When two months were left Alice
also joined investing Rs. 400000 as her contribution. If the profit
for the year was 12.5% of 1572000, find the share of James, Bond
and Alice.
tsEl vkSj ckWUM ,d O;kikj 12000 rFkk 70000 :- yxkdj 'kq: djrs gSA
5 efgus ckn tsEl 80,000 :- vksj yxkrk gSA ckWUM 30000 vksj yxkrk gSA
tc nks efgus cprs gS rks ,fyl 40000 :- yxkdj O;kikj esa 'kkfey gks
tkrh gSA ;fn muds ykHk dk 12 % , 1572000 gS rks tsEl] ckWUM o
,fyl dk ykHk Kkr djksA
(a) Rs. 40000, Rs. 104000, Rs . 52500
(b) Rs. 104000, Rs 52500, Rs. 40000
(c) Rs . 52500, Rs . 40000, Rs . 104000
(d) Rs. 78420, Rs . 48645, Rs. 48770
5. K and L start the business, with L investing the total capital of Rs.
40,000 on the condition that K pays L interest @ 8% per annum on
his half of the capital. L is a working partner and receives Rs.1200
per month from the total profit and any profit remaining is equally
shared by both of them. At the end of the year, it was found that the
income of L is twice that of K. Find the total profit for the year?
K vkSj L ,d O;olk; izkjaHk djrs gSA O;olk; dk laiw.kZ /ku 40000 :-
bl 'krZ ij yxkrk gSA fd K /kujkf’k ds vk/ks ij 8% Okkf"kZd nj ls L dks
C;kt nsxkA L ,d lfØ; lk>snkj gksus ds dkj.k 1200 :- izfr ekg ykHk
esa ls izkIr djrk gSA vkSj 'ks"k ykHk nksuksa esa cjkcj&cjkcj caV tkrk gSA o"kZ
ds var esa ;g ik;k x;k fd L fd vk; K dh vk; ls 2 xquk gks okf"kZd ykHk
Kkr djksA
(a) 51400 (b) 52800 (c) 46400 (d) 45600
6. Ten friends, six boys and four girls, started a business in
partnership. Each boy has an equal share of investment and each
girl has exactly three times the share of investment as that of any
of the boy partners. Further, at the end of every financial year each
girl partner first gets 10% interest on her share of investment and
the remaining profit is then divided among all the partners in the
ratio of their respective investments. Find the ratio of the net share
of profit of any of the boy partners to that of the girl partners if the
company made a profit of 35% on sales last year?
nl nksLr 6 yM+ds vkSj 4 yM+fd;ksa us ,d lk>snkjh 'kq: dhA izR;sd
yM+ds ds ikl leku fuos'k jkf'k gS vkSj izR;sd yM+dh ds ikl ,d
yM+ds ls rhu xquk fuos'k jkf'k gSA blds vykok izR;sd foŸkh; o"kZ ds
var ij izR;sd yM+dh dks mlds fuos'k ij igys 10% C;kt fn;k tkrk
gS vkSj 'ks"k ykHk dks lHkh esa muds fuos'k ds vuqikr esa ckaVk tkrk gSA
;fn dEiuh us vafre o"kZ fcØh ij 35% ykHk dek;k gks rks ,d yM+ds
vkSj yM+dh lk>snkj ds e/; ykHk dk vuqikr Kkr djks\
(a) 1 : 2 (b) 2 : 1
(c) 3 : 5 (d) Can’t be determined
(e) None of these
7. Nisha, Esha and Ayesha start a business with Rs. 30,000, Rs.
40,000 and Rs. 50,000 respectively. Nisha stays for the entire
year. Esha leaves the business after two months and rejoins
after another four months but only with 75% of her initial
capital. Ayesha leaves after three month and rejoins after
another 5 months but only with 80% of her capital. If the annul
profit Rs. 27,900, then calculate how much more money than
Esha did Ayesha get
fu'kk] bZ'kk vkSj vkbZ'kk us Øe'k% 30]000 :i;s] 40]000 :i;s vkSj
50]000 :i;s ls ,d O;olk; 'kq: fd;kA fu'kk iwjs lky jghA bZ'kk
us 2 ekg ckn O;olk; NksM+ fn;k vkSj mlds 4 ekg ckn 75% izkjfEHkd
1
2
Exercise - 3 Level - 3
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iwath ds lkFk iqu% 'kkfey gqbZA vk;'kk us 3 ekg ckn NksM+ fn;k vkSj
mlds 5 ekg ckn 80% iwath ds lkFk fQj ls 'kkfey gqbZA ;fn okf"kZd
ykHk 27]900 :i;s Fkk rks Kkr djksA vkbZ'kk dks bZ'kk ls fdruh vf/kd
jkf'k izkIr gqbZ\
(a) Rs. 1800 (b) Rs. 2500
(c) Rs. 3000 (d) Rs. 1500
(e) None of these
8. A, B and C enter into a partnership and their shares are in ratio
1 5: :
3 4 12, after 3 months B withdraws half of his capital, after 2
more months A withdraws 3
8th of his investment and after 3
more months C withdraws half of his investment. What is the
share of C in a profit of Rs. 35,20,000 at the end of the year (in
lac of rupees)?
A, B rFkk C us ,d O;kikj 'kq: fd;kA rhukas us Øe'k% 1 1 5
: :3 4 12
ds
vuqikr esa iwath fuos'k dhA 3 eghus ckn B us viuh iwath dh vk/kh iawth
fudky yhA 2 vkSj eghus ckn A us viuh iwath dk 3
8Hkkx fudky fy;k
rFkk vxys rhu eghus ckn C viuh iawth dk vk/kk Hkkx fudky ysrk gSA
lky ds var esa 35]20]000 :i;s esa ls C dk fgLlk Kkr djks\
(a) 15 (b) 15.5
(c) 16 (d) 17.5
9. A starts a small business by investing a certain sum of money.
B joins A after three months from the start of the business by
investing 1.5 time A’s investment. Three months after B joined
the business, C joins A and B by investing half of A’s investment.
It was agreed that the working partner would receive 10% of
the profit and the share according to the investment proportion
from the rest of the profit. If total profit at the end of the year
was Rs. 23750, how much will A, being the only working
partner receive?
A us fuf’pr /kujkf’k ls ,d NksVk O;kikj vkjaHk fd;k A B us A ds 1.5
xquk jkf’k 3 ekg ckn yxkdj O;kikj esa 'kkfey gks x;kA B ds 'kkfey
gksus ds 5 ekg ckn C, A dh /kujkf’k dk vk/kk yxkdj O;kikj esa
lfEefyr gqvkA rhuksa esa r; gqvk fd ykHk dk 10% lfØ; lk>snkj dks
feysxk vkSj 'ks"k ykHk fuos’k dh jkf’k ds vuqikr esa ckaV fy;k tk;sxkA
;fn o"kZ ds var esa ykHk 23750 gks rks A lfØ; lk>snkj gksus ls fdruk
/ku izkIr djsxk \
(a) 11375 (b) 12375 (c) 16375 (d) 13375
10. A and B are partners in a firm out of which A is sleeping partner
and B is working partner. A invests Rs. 1,40,000 and B invests
Rs. 80,000. B receives 14.5% of profit for managing the
business and the rest is shared between both in ratio of their
investments. A's share in the profit of Rs. 19600 is ?
A vkSj B ,d O;olk; esa lk>snkj gSA ftlesa A fuf"Ø; lk>snkj vkSj B
lfØ; lk>snkj gSA A, 1,40,000 vkSj B, 80,000 O;olk; esa fuos’k djrs
gSA B lfØ; lk>snkj gksus ds ukrs O;olk; dks pykus ds fy, ykHk esa ls
14.5% Hkkx ysrk gSA vkSj 'ks"k ykHk A vkSj B esa muds fuos’k ds vuqikr
esa ckaVk tkrk gSA ;fn ykHk 19600 :- gks rks A dk fgLlk gksxk\
(a) 9580.25 (b) 10664.15
(c) 11060.48 (d) 10600
11. A, B and C partners in a business. Their capitals are respectively
Rs. 5000, Rs. 6000, and Rs. 4000.A gets 30% of the total profit
for managing the business. The remaining profit is divided
among three in the ratio of their capitals. In the end of the year,
the profit of A is Rs. 200 more than the sum of the profits of B
and C. Find the total profit.
A, B, C us Øe’k% 5000, 6000, 4000 yxkdj O;kikj 'kq: fd;kA A dks
dqy ykHk dk 30% feyk O;kikj pykus ds fy,A cpk gqvk ykHk mUgksus
iwath ds vuqikr esa ckaV fy;kA o"kZ ds var esa ;fn A ds }kjk dek;k
gqvk ykHk B rFkk C ds }kjk dek,a x, ykHk ls 200 :i;s T;knk gS rks
dqy ykHk crkvks \
(a) 2000 (b)3050 (c) 3000 (d) 7500
12. A partnership business has a capital of Rs. 40,000 of which one
half is contributed by Asifa and the other half contributed
equally by Bhumika and Celina. They hire Jyoti as manager and
agree to pay her 10% of the gross profit. Bhumika and Celina
are also paid 5% each thereof before the distribution of profit
in proportion to their investment. Find the shares of Asifa,
Bhumika, Celina and Jyoti out of a total profit of Rs. 12,600.
,d lk>snkjh O;olk; esa 40]000 :i;s iawth gS ftlesa ls vk/kh vkflQk
dh gS vkSj vU; vk/kh Hkwfedk vkSj lsyhuk us leku :i ls nh gSA mUgksus
T;ksfr dks eSustj dh rjg j[kk vkSj mls dqy ykHk dk 10% nsus ij
jkth gq;sA Hkwfedk vkSj lsyhuk dks Hkh izR;sd dks 5% fn;k x;kA dqy
ykHk 12]600 :i;s esa ls vkflQk] Hkwfedk] lsyhuk vkSj T;ksfr dk 'ks;j
Kkr djks\
(a) Rs. 5040, 3150, 3150, 1260
(b) Rs. 5000, 3150, 3150, 1300
(c) Rs. 1300, 3150, 3150, 500
(d) Rs. 1260, 3150, 3150, 5040
(e) None of these
13. A, B and C started a business by investing Rs. 72000, Rs. 27000
and Rs. 81000. It was decided that servant’s salary Rs. 2000 per
month should be given from the profit. If the profit is Rs. 25000
in the first month and Rs. 20000 in the second month and
average profit of remaining 10 months is Rs. 21000, find the
share of C.
A, B rFkk C Øe’k% 72000 :] 27000 : rFkk 81000 :- yxk dj O;kikj
'kq: djrs gSA ;g r; fd;k tkrk gS ukSdj dh 2000 :- dh osru ykHk
ls fn;k tk,xk ;fn igys eghus dk ykHk 25000] nwljs eghus dk ykHk
20000 rFkk 'ks"k 10 eghus dk vkSlru ykHk 21000 :- gks rks C dk
fgLlk Kkr djksA
(a) Rs. 34650 (b) Rs. 92400
(c) Rs. 10000 (d) Rs. 103950
14. Ram, Shyam and Ghanshyam invest Rs. 2000, Rs. 10000 and Rs.
5000 to set up a stall. Ram gets 15% of the total profit for running
the stall. If in a year, Ram gets Rs. 500 less than Shyam and
Ghanshyam together, then the total profit of that year is :
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jke] ';ke rFkk /ku’;ke Øe’k% 2000 :] 10000 rFkk 5000 :- fuos’k
djrs gSA jke LVkWy dks O;ofLFkr djus ds fy, 15% dqy ykHk dk
ysrk gSA lky esa jke ';ke rFkk /ku’;ke ls 500 :- de ysrk gS rks
lky dk dqy ykHk Kkr djksA
(a) Rs. 1000 (b) Rs. 2000 (c) Rs. 1500 (d) Rs. 3000
15. A, B and C invested Rs. 900, Rs. 1600 and Rs. 700 respectively.
After first quarter they invested additional amount in the ratio
of 2 : 5 : 3 . After second quarter they invested additional
amount in the ratio of 4 : 3 : 4. Again 3rd quarter they invested
addition amount in the ratio of 7 : 6 : 7. If the sum of the total
amount invested by A and B in the year is Rs. 9000 and that of
B and C is Rs. 10500 then find the total amount invested by all
of them for only 2nd quarter.
A, B, C Øe’k% 900, 1600 rFkk 700 :- O;kikj esa yxkrs gSA igys
prqZFkkal ds ckn os vksj iwath 2 : 5 : 3 ds vuqikr esa] nwljs prqZFkkal ds
ckn os 4 : 3 : 4 ds vuqikr esa rFkk iqu% rhljs prqZFkkal ds ckn 7 : 6 :
7 ds vuqikr esa iwath yxkrs gS ;fn A + B }kjk dqy 9000 :- fuo s’k
fd;k x;k gSA rFkk B + C }kjk dqy 10500 :- fuos’k fd;k x;k gSA
rks crkvks dqqy fdruh iwath muds }kjk nwljs prqZFkkal esa yxkbZ xbZA
(a) 17000 (b) 1700 (c) 27000 (d) 10000
16. The manager (M) of the company along with his Assistant
Manager (AM) and a Business Analyst (BA) invest Rs. 55000, Rs.
45000 and Rs. 60000 respectively in a partnership firm for six
months. The Manager being the highest authority among the
three gets one-tenth of the total profit and Assistant Manager
being second highest authority gets 1/20th of the remaining and
the remaining profit is divided among the three in the ratio of
their investments. If the total profit was Rs. 40000, who gets the
minimum share and how much?
,d eSustj (M) mlds lgk;d eSustj (AM) vkSj O;kikj lgk;d (BA)
,d lk>snkjh QeZ esa 6 efgus ds fy, Øe’k% 55000 :] 45000 : vkSj
60000 :- fuos’k djrs gSA eSustj loksZPp vf/kdkjh gksrs gq, dqy ykHk
dk 1/10 Hkkx ysrk gS vkSj lgk;d eSustj nwljk loksZPp vf/kdkjh gksrs
gq, 'ks"k dk 1/20 ysrk gS vkSj 'ks"k ykHk dks muds fuos’k ds vuqikr esa
ck¡Vk tkrk gSA ;fn dqy ykHk 40,000 :- Fkk rks fdls u;wure fgLlk
feyk vkSj og fdruk FkkA
(a) BA, Rs. 11400 (b) AM, Rs. 11419
(c) AM, Rs. 12500 (d) None of these
17. Rex and David started a business in partnership. Rex invested
a capital of Rs. 50000. David agrees to pay Rex an interest on
half the capital at 8% per annum. Also David receives a salary
of Rs. 500 per month for managing the business. After six
months Rex withdraws Rs. 20000 and David pitches in an equal
amount. David continues to pay Rex interest at 8% per annum
for the balance amount. At the end of the year they divide the
profit equally and found that total earning of David in the year
was exactly thrice that of Rex. What was the total profit?
jSDl vkSj MsfoM us ,d O;olk; 'kq: fd;kA jSDl us 50000 :- dh
iw¡th fuos’k dhA MsfoM] jSDl dks mldh vk/kh iw¡th ij 8% izfr o"kZ
C;kt nsus dks jkth gks x;kA MsfoM dks O;olk; laHkkyus ds fy, 500
:- izfr ekg osru fn;k tkrk gSA 6 efgus ckn jSDl us 20000 :-
fudky fy, vkSj MsfoM us leku jkf’k fuos’k dhA MsfoM us jSDl dks
'ks"k jkf’k ij 8% izfro"kZ C;kt nsuk tkjh j[kkA o"kZ ds var ij mUgksaus
ykHk dks cjkcj ck¡V fy;kA vkSj ik;k dh o"kZ esa MsfoM dh dqy vkenuh
jSDl dh rhu xquk FkkA rks dqy ykHk D;k Fkk\
(a) Rs. 7200 (b) Rs. 6800 (c) Rs. 5400 (d) Rs. 4800
18. A and B started a business by investing Rs. 36,000 and Rs.
45,000 respectively. After 4 months B withdraws 4
9 of his
investment. Its 5 months after she again invested 11
9 of its
original investment. If the total earned profit at the end of the
year, is Rs. 1,17,240 then who will get more money as a share
of profit and how much?
A vkSj B fdlh O;kikj esa Øe’k: 36,000 : rFkk 45,000 : yxkdj
'kq:vkr djrh gSaA 4 eghus ckn B viuh iw¡th dk 4
9 Hkkx fudky ysrh gSA
mlds 5 eghus ckn og viuh ewy iw¡th dk 11
9 Hkkx iqu: fuos’k dj nsrh
gSA ;fn o"kZ ds vUr esa 1,17,240 : dk ykHk gks] rks ykHk esa ls fdldks
vkSj fdrus :Ik;s vf/kd izkIr gksaxs\
(a) A, Rs. 15,500 (b) B, Rs. 12,450
(c) A, Rs. 14,245 (d) B, Rs. 13,560
19. A and B start a business, A put in double of what B puts. A
withdraws 1
3 of his stock at the end of 3 months but at the end
of 7 months puts back 1
3 of what he has taken out, when B
takes out 1
4 of his stock. if profit at the end of the year is Rs.
300, what does B receive?
A vkSj B us ,d O;olk; 'kq: fd;kA A us B ls nqxquk /ku yxk;kA A
us 3 efguksa ds var ij 1
3 Hkkx fudky fy;k] fdarq 7 efguksa ds var
ij mlds fudkys gq, /ku dk 1
3 Hkkx mlus fuos'k dj fn;kA B us Hkh
blh le; 1
4 Hkkx fudky fy;kA o"kZ ds var ij 300 #- dk ykHk
gqvkA B dks fdruh jkf'k feyhA
(a) Rs. 108 (b) Rs. 273
(c) Rs. 192 (d) Rs. 208
20. Three hikers A, B and C start on a trip with Rs. 50 each and
agree to share the expenses equally. If at the end of the trip, A
has Rs. 20 left with him, B Rs. 30 and C Rs. 40, how must they
settle their accounts?
3 ;kf=;ksa A, B vkSj C izR;sd 50 #- ds lkFk ;k=k 'kq: djrs gS vkSj
cjkcj O;; nsus ij jkth gks tkrs gSA ;fn ;k=k ds var esa A ds ikl
20 #-] B ds ikl 30 #- vkSj C ds ikl 40 #- cps rks mUgsa viuk [kkrk
dSls r; djuk pkfg,A
(a) C must pay Rs. 10 to A (b) A must pay Rs. 10 to B
(c) A must pay Rs. 10 to C (d) Can't be settled
21. Two partners invest Rs. 6280 and Rs. 3768 respectively in a
business and agree that 30% of the profit should be divided
equally between them and the remaining profit is to be treated
as interest on capital. If one partner gets Rs. 700 more than the
other, find the total profit made in the business.
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nks lk>snkjksa us Øe'k% 6280 #- rFkk 3768 #- ,d O;olk; esa fuos'k
fd, vkSj bl ckr ij lger gq, fd 30% ykHk nksuksa esa cjkcj c¡Vk
vkSj 'ks"k dks iw¡th ij C;kt ds :i eas ekuk x;kA ;fn ,d lk>snkj dks
vU; ls 700 #- vf/kd feys rks O;olk; esa dqy fdruk ykHk gqvkA
(a) 4000 (b) 3800
(c) 4125 (d) 4500
22. Three partners A, B and C invested Rs. 42,000, Rs. 48,000 and
Rs. 32,000 respectively. Partnership condition is that, each will
get interest on his capital at the rate of 7% p.a. and the
remaining profit will be divided in the raito of their capitals. If
at the end of the year the total profit is Rs. 32,940, then find the
share of A in profit.
fdlh O;kikj esa rhu lk>snkj A, B rFkk C Øe’k: 42,000 :] 48,000 :
rFkk 32,000 : fuos’k djrs gSaA lk>snkjh dh 'krZ ;g gS fd izR;sd
viuh iw¡th ij 7% okf"kZd nj ls C;kt ysxk tks ykHk eas ls gh fn;k
tk,xk rFkk 'ks"k ykHk os fuosf’kr iw¡th ds vuqikr esa ck¡VsxsaA ;fn ,d
o"kZ ds vUr esa dqy 32,940 : dk ykHk gqvk gks] rks mleas ls A dk
fgLlk D;k gksxk\
(a) Rs. 12,960 (b) Rs. 11,340
(c) Rs. 8,640 (d) None of these
23. In a business A and B gained some amount in a certain ratio. B
and C received the profit in the ratio as that of A and B. If A
received Rs. 6,400 and C received Rs. 10,000. Find the share of
B
,d O;kikj esa A rFkk B dks ,d fuf’pr vuqikr esa ykHk gqvkA B rFkk C
dks Hkh mlh vuqikr esa ykHk gqvk ftl vuqikr esa A rFkk B dks gqvk FkkA
;fn ykHk esa ls A dks 6400 : rFkk C dks 10,000 feys rks B dks fdrus
:Ik, feys\
(a) Rs. 2,000 (b) Rs. 4,000
(c) Rs. 8,000 (d) Rs. 10,000
24. A and B share profits and losses in a firm in the ratio of 3:2. C
entered in this firm as a new partners, his profit sharing ratio is 1
4.
If C has taken his share of profit form A and B in equal ratio, then
the new profit-sharing ratio will be:
,d daiuh esa A vkSj B ds ykHk rFkk gkfu dks vuqikr 3:2 esa ck¡Vrs gSaA
,d u, lk>snkj ds :Ik esa C daiuh esa vkrk gS mlds ykHk dh fgLlsnkjh 1
4 Hkkx gSA ;fn C us A vkSj B ls leku vuqikr esa viuk ykHkka’k fy;k gS
rks ykHkka’k dk u;k vuqikr D;k gksxk\
(a) 19:11:1 (b) 19:11:10
(c) 10:11:9 (d) 10:11:19
25. A, B and C share profit in the ratio of 1
4:1
6:7
12. If C retires, they
share the profit of C in the ratio of 4:5 respectively. The new
profit-sharing ratio of A and B will be:
A, B rFkk C ds ykHkka’k dk vuqikr 1
4:1
6:7
12 gSA ;fn C lsokfuo`Ùk gks tkrk
gS] rks os C ds fgLls ds ykHk dks vkil esa Øe’k: 4:5 ds vuqikr esa ck¡Vrs
gSa] rks A rFkk B ds ykHkka’k dk u;k vuqikr D;k gksxk\
(a) 55:53 (b) 53:55
(c) 5:3 (d) 3:5
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Solutions
Answer Key 1 a 2 a 3 b 4 b 5 b 6 d 7 d 8 c 9 a 10 b 11 c 12 a 13 d 14 a 15 a 16 b 17 a 18 d 19 a 20 a 21 a 22 b 23 c 24 b 25 a
1. (a)
Classical Approach:
A’s contribution = 24,000 × 12
B’s contribution = 36,000 × (4 + 1)
C’s contribution = 20,000 × 6
The required ratio = (24 × 12) : (36 × 5) : (20 × 6)
= 24 : 15 : 10
2. (a)
Classical Approach:
Their investment ratio = A : B : C 3 : 5 : 7
Let their investment = A= 3x , B = 5x , C = 7x
After a year their investment = A = 3x - 45600
B = 5x , C = 7x + 337600
Therefore −
=3 45600 24
5 59
x
x
59x – 896800 = 40x x= 47200
A ‘s initial salary = 47200 × 3 = Rs. 141600
3. (b)
Classical Approach:
Their investment ratio
James : Alice = 2600 : 2400 13 : 12
Their profit ratio = 2600 × 7 + 3200 × 5 : 2400 × 7 + 3200 × 5
171 : 164
Let total profit = x
after giving donation, Remaining profit = x × 67
100
Hence, x ×67
100×
7
335 = 350 x = Rs. 25000
4. (b)
Classical Approach:
Their profit ratio James : Bond : Alice
120000×4 + 200000×8 : 70000×5 + 100000×7 : 400000×2
208 : 105 : 80
Profit = 1572000 × 12.5
100= 1572 × 125
Share of James = 208
393× 1572 × 125 = 104000
Share of Bond = 105
393× 1572 × 125 = 52500
Share of Alice = 80
393× 1572 × 125 = 40000
5. (b)
Classical Approach:
Interest Received by L from k = 8 % of half of 400
= 8% of 2000 = 1600
Amount received by L per annum for being
A working partner = 1200 × 12 = 14400
Let ‘A’ be the part of remaining profit that ‘L’ receive as his
share
Total income of k = A - 1600
Given income of L = Twice the income of K
1600 + 14400 + A = 2A - 3200 A = 19200
∴ Total profit = 2A + 14400 ⇒ 38400 + 14400 = 52800
6. (d)
Classical Approach:
Let each boy invested Rs. 100
Then the each girl invested Rs. 100 × 3 = Rs. 300
Thus the total capital is
6 × 100 + 4 × 300 = Rs. 1800
Let K be the total sales of the last year
Then profit = 0.35 K
Now interest paid to each girl is
10% of 300 = Rs. 30
∴ Total interest paid = Rs. 120
Now Total share of each girl partner
300
1800(0.35K - 120) + 30
Similarly total share of each boy partner is
100
1800 (0.35K - 120)
Since the value of K is not known so the answer can not be
determined.
7. (d)
Classical Approach:
Nisha invested Rs. 30,000 for 12 months
Esha invested Rs. 40,000 for 2 months and Rs. 30,000 for 6 months.
❖ Neon Approach:(Thought Process)
James : Bond : Alice = 208 : 105 : 80
Share of James is approximately twice that of Bond.
Only option (b) satisfies.
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Ayesha invested Rs. 50,000 for 3 months and Rs. 40,000 for 4 months
∴ The amount profit will be divided in the ratio
= 30 × 12 : [40 × 2 + 30 × 6] : [50 × 3 + 40 × 4]
= 360 : 260 : 310 = 36 : 26 : 31
∴ Esha's share = 26 × 27900
93= Rs. 7800
Ayesha's share = 31
93× 27900 = Rs. 9300
∴ Ayesha gets Rs. 1500 more than Esha.
8. (c)
Classical Approach:
A : B : C = 1 1 5
: :3 4 12
= 4 : 3 : 5 = 8 : 6 : 10
A : B : C = 8 × 5 + 5 × 7 : 6 × 3 + 3 × 9 : 10 × 8 + 5 × 4
= 75 : 45 : 100 = 15 : 9 : 20
C's share =20
44× 35,20,000 = 16,00,000
9. (a)
Classical Approach:
A : B : C = Capital Ratio = 2 : 3 : 1
Time = 12 : 9 : 6 Time ratio 4 : 3 : 2
∴ Profit Ratio = 8 : 9 : 2
∵ Share of A = 10% of profit + 8
19of Remaining profit
= 10
100× 23750 +
8
19× 23750 ×
90
100
= 2375 + 9000 = Rs. 11375
10. (b)
Classical Approach:
Profit receive by china as working partner = 14.5% of 19600
= 14.5 ×19600
100= 2842
∴ Balance profit = 19600 – 2842 = 16758
Ratio of investment of China in investment = 4 : 7
Hence share of china in investment = 4 16758
100= 6093.85
∴ Share of A = 19600 – 2842 – 6093.85 =Rs. 10664.15
11. (c)
Classical Approach:
Their investment ratio A : B : C = 5 : 6 : 4
Let total profit = 150 unit
Hence a’s commission for managing the business
= 150 × 30
100 = Rs. 45
Therefore, A’s profit = 5
15× 105 = 35
(B + C)’s profit = 10
15× 105 = 70
A’s total profit = 35 + 45 = 80
According to question difference between profit of A and B, C
together = 80 – 70 = 10
10 =200, 150 = 200
10× 150 = Rs. 3000
12. (a)
Classical Approach:
Asifa contributed 1
2× 40,000 = Rs. 20,000
Bhumika contributed 1
2× 20,000 = Rs. 10,000
and Celina contributed = Rs. 10,000
Ratio of the investments of
∴ Asifa's : Bhumika : Celina
20,000 : 10,000 : 10,000 = 2 : 1 : 1 = 2 + 1 + 1 = 4
Total profit = Rs. 12,600
Payment to Jyoti = 10% of Rs. 12,600 = Rs. 1260
❖ Neon Approach (Thought Process):
A : B : C = 8 : 9 : 2
B + C will get =
11
19 of 90% of 23750
= =
11 923750 12375
19 10
A will get = 23750 – 12375 = 11375
❖ Neon Approach (Thought Process):
A : B = 7 : 4
A will get
7
11 of 85.5% of 19600
= =
7 85.519600 10664.1818
11 100
❖ Neon Approach (Thought Process):
A B C
Actual ratio 5 6 4
New ratio 5 6–1.8 4–1.2
+1.8
+1.2
8 4.2 2.8
Now difference in A and B + C = 1
Aryan ratio
1 200
15 3000=
Total profit = 3000
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Payment to Bhumika = 5% of 12,600 = Rs. 630
Payment of Celina = Rs. 630
∴ Net profit : Rs. (12600 - 1260 - 630 - 630)
= Rs. 10080
∴ Asifa's share in the net profit
2 × 10080
4= Rs. 5040
Bhumima's share = 1 × 10080
4= Rs. 2520
Celina's share = 1 × 10080
4= Rs. 2520
∴ Asifa share in the profit = Rs. 5040
Bhumika's share in the profit =
Rs. 2520 + Rs. 630 = Rs. 3150
Celina's share in the profit = Rs. 2520 + Rs. 630
= Rs. 3150 and Jyoti's share in the profit = Rs. 1260
13. (d)
Classical Approach:
Total annual profit = 25000 + 20000+ 210000 × 10
= Rs. 255000
Actual profit = Rs. 255000 – (2000 × 12) = Rs. 231000
Total investment = 72000 + 27000 + 81000 = Rs. 180000
A’s share =72000
180000× 231000 = Rs. 92400
B’s share =27000
180000× 231000 = Rs. 34650
C’s share =81000
180000× 231000 = Rs. 103950
14. (a)
Classical Approach:
85% of the total profit is divided in the ratio
2 : 10 : 5.
85% of total profit = 2x + 10x + 5x = 17x
Total profit =17
85%
x= 20x
∴ Share of Ram in the profit = 2x + 15% of 20x
= 2x + 3x = 5x
Share of Shyam in the profit = 10x
Share of Ghanshyam in the profit = 5x
Now, (10x + 5x) – 5x = 500 10x = 500 x = 50
∴ Total profit = 20 × 50 = Rs. 1000
15. (a)
Classical Approach:
Total investment of A = 900, B = 1600, C = 700
After first quarter A= 2K, B = 5K, C = 3K
After second quarter A = 4P, B = 3P, C = 4P
After third quarter A = 7s, B = 6s, C = 7S
Total, A = 900 + 2k + 4p + 7s
B = 1600 + 5 k + 3p + 6s
C = 700 + 3k + 4p + 7s
Hence total investment of A and B = 9000
900 + 2k + 4p + 7s + 1600 +5k + 3p + 6s = 9000
7k + 7p + 13s = 6500 ……(i)
And total investment of B and C = 10500
1600 + 5k + 3p + 6s + 7000 + 3k + 4p + 7s= 10500
8k + 7p +13s = 8200 ...…(ii)
Eq (i) and (ii)
8k + 7p +135 = 8200
7k +7p +135 = 6500 K = 1700
Total invest of all in 2nd quarter = 2k + 5k + 3k = 10k
= 10 × 1700 = Rs. 17000
❖ Neon Approach (Thought Process):
Jyoti's share = 10% of 12600 = 1260
only option (a) satisfies.
❖ Neon Approach (Thought Process):
A : B : C = 8 : 3 : 9
Actual profit = Rs. 255000 – (2000 × 12) = Rs. 231000
Share of C will be highest and a multiple of 9
Option (a) and (d) are multiple of 9 but amount in option
(a) is very less.
Hence, option (d) is correct.
❖ Neon Approach (Thought Process):
R S G
2 10 5
Ram will take 15% share of S and G.
New ratio
R S G
2 10 5
+1.5 –1.5 –0.75
+1.75
4.25 8.5 4.25
Difference between share of Ram from Shyam and Ghanshyam together = 8.5
Aryan ratio
8.5 500
17 1000=
(AMF = 2)
Total profit = 1000
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16. (b)
Classical Approach:
The ratio of their investments is 11 : 9 : 12.
So, the Manager gets 1
10(40000) = 4000 + his share
Remaining amount = 36000.
Assistant Manager gets 1
20(36000) = 1800 + his share.
Remaining amount = 36000 – 1800 = 34200
∴ M’s share =11
32× 34200 + 4000 = 11756.25 + 4000
= Rs. 15756.25 ≅ Rs. 15756
AM’s share =9
32× 34200 + 1800 = 9618.75 + 1800
= Rs. 11418.75 ≅ Rs. 11419
BA’s share =12
32× 34200 = Rs. 12825.
17. (a)
Classical Approach:
Interest paid by David to Rex for first six months
= 50000 8 1
2 100 2= Rs. 1000
For last six months =−
30000 20000 8 1
2 100 2= Rs. 200
∴ Total salary paid to David = 12 × 500 = Rs. 6000
Let the total profit be Rs. x
Rex’s earning = 1200 + −6000
2
x
David’s earning = 6000 +−6000
2
x – 1200
∴ 3−
+
60001200
2
x= 4800 +
−6000
2
x
3600 + 3
2
x – 9000 = 4800 +
2
x – 3000
∴3
2
x-
2
x= 7200; ∴ x = Rs. 7200.
18. (d)
Classical Approach:
A : B = 36 × 12 : 45 × 4 + 25 × 5 + 80 × 3
= 432 : 180 + 125 + 240 = 432 : 545
B will get more than A.
Extra amount = 545 432
545 432
−
+ × 117240
= 113
977 × 117240 = 13560
19. (a)
Classical Approach:
A : B = 2 : 1 = 72 : 36
A : B = 72 × 3 + 48 × 4 + 56 × 5 : 36 × 7 + 27 × 5
= 216+ 192 + 280 : 252 + 135 = 688 : 387 = 16 : 9
Share of B = 9
25 × 300 = 108
20. (a)
Classical Approach:
Total money = 150
Money left = 20 + 30 + 40 = 90
Expenditure = 150 – 90 = 60
Each should pay 20
A B C
Amount paid 30 20 10
Expenses 20 20 20
So, C will pay Rs. 10 to A
21. (a)
Classical Approach:
I : II = 6280 : 3768
1570 : 942 = 10 : 6 = 5 : 3
Using Aryan's ratio
2 8
700 x= x = 2800
But 2800 is only 70% of profit
So, total profit = 2800 × 10
7 = 4000
22. (b)
Classical Approach:
A : B : C = 42 : 48 : 32 = 21 : 24 : 16
A + B + C = 61
7% of (A + B + C) = 7
100 × 122000 = 8540
Net profit = 32940 – 8540 = 24400
A will get = 42000 × 7
100 + 24400 ×
21
61
= 2940 + 8400 = 11340
23. (c)
Classical Approach:
A : B : C
a : b
a : b
a2 : ab : b2
a2 = 64000 a = 80
b2 = 10000 b = 100 ⇒ ab = 8000
❖ Neon Approach (Thought Process):
Share of A will be a multiple of 7. Only option (b) satisfies.
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24. (b)
Classical Approach:
A : B = 3 : 2 = 24 : 16 Let total profit = 40
C will get = 40 × 1
4 = 10 and he will take 5 from A and 5 from
B.
So, share of A = 24 – 5 = 19
Share of B = 16 – 5 = 11
So, new ratio = A : B : C = 19 : 11 : 10
25. (a)
Classical Approach:
A : B : C = 1 1 7
: :4 6 12
= 3 : 2 : 7 = 27 : 18 : 63
After retirement of C, share of C will be divided in 4 : 5.
A will get 4
9 × 63 = 28 and B will get
5
9 × 63 = 35
New ratio of A : B = 27 + 28 : 18 + 35 = 55 : 53
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1. In a partnership business, B’s capital was half of A’s. If after 8 months,
B withdrew half of his capital and after 2 months more A withdrew
1/4 th of his capital, then the profit ratio of A and B will be
,d lk>k dkjksckj esa B dh iw¡th A ls vk/kh FkhA ;fn 8 ekg ckn B us viuh
vk/kh iw¡th fudky yh gks vkSj mlds 2 ekg ckn A us viuh 1/4 iw¡th fudky
yh gks] rks A vkSj B ds ykHk dk vuqikr fdruk gksxk\
(a) 5 : 2 (b) 10 : 23
(c) 2 : 5 (d) 23 : 10
(SSC CGL 2014 Tier - II, 12.04.2015)
2. A and B entered into a partnership investing Rs. 16000 and Rs.
12000 respectively. After 3 months A withdrew Rs. 5000 while B
invested Rs. 5000 more. After 3 more months C joins the business
with a capital of Rs. 21000. The share of B exceeds that of C, out of
a total profit of Rs. 26400 after more one year by
A vkSj B us ,d lk>snkjh dh vkSj Øe’k% 16000 :i, vkSj 12000 :i,
dk fuos’k fd;kA 3 eghus ds ckn A us 5000 :i, fudky fy, vkSj B us
5000 :i, vkSj fuos’k fd,A vkxs rhu eghuksa ds ckn C us 21000 :i,
dh iawth yxkdj dkjksckj esa 'kkfey gks x;kA ,d o"kZ ckn 26400 :i,
ds ykHk esa B dk fgLlk C fdruk vf/kd gS\
(a) Rs. 2400 (b) Rs. 1200
(c) Rs. 3600 (d) Rs. 4800
(SSC CGL Tier - I, 09.08.2015)
3. In a business A and C invested amounts in the ratio 2 : 1, whereas
A and B invested amounts in the ratio 3 : 2. If their annual profit
be Rs. 157300, then B’s share in the profit is
A vkSj C ,d O;olk; esa 2 : 1 ds vuqikr esa fuos'k djrs gSaA tcfd A vkSj
B, 3 : 2 esa fuos'k djrs gSA ;fn mudk okf"kZd ykHk 157300 :i;s gS rks
B dk ykHk esa 'ks;j fdruk gS\
(a) Rs. 24200 (b) Rs. 48000 (c) Rs. 36300 (d) Rs. 48400
(SSC CHSL LDC, DEO, 01.11.2015)
4. A, B and C together start a business. Three times the investment
of A equals four times the investment of B and the capital of B is twice that of C. The ratio of share of each in the profit is
A, B vkSj C ,d lkFk feydj dksbZ dkjksckj 'kq: djrs gSaA A ds }kjk fd,
x, fuos’k dk rhu xquk B ds fuos’k ds pkj xquk ds cjkcj gS vkSj B dh
iawth C dh iwath dh nksxquh gSa ykHk esa izR;sd ds fgLls dk vuqikr crkb,A
(a) 8 : 3 : 6 (b) 3 : 8 : 6 (c) 3 : 6 : 8 (d) 8 : 6 : 3
(SSC CGL 2016 Tier - II, 30.11.2016)
5. A and B start an enterprise together, with A as active partner. A
invests Rs. 4000 and Rs. 2000 more after 8 months. B invests Rs.
5000 and withdraws Rs. 2000 after 9 months. Being the active
partner, A takes Rs. 100 per month as allowance, from the profit.
What is the share of B if the profit for the year is Rs.6700?
A vkSj B nksuksa feydj ,d m|e 'kq: djrs gSa ftlls A lfØ; Hkkxhnkj ds
:Ik esa dk;Z djrk gSA A blesa 4000 :i, dk fuos’k djrk gS vkSj 8 eghus
ckn fQj 2000 :i, fuos’k djrk gSA B blesa 5000 :i, fuos’k djrk gS
ysfdu 9 eghus ckn blesa ls 2000 :i, fudky ysrk gSA lfØ; Hkkxhnkj
gksus ds ukrs A ykHk esa ls HkÙks ds :Ik esa izfrekg 100 :i, ysrk gSA ;fn
o"kZ esa 6700 :i, dk ykHk gqvk gS rks B dk 'ks;j D;k gksxk\
(a) Rs. 3350 (b) Rs. 3250
(c) Rs. 2700 (d) Rs. 2800
(SSC CGL 2016 Tier - II, 12.01.2017)
6. A, B and C invested Rs. 13,000, Rs. 17,000 and Rs. 5,000
respectively in a business. At the end of the year, they earn a profit
of Rs. 1400. B’s share of profit is
A, B vkSj C us fdlh dkjksckj esa Øe’k: 13,000 :] 17,000 :- vkSj 5,000
: dk fuos’k fd;kA o"kZ ds var esa] mUgsa 1,400 :- dk ykHk izkIr gqvkA B
ds ykHk dk fgLlk fdruk gS\
(a) Rs. 680 (b) Rs. 410
(c) Rs. 630 (d) Rs. 720
(SSC MTS, 30.04.2017)
7. Raman, Rohit and Raja are partners and invest in a business.
Raman invests 1/4 th of total and Rohit invests 1/3 rd of the total.
What is the ratio of the profit of Raman, Rohit and Raja
respectively?
jeu] jksfgr rFkk jktk lk>snkj gSa rFkk ,d O;kikj eas fuos’k djrs gSaA jeu
dqy fuos’k dk 1/4 Hkkx rFkk jksfgr dqy fuos’k dk 1/3 Hkkx fuos’k djrk
gSA Øe’k% jeu] jksfgr rFkk jktk ds ykHk dk vuqikr D;k gS\
(a) 4 : 3 : 1 (b) 3 : 4 : 4
(c) 3 : 4 : 5 (d) 4 : 3 : 5
(SSC CAPFs ASI & Delhi Police SI, 02.07.2017)
8. The ratio of investments of P and Q is 4 : 5. P invests for 1 year and Q
invests for 2 years. What is the ratio of profit of P and Q?
P rFkk Q ds fuos’k dk vuqikr 4 : 5 gSA P 1 o"kZ ds fy, fuos’k djrk gS rFkk
Q, 2 o"kZ ds fy, fuos’k djrk gSA P rFkk Q ds ykHk dk vuqikr D;k gS\
(a) 3 : 2 (b) 4 : 7
(c) 2 : 5 (d) 1 : 2
(SSC Delhi Police Constable, 05.12.2017)
9. A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after with drawing his investment. In the first year the business made a profit of Rs. 49,000. What is B’s share (in Rs.) of this profit?
A rFkk B us fdlh O;kikj esa 4 : 5 ds vuqikr esa fuos’k fd;kA 10 eghuksa ckn B us
viuk fuos’k okil ysdj O;kikj ls Hkkxhnkjh okil ys yhA igys o"kZ esa O;kikj
esa 49,000 dk ykHk gqvkA bl ykHk esa B dk fgLlk ¼:i, esa½ fdruk Fkk\
(a) 25000 (b) 20000 (c) 18000 (d) 22000
(SSC CGL 2017 Tier - II, 17.02.2018)
SSC Tier- I & II
(CGL/CPO/CHSL/MTS)
Previous year exam Questions
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10. A and B started a partnership business investing in the ratio of 3 : 8. C joined them after 4 months with an amount equal to 3/4 th of B. What was their profit (in Rs.) at the end of the year if C got Rs. 24,000 as his share?
A rFkk B us 3 : 8 ds vuqikr esa fgLlsnkjh djds O;kikj izkjaHk fd;kA 4 eghuksa ckn C vkSj B ds }kjk fuos’k dh xbZ jkf’k dh 3/4 jkf’k dk fuos’k djds
fctusl esa Hkkxhnkjh izkjaHk o"kZ ds var esa mudk ykHk fdruk ¼:i, esa½ ;fn C dks 24,000 :i, feyrs gSa\
(a) 120000 (b) 150000 (c) 90000 (d) 180000
(SSC CGL 2017 Tier - II, 17.02.2018) 11. A, B and C invest to start a restaurant. The total investment was Rs. 3
lakhs. B invested Rs. 50,000 more than A and C invested Rs. 25,000 less than B. If the profit at the end of the year was Rs. 14,400 then what is C’s share of the profit (in Rs.)?
A, B vkSj C ,d jsLVkjsUV 'kq: djus ds fy, fuos’k djrs gSaA dqy fuos’k 3 yk[k :i, FkkA B us A dh rqyuk esa 50,000 :i, dk vf/kd fuos’k fd;k
vkSj C us B ls 25,000 :i, dk de fuos’k fd;kA ;fn o"kZ ds var esa vftZr
ykHk 14,400 :i, Fkk] rks ml ykHk esa C dk fgLlk D;k gS ¼:i, esa½\
(a) 3600 (b) 4800 (c) 6000 (d) 7200
(SSC CGL 2017 Tier - II, 20.02.2018) 12. Two businessmen A and B invest in a business in the ratio 5 : 8.
They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A’s share of the profit was Rs. 87,500 then how much profit (in Rs.) did the business make?
nks O;kikfj;ksa A vkSj B us 5 : 8 ds vuqikr esa ,d dkjksckj esa fuos’k fd;kA
mUgksaus O;olk; esa dek, x, ykHk ds 30% /kujkf’k dk iqufuZos’k djus dk
fu.kZ; forfjr fy;kA 'ks"k ykHk dks mUgksaus Lo;a ds chp forfjr dj fy;kA
vxj ykHk esa A dk 'ks;j 87,500 :i, Fkk] rks ml dkjksckj esa fdruk ykHk
¼:i, esa½ gqvk\
(a) 227000 (b) 250000 (c) 375000 (d) 325000
(SSC CGL 2017 Tier - II, 20.02.2018) 13. Rohit started a business with Rs. 75000 and after some months
Simran Joined him with Rs. 60000. If the profit at the end of the year is divided in the ratio 3 : 1, then after how many months did Simran join Rohit?
jksfgr us 75000 :i, ds fuos’k ls ,d O;kikj 'kq: fd;k rFkk dqN eghus
i’pkr~ fleju] 60000 :i, ds lkFk mlls tqM+ tkrh gSA ;fn ,d o"kZ ds
var esa ykHk 3 : 1 ds vuqikr esa foHkkftr fd;k tkrk gS rks fleju] jksfgr ls
fdrus eghuksa Ik’pkr~ tqM+h gksxh\
(a) 7 (b) 6 (c) 8 (d) 4
(SSC CHSL Tier - I, 04.03.2018) 14. S, T and U start a business and their capitals are in the ratio of 3 :
4 : 6. At the end they receive the profit in the ratio of 1 : 2 : 3. What will be the respective ratio of time period for which they contribute their capitals?
S, T rFkk U us ,d O;kikj 'kq: fd;k rFkk mudh iw¡th 3 : 4 : 6 ds vuqikr
esa gSA var esa os 1 : 2 : 3 ds vuqikr esa ykHk izkIr djrs gSA muds }kjk
fuos’k dh xbZ iw¡th ds le; dh vof/k dk Øe’k% vuqikr D;k gksxk\
(a) 3 : 2 : 2 (b) 2 : 3 : 3 (c) 2 : 2 : 3 (d) 4 : 5 : 3
(SSC CHSL Tier - I, 05.03.2018)
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Solutions
Answer Key 1 d 2 c 3 d 4 d 5 c
6 a 7 c 8 c 9 a 10 c
11 b 12 d 13 a 14 b
1. (d)
Classical Approach:
B’s capital = Rs. x ∴ A’s capital = Rs. 2x
Ratio of equivalent capitals of A and B for 1 month
=
+
32 10 2
2
xx :
+
8 4
2
xx
= (20x + 3x) : (8x + 2x) = 23x : 10x = 23 : 10
2. (c)
Classical Approach:
Ratio of equivalent capitals of A, B and C for 1 month
= (16000 × 3 + 11000 × 9) : (12000 × 3 + 17000 × 9) : (21000 × 6)
= (48000 + 99000) : (36000 + 153000) : 126000
= 147000 : 189000 : 126000 = 49 : 63 : 42 = 7 : 9 : 6
Sum of ratios = 7 + 9 + 6 = 22
∴ Required difference=Rs. −
9 626400
22= Rs.
3 26400
22= 3600
3. (d)
Classical Approach:
A : C = 2 : 1 = 6 : 3 A : B = 3 : 2 = 6 : 4
∴ A : B : C = 6 : 4 : 3
∴ Sum of the terms of ratio = 6 + 4 + 3 = 13
∴ B’s share = Rs.
4157300
13 = Rs. 48400
❖ Neon Argument:
Apply digit sum for
4157300
13 = 7 (digit sum)
Only option (d) has digit sum 7
4. (d)
Classical Approach:
According to the question, 3A = 4B
⇒ =4 3
A B ⇒ A : B = 4 : 3
B’s capital is twice C’s capital.
∴ B
C =
2
1 B : C = 2 : 1
∴ A : B : C = 4 × 2 : 3 × 2 : 3 × 1 = 8 : 6 : 3
5. (c)
Classical Approach:
Ratio of the equivalent capital of A and B for 1 month
= (4000 × 8 + 6000 × 4) : (5000 × 9 + 3000 × 3)
= (32000 + 24000) : (45000 + 9000)
= 56000 : 54000 = 28 : 27
Sum of the terms of ratio = 28 + 27 = 55
A is an active partner.
Allowance got by A in 1 year = Rs. 1200
Remaining profit = Rs. (6700 – 1200) = Rs. 5500
∴ B’s share = Rs.
275500
55= Rs. 2700
6. (a)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 month
= 13000 × 12 : 17000 × 12 : 5000 × 12 = 13 : 17 : 5
Sum of the terms of ratio = 13 + 17 + 5 = 35
Total profit = Rs. 1400
∴ B’s share = Rs.
171400
35= Rs. 680
7. (c)
Classical Approach:
Investment by Raja=
− −
1 11
4 3=
− −
12 3 4
12 =
5
12 th part
∴ Required ratio of shares in the profit = 1
4 :
1
3 :
5
12
=
112
4 :
112
3 :
512
12 = 3 : 4 : 5
❖ Neon Approach (Thought Process):
There is only one option (d) where profit of B is twice of that of C.
❖ Neon Approach (Thought Process):
A : B : C = 13 : 17 : 5
Share of B will be a multiple of 17 option (a) satisfies.
❖ Neon Approach (Thought Process):
Let total capital = 12
Raman invested = =1
12 34
Rohit invested = =1
12 43
Raja invested = 12 – 3 – 4 = 5
Hence required ratio = 3 : 4 : 5
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8. (c)
Classical Approach:
Ratio of the shares of P and Q = Ratio of the equivalent capitals of P and Q for 1 month
4 × 12 : 5 × 24 = 2 : 5
9. (a)
Classical Approach:
Ratio of equivalent capitals of A and B for 1 month
= (4 × 12) : (5 × 10) = 24 : 25
Sum of the terms of ratio = 24 + 25 = 49
∴ B’s share = Rs.
2549000
49= Rs. 25000
10. (c)
Classical Approach:
A’s investment = Rs. 3x ⇒ B’s investment = Rs. 8x
C’s investment = Rs.
38
4x = Rs. 6x
Ratio of their equivalent capitals of 1 month
= (3x × 12) : (8x × 12) : (6x × 8)
= 36 : 96 : 48 = 3 : 8 : 4
Sum of the terms of ratio = 3 + 8 + 4 = 15
If the total annual profit be Rs. y, then 4
15
y = 24000
⇒ y = Rs.
24000 15
4= Rs. 90000
11. (b)
Classical Approach:
B ⇒ Rs. (A + 50000)
C ⇒ Rs. (A + 50000 – 25000) ⇒ Rs. (A + 25000)
∴ A + A + 50000 + A + 25000 = 30000
⇒ 3A = 300000 – 75000 = Rs. 225000
A = 225000
3 = Rs. 75000, B ⇒ Rs. 125000, C = Rs. 100000
∴ A : B : C = 75000 : 125000 : 100000 = 3 : 5 : 4
Sum of the terms of ratio = 3 + 5 + 4 = 12
∴ C’s share =
414400
12 = 4800
12. (d)
Classical Approach:
Ratio of the profits of A and B = 5 : 8
Sum of the terms of ratio = 5 + 8 = 13
Let the profit of the year be Rs. x.
∴ Profit distributed = Rs. 7
10
x
∴ A’s share = Rs.
5 7
13 10
x= Rs.
7
26
x
∴ 7
26
x = 87500 ⇒ x =
87500 26
7 = Rs. 325000
13. (a)
Classical Approach:
Let Simran remain in business for x months.
According to the question,
75000 12
60000 x =
3
1 ⇒
15
x = 3
⇒ 3x = 15 ⇒ x = 5 month
∴ Required answer = 12 – 5 = 7 months
14. (b)
Classical Approach:
: :
3 : 4 : 6
Pr 1 : 2 : 3
1 2 3: :
3 4 6
4 : 6 : 6
2 : 3 : 3
S T U
Capitals
ofit
Time
❖ Neon Approach (Thought Process):
B invested 50000 more than A and C invested 25000 less than B. It means C invested 25000 more than A. If we subtract 75000 from the total then remaining should be distributed equally among the three.
Each will get −
300000 75000
3 = 75000
Then, A : B : C = 75 : 125 : 100 = 3 : 5 : 4
C's share = 4
12 × 14400 = 4800
❖ Neon Approach (Thought Process):
A : B = 5 : 8
Using Aryan’s ratio
=
570%
100%1387500 x
x =
87500 100 13
5 70
Using digit sum
x = 2 × 1 × 4 × 2 × 4 = 1
Only option (d) has digit sum of 1
❖ Neon Approach (Thought Process):
Answer will be multiple of 13
Only option (d) satisfies.
❖ Neon Approach (Thought Process):
Rohit Simran
Capital 5 : 4
Time 12 : x
Profit 60 : 4x
3 : 1
4x = 20 x = 5
So, Simran invested his capital for 5 months
Hence, she joined after 12 - 5 = 7 months
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1. Mr. Shiv kumar started a business investing Rs. 25,000 in 1996. In 1997 he invested an additional amount of Rs. 10,000 and Mr. Rakesh joined him with an amount of Rs. 35,000. In 1998, Mr. Shiv kumar invested another additional amount of Rs. 10,000 and Mr. Suresh joined them with an amount of Rs. 35,000. What will be Rakesh’s share in the profit of Rs. 1,50,000 earned at the end of three years from the start of the business in 1996?
feLVj f’kodqekj us 1996 esa 25000 :- yxk O;kikj 'kq: fd;kA 1997 esa mlus ,d 10000 : dk /ku vkSj fuos’k fd;k] jkds’k us 35000 :- yxk
O;kikj esa lk>k fd;kA 1998 esa f’kodqekj us vius fuos’k esa 10000 :- vkSj
tksM+ fn;s rFkk lqjs’k us 35000 : yxk O;kikj esa lk>k fd;kA 1996 ls
rhu lky esa dqy ykHk 150000 esa jkds’k dk fgLlk Kkr djksA
(a) Rs. 70,000 (b) Rs. 50,000 (c) Rs. 45,000 (d) Rs. 75,000 (e) None of these/buesa ls dksbZ ugha
(SBI Bank PO Exam. 11.02.2001) 2. A, B and C started a business with investment in the ratio 5 : 6 : 8
respectively. After one year C withdrew 50% of his capital and A increased his capital by 60% of his investment. After two years in what ratio should the earned profit be distributed among A, B and C respectively?
A, B rFkk C esa Øe’k% 5 : 6 : 8 ds vuqikr esa /ku fuos’k dj ,d O;kikj 'kq:
fd;kA ,d lky ckn C us 50% /ku fudky fy;k rFkk A us vius fuos’k
fd;s /ku dk 60% c<+k fn;kA nks lky ckn muds ykHk dks A, B o C dks
fdl vuqikr esa ckaVk tkuk pkfg,\
(a) 2 : 3 : 3 (b) 4 : 3 : 2 (c) 13 : 12 : 12 (d) Cannot be determined/fu/kkZfjr ugha fd;k tk ldrk
(e) None of these/buesa ls dksbZ ugha
(Syndicate Bank PO Exam. 10.10.2004) 3. A and B started a partnership business investing some amount in
the ratio of 3 : 5. C joined them after six months with an amount equal to that of B; profit at the end of one year should be distributed in what proportion among A, B and C?
A rFkk B us ,d O;kikj esa 3 : 5 ds vuqikr esa /ku fuos’k fd;kA 6 eghus ckn C us B ds fgLls ds cjkcj /ku yxk O;kikj lk>k fd;kA lky ds var ds
ykHk dks A, B rFkk C esa fdl vuqikr esa ckaVk tkuk pkfg,A
(a) 6 : 10 : 5 (b) 3 : 5 : 5 (c) 3 : 5 : 2 (d) Cannot be determined/fu/kkZfjr ugha fd;k tk ldrk
(e) None of these/buesa ls dksbZ ugha
[LIC Assistant Administrative Officer (AAO) Exam. 24.04.2005]
4. Sunetra invested an amount of Rs. 50,000 to start a software
business. After six months Nikhil joined her with an amount of Rs. 80,000. At the end of 3 years they earned a profit of Rs. 24,500. What is Sunetra’s share in the profit?
lqus=k us :- 50,000 dh jkf’k fuos’k djds lkW¶Vos;j O;olk; 'kq: fd;kA
Ng eghus ds ckn :- 80,000 jkf’k ds lkFk fuf[ky mldk lg;ksxh cukA
rhu o"kZ ds var esa mUgksaus :- 24,500 ykHk vftZr fd;k] rks ml ykHk esa
lqus=k dk fgLlk fdruk Fkk\
(a) Rs. 14,000 (b) Rs. 9423 (c) Rs. 10,250 (d) Rs. 12,500 (e) None of these/buesa ls dksbZ ugha
[SBI Associate Bank PO Exam. 21.07.2002 & LIC Assistant Administrative
Officer (AAO) Exam. 2006]
5. A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was :
A, B, C us ,d O;kikj viuk fuos’k 1 : 3 : 5 ds vuqikr esa djds vkjEHk
fd;kA pkj ekg ds i'pkr~ A us mruk gh /ku fuos’k fd;k ftruk mlus
igys fd;k FkkA B rFkk C us vius fuos’k dk vk/kk okil ys fy;kA o"kZ ds
vUr esa mudk ykHk fdl vuqikr eas Fkk\
(a) 5 : 6 : 10 (b) 6 : 5 : 10 (c) 10 : 5 : 6 (d) 4 : 3 : 5
(United India Insurance Co. AAO Exam. 11.03.2007) 6. Raksha invested an amount of Rs. 60,000 to start a software
business. After six months, Kamal joined her with an amount of Rs. 90,000. After one year from the commencement of the business, Raksha put in an additional amount of Rs. 20,000. At the end of three years, they earned a profit of Rs. 71,20,000. What is Raksha’s share in the profit?
j{kk us ,d lkW¶Vos;j O;kikj 60000 :i;s esa 'kq: fd;kA 6 eghus ckn dey us 90000 : yxk O;kikj lk>k fd;kA ,d lky ckn j{kk us 20000 : vkSj fuos’k fd;sA 3 lky ckn mUgksaus 71,20,000 : dk ykHk izkIr fd;kA
ykHk esa j{kk dk fgLlk Kkr djksA
(a) Rs. 35,20,000 (b) Rs. 26,40,000 (c) Rs. 27,00,000 (d) Rs. 38,40,000 (e) None of these/buesa ls dksbZ ugha
(RBI Grade-B Officer Exam. 2008) 7. Ninad, Vikas and Manav enter into a partnership. Ninad invests
some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of Rs. 45,000 at the end of the year. What is Manav’s share in the profit?
fuukn] fodkl vkSj ekuo vkil esa Hkkxhnkjh djrs gSaA 'kq: esa fuukn dqN
jkf’k fuos’k djrk gSA 6 eghus ckn fodkl nqxquh jde dk fuos’k djrk gS
vkSj fuukn ds fuos’k djus ds 8 efgus ckn ekuo mlls rhu xquk jde dk
fuos’k djrk gSA o"kZ ds var esa mUgsa 45,000 :i, dk ykHk gksrk gSA ykHk
esa ekuo dk fgLlk fdruk gS \
(a) Rs. 25,000 (b) Rs. 15,000 (c) Rs. 12,000 (d) Rs. 9,000 (e) None of these/buesa ls dksbZ ugha
[SBI PO Preliminary (Tire-I) Exam. 27.04.2008] 8. Karan starts a business by investing Rs. 60,000. Six months later
shirish joins him by investing Rs. 1,00,000. At the end of one year from commencement of the business, they earn a profit of Rs. 1,51,800. What is Shirish’s share in the profit?
dju us 60000 :- esa ,d O;kikj 'kq: fd;kA 6 efgus ckn f’kfj’k us 100000 : yxk dj O;kikj esa lk>k dj fy;kA lky ds var esa mUgksaus 151800 : ykHk dek,A ykHk esa f’kfj’k dk fgLlk Kkr djsaA
(a) Rs. 55200 (b) Rs. 82800 (c) Rs. 62500 (d) Rs. 96600 (e) None of these/buesa ls dksbZ ugha
(UCO Bank PO Exam. 22.03.2009) 9. Prakash, Sunil and Anil started a business jointly investing Rs. 11
lakhs, Rs. 16.5 lakhs and Rs. 8.25 lakhs respectively. The profit earned by them in the business at the end of three years was Rs. 19.5 lakhs. What will be 50% of Anil’s share in the profit?
BANK PO/Clerk
(SBI/IBPS/RRB/NABARD/LIC)
Previous year exam Questions
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izdk'k] lquhy o vfuy us Øe’k% 11 yk[k] 16.5 yk[k rFkk 8.25 yk[k :
ls O;kikj 'kq: fd;kA rhu lky ckn dqy ykHk 19.5 yk[k : gSA ykHk esa
vfuy ds fgLls dk 50% Kkr djksA
(a) Rs. 4.5 lakhs (b) Rs. 2.25 lakhs (c) Rs. 2.5 lakhs (d) Rs. 3.75 lakhs (e) None of these/buesa ls dksbZ ugha
(Union Bank of India PO Exam. 21.06.2009) 10. Gina invests Rs. 48,000 to start a business. Four months later
Shrayon joins her by investing Rs. 62,000 and another two months later Deepika joins then both by investing Rs. 80,000. At the end of one year the business earns a profit of Rs. 20,661. What is Deepika’s share in the profit ?
fxuk us 48000 : yxkdj O;kikj 'kq: fd;kA pkj efgus ckn 'ks;ksu us 62000 :- yxk O;kikj esa lk>k dj fy;k rFkk vU; 2 efgus ckn nhfidk 80000 :- yxk dj O;kikj esa lk>k dj ysrh gSA ,d lky ds var esa
20661 :- dk ykHk gqvkA ykHk eas nhfidk dk fgLlk Kkr djksA
(a) Rs. 7,668 (b) Rs. 6,603 (c) Rs. 7,240 (d) Rs. 6,390 (e) None of these/buesa ls dksbZ ugha
(Union Bank of India PO Exam. 14.11.2010) 11. Mrudul invested an amount of Rs. 29,500 in order to start a business.
Shailash joined her 4 months later by investing an amount of Rs. 33,500. If the business earned a profit of Rs. 1,20,575 at the end of two years, what was Mrudul’s share of the profit ?
enqy ,d O;kikj esa 29500 :- O;kikj eas fuos’k fd;k 'kSys'k us 4 eghus ckn 33500 :- yxk O;kikj esa lk>k fd;kA ;fn 2 lky ds var esa 1,20,575 :- dk ykHk dek;k gks rks ykHk esa enqy dk fgLlk Kkr djksA
(a) Rs. 60,725 (b) Rs. 61,950 (c) Rs. 59,250 (d) Rs. 58,625 (e) None of these/buesa ls dksbZ ugha
(Indian Bank PO Exam. 02.01.2011) 12. A, B and C enter into a partnership. A invests some money at the
beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit is Rs. 27000. C’s share is:
A, B o C ,d lk>k djrs gSA 'kq:vkr esa A dqN /ku fuos’k djrk gS B 6 efgus ckn nqxquk /ku fuos’k djrk gS rFkk 8 eghus ckn C rhu xquk /ku fuos’k djrk gSA ;fn lky ds var esa 27000 : dk ykHk izkIr gks rks C dk
fgLlk Kkr djksA
(a) Rs. 9000 (b) Rs. 11250 (c) Rs. 10,800 (d) Rs. 8625
(General Insurance Corporation AAO Exam. 11.12.2011) 13. Tanvi started a business investing Rs. 45,000. After 8 months Anisha
joined her with a capital of Rs. 52,000. At the end of the year the total profit was Rs. 56,165. What is the share of profits of Anisha?
ruoh us 45000 :- esa ,d O;kikj 'kq: fd;kA 8 efgus ckn vfu’kk us 52000 :- ls mlds lkFk lfEefyr gks xbZA lky ds var esa 56165 :-
dk ykHk gks rks vfu’kk ds ykHk dk fgLlk Kkr djksA
(a) Rs. 21,450 (b) Rs. 24,440 (c) Rs. 27,635 (d) Rs. 31,765 (e) None of these/buesa ls dksbZ ugha
(Oriental Bank of Commerce PO Exam. 21.12.2008 & United India Insurance AO Exam. 26.05.2013)
14. Three men A, B and C start a business together. They invest Rs. 30000,
Rs. 24000 and Rs. 42000 respectively in the beginning. After 4 months, B took out Rs. 6000 and C took out Rs. 10000. They get a profit of Rs. 11960 at the end of the year. B’s share in the profit is
rhu vkneh A, B rFkk C us Øe’k% 30,000 24,000 rFkk 42,000 : yxkdj
O;kikj 'kq: fd;kA 4 eghus ds ckn B us 6000 :- fudky fy, rFkk C us 10000 : fudky fy,A lky ds var esa 11960 : ykHk izkIr gqvkA ykHk
ds var esa B dk fgLlk Kkr djksA
(a) Rs. 2700 (b) Rs. 2803 (c) Rs. 2900 (d) Rs. 2785 (e) None of these/buesa ls dksbZ ugha
(IBPS Bank PO/MT CWE-III Exam. 26.10.2013)
15. A, B, C started a shop by investing Rs. 27000, Rs. 81000 and Rs. 72000 respectively. At the end of one year, B’s share in total profit was Rs. 36000. What was the total profit?
A, B rFkk C us Øe’k% 27000, 81000 rFkk 72000 :- yxk ,d nqdku 'kq: dhA 1 lky ds var esa dqy ykHk esa B dk fgLlk 36000 :- FkkA dqy ykHk Kkr djsaA
(a) Rs. 108000 (b) Rs. 116000 (c) Rs. 80000 (d) Rs. 92000
[NICL (GIC) Administrative Officer Exam. 15.12.2013] 16. Geeta, Shweta and Sita started a business with investment of Rs.
4200, Rs. 8400 and Rs. 5400 respectively. In the end of the year, there was a profit of Rs. 24000. Sita invested 32% of her share in profit in the business. The remaining amount of profit with Sita is
xhrk] 'osrk ,oa lhrk us 4200, 8400 rFkk 5400 :- yxk O;kikj 'kq:
fd;kA ;fn lky ds var esa 24000 dk ykHk feykA lhrk us vius ykHk dk 32% O;kikj esa fuos’k dj fn;k lhrk dk 'ks"k fgLlk Kkr djksA
(a) Rs. 4986 (b) Rs. 4689 (c) Rs. 4886 (d) Rs. 4896 (e) None of these/buesa ls dksbZ ugha
[Corporation Bank Specialist Officer (Marketing) Exam. 22.02.2014]
17. A and B started a business by investing Rs. 21,600 and Rs. 14,400
respectively. After few months from the start of the business, C joined them by investing Rs. 18,000. If the total annual profit earned by them is Rs. 10,660, out of which C’s share is Rs. 2,120, after how many months from the start of business did C invest ?
A ,oa B us Øe’k% 21,600 :i, ,oa 14,400 :i, ds fuos’k ls ,d O;kikj vkjaHk
fd;kA dqN ekg i'pkr~ C, 18,000 :i, ds fuos’k ds lkFk mudk lk>snkj cu
x;kA ;fn dqy okf"kZd ykHk 10,600 :i, Fkk ftlesa C dk fgLlk 2,120 :i,
Fkk rks O;kikj ds vkjaHk ds fdrus ekg ckn C mudk lks>nkj cuk \
(a) 4 (b) 2 (c) 8 (d) 3 (e) 6 (NABARD Officer Grade A Online Exam. 03.08.2014)
18. A starts a business with an initial investment of Rs. 18000. After 4
months, B enters into the partnership with an investment of Rs. 24000. Again after two months C enters with an investment of Rs. 30000. If C receives Rs. 1845 in the profit at the end of the year, what is the total annual profit?
,d O;fDr A, 18000 :i, dh izkjafHkd ykxr ls viuk O;olk; vkjaHk
djrk gSA pkj ekg ckn B, 24000 :i, ds fuos’k ds lkFk O;olk; esa
'kkfey gks tkrk gSA fQj 2 ekg ckn C, 30000 :i, ds fuos’k ds lkFk
'kkfey gks tkrk gSA ;fn C dks o"kkZar ykHk esa ls 1845 :i, feyrk gS rks
dqy okf"kZd ykHk D;k gS\
(a) Rs. 6027 (b) Rs. 6327 (c) Rs. 6527 (d) Rs. 6080 (e) None of these/buesa ls dksbZ ugha
(Bank of Baroda PO Exam. 14.08.2014) 19. A, B and C started a business in partnership with investments of
Rs. 12000, Rs. 26000 and Rs. 32000 respectively. After 4 months A leaves. After 6 months B leaves and A joins with an amount equal to his earlier investment. After 10 months C leaves and B joins with his prior investment. At the end of the year they earn a profit of Rs. 53622. Find the share of B in the annual profit.
A, B ,oa C us feydj Øe’k% 12,000 :i,] 26,000 :i, ,oa 32,000 :i,
ds fuos’k ds lkFk lk>snkjh esa ,d O;kikj 'kq: fd;kA pkj ekg ckn A vyx gks tkrk gSA 6 ekg ckn B vyx gks tkrk gS ,oa vius iwoZ ds fuos’k
dh jkf’k ds lkFk A 'kkfey gks tkrk gSA 10 ekg ckn C NksM+ nsrk gS ,oa B viuh iwoZ dh jkf’k ds lkFk 'kkfey gks tkrk gSA o"kkZr esa dqy ykHk 53622 :i, gqvkA B dk ykHkka’k Kkr djksA
(a) Rs. 17221 (b) Rs. 17212 (c) Rs. 17222 (d) Rs. 18212 (e) None of these/buesa ls dksbZ ugha
(SIDBI Bank Officer Exam. 09.09.2014) 20. Two persons A and B start a business with investments of Rs.
24000 and Rs. 28000 respectively. After 4 months C also joined them with certain investment. Total profit at the end of the year was Rs. 19950. C’s share in profit was Rs. 7600. What was the C’s investment in the business?
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nks O;fDr A ,oa B Øe’k% 24000 :i, ,oa 28000 :i, ds fuos’k ls O;olk;
izkjaHk djrs gSaA 4 ekg ckn C ,d fuf’pr fuos’k ds lkFk O;olk; esa 'kkfey
gks tkrk gSA o"kkZar esa dqy ykHk 19950 :i, gS ftlesa C dk fgLlk 7600 :i, gSA C dk fuos’k Kkr djsaA
(a) Rs. 48000 (b) Rs. 45000 (c) Rs. 50000 (d) Rs. 40000 (e) None of these/buesa ls dksbZ ugha
(IBPS Bank PO/MT CWE-IV Exam. 18.10.2014) 21. A and B started a business by investing Rs. 17600 and Rs. 12800,
respectively. After 4 months from the start of the business, C joined them with a certain amount. If the total annual profit earned by them is Rs. 36080, out of which C's share is Rs. 11000. What was C's investment?
A vkSj B us Øe'k% 17600 vkSj 12800 :i;s fuos'k djds ,d O;olk;
'kq: fd;kA O;olk; dh 'kq:vkr ls 4 eghus ckn C us dqN jkf'k ds lkFk
'kkfey gqvkA ;fn muds }kjk dqy okf"kZd ykHk 36080 :i;s gS ftlesa C dk 'ks;j 11000 :i;s gS rks C dk fuos'k D;k Fkk\
(a) Rs. 25000 (b) Rs. 21000 (c) Rs. 15000 (d) Rs. 20000 (e) Rs. 18000
[NABARD (AM) 2015] 22. Pankaj started a business investing Rs. 42000. After 4 months,
Nitin joined him with a capital of Rs. 57000. At the end of the year, the total profit was Rs. 26000. What is the difference between the share of profits of Pankaj and Nitin?
iadt us 42000 :i;s ls ,d fuos'k 'kq: fd;kA 4 eghus ckn fufru 57000 :i;s ds lkFk mles 'kkfey gqvkA o"kZ ds var esa dqy ykHk 26000 :i;s FkkA iadt vkSj fufru ds ykHk ds 'ks;j esa fdruk varj gS\
(a) Rs. 1200 (b) Rs. 1400 (c) Rs. 1600 (c) Rs. 1800 (e) None of these
[IBPS (SO) Pre. 2015] 23. A starts a business with an investment of Rs. 16000. After 3
months B joins the partnership with an investment equal to 5/8 th of A’s investment and A withdraws Rs. 2000 from the business. After 3 months more C joins the partnership with an investment of Rs. 9000. In the end of the year, C gets Rs. 1026 as his share in profit. Find A’s share in the profit.
A us ,d O;kikj 16000 : yxk 'kq: fd;kA 3 eghus ckn B, A ds fuos’k dk 5/8 Hkkx fuos’k dj O;kikj lk>k djrk gS rFkk A 2000 :- O;kikj ls
fudky ysrk gSA vkSj 3 eghus ckn C 9000 : yxk dj O;kikj lk>k djrk
gSA lky ds var esa C dks 1026 : ykHk ds fgLls ds :i eas feyrs gS rks
ykHk esa A dk fgLlk Kkr djksA
(a) Rs.3300 (b) Rs. 3306 (c) Rs. 3406 (d) Rs. 3506 (e) None of these/buesa ls dksbZ ugha
[NIACL Administrative Officer (AO) Online Exam. 11.01.2015]
24. A and B started a business by investing Rs. 18,000 and Rs. 24,000
respectively. At the end of 4th month from the start of the business, C joins with Rs. 15,000. At the end of 8th month B quits at which time C invests Rs. 3000 more. At the end of 10th month B rejoins with the same investment. If profit at the end of the year is Rs. 12,005, what is B’s share in the profit?
A rFkk B us Øe’k% 18,000 :i, rFkk 24,000 :i, dk fuos’k djds O;kikj
vkjEHk fd;kA O;kikj vkjEHk gksus ds pkSFks ekg ds vUr esa C Hkh 15,000 :i, ds fuos’k ds lkFk O;kikj esa 'kkfey gks tkrk gSA vkBosa ekg ds vUr
esa B viuk fuos’k O;kikj esa ls fudky ysrk gS rFkk mlh le; C, 3000 :i, dk vfrfjDr fuos’k djrk gSA nlosa ekg ds vUr esa B vius iwoZ ds
fuos’k ds lkFk iqu% O;kikj esa 'kkfey gks tkrk gSA ;fn o"kZ ds vUr esa 12,005 :i, dk ykHk gks] rks ykHk esa B dk fgLlk D;k gS\
(a) Rs. 4,000 (b) Rs. 4,440 (c) Rs. 4,360 (d) Rs. 4,900 (e) Rs. 3,920
[LIC Assistant Administrative Officer (AAO) Online Exam. 22.03.2015]
25. A began a small business with a certain amount of money. After
four months from the start of the business, B joined the business with an amount which was Rs. 6,000 less than A’s initial investment. C joined the business after seven months from the start of business with an amount which was Rs. 2,000 less than A’s initial investment. At the end of the year total investment reported was Rs. 1,42,000. What will be A’s share in the profit, if B received Rs. 8,000 as profit share ? (in Rupees)
A us ,d fuf’pr /kujkf’k ds fuos’k ls ,d y?kq O;kikj vkjaHk fd;kA O;kikj
vkjaHk djus ds pkj ekg ckn O;kikj esa B 'kkfey gks x;k ftlus A ds izkjafHkd
fuos’k ls 6000 :i, de /ku yxk;kA C, 7 ekg ckn A ds fuos’k ls 2000 :i,
de ds fuos’k ds lkFk lk>hnkj cu x;kA o"kkZar esa vf/klwfpr dqy fuos’k 142000 :i, FkkA A dk ykHkka’k D;k gksxk ;fn B dk ykHkka’k 8000 :i, gks\
(a) Rs. 48,000 (b) Rs. 46,500 (c) Rs. 46,000 (d) Rs. 42,000 (e) Rs. 48,500
(BOB Junior Management Grade/Scale-I Exam. 18.04.2015)
26. A starts a small business by investing a certain sum of money. B joins
A after three months from the start of the business by investing 1.5 times A’s investment. Three months after B joined the business, C joins A and B by investing half of A’s investment. It was agreed that the working partner would receive 10% of the profit and the share according to the investment proportion from the rest of the profit. If total profit at the end of the year was Rs. 23750, how much will A, being the only working partner received?
A ,d fuf’pr /kujkf’k ls ,d O;kikj vkjaHk djrk gSA 3 ekg i'pkr~ B, A ds 1.5 xqus fuos’k ds lkFk O;kikj esa 'kkfey gks tkrk gSA iqu% vxys 3 ekg ckn] C, A ds fuos’k ls vk/kh jkf’k ds lkFk A ,oa B dk lk>snkj cu tkrk gSA ;g lgefr
cuh fd dk;Zdkjh ¼lfØ;½ lk>snkj dks ykHk dk 10% feysxk ,oa 'ks"k ykHk esa
ls fuos’k ds lekuqikfrd ykHk Hkh feysxkA o"kkaZr esa dqy ykHk 23750 :i, FkkA A tks fd vdsyk dk;Zdkjh lk>snkj gS] dks dqy ykHk D;k feysxk\
(a) Rs. 11,375 (b) Rs. 10,000 (c) Rs. 12,375 (d) Rs. 11,275 (e) Rs. 12,000
[OICL Specialist Officer (Finance) Exam. 03.05.2015]
27. A, B and C together start a business. The ratio of the investments
of A, B and C is 0.125 : 0.75 : 0.25. After 8 months A adds thrice amount of his earlier investment and C withdraws half of his earlier investment. At the end of the year, they earn a total profit of Rs. 5800. What is B’s share in the profit?
A, B ,oa C feydj ,d O;kikj vkjaHk djrs gSaA A, B ,oa C ds fuos’k dk
vuqikr Øe’k% 0.125 : 0.75 : 0.25 gSA 8 ekg ckn A vius iwoZ ds fuos’k dh
frxquh /kujkf’k vkSj fuos’k djrk gS] tcfd C vius fuos’k dk vk/kk fudky
ysrk gSA o"kkZar esa dqy 5800 :i, dk ykHk gksrk gSA B dk ykHkka’k D;k gS\
(a) Rs. 3400 (b) Rs. 3200 (c) Rs. 3600 (d) Rs. 3800 (e) None of these/bueas ls dksbZ ugha
[SBI PO Phase-I (Pre.) Online Exam. 20.06.2015] 28. A starts a business with a capital of Rs. 1500. B joins the business
6 months later from the start of the business and C joins the business 8 months later from the start of the business. End of the year their respective share in profit was in ratio of 5 : 3 : 3. What is the sum of amount put in the business by B and C together?
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A, 1500 :i, ds fuos’k ls ,d O;kikj vkjaHk djrk gSA O;kikj vkjaHk djus
ds 6 ekg ckn B ,oa 8 ekg ckn C O;kikj esa 'kkfey gks tkrs gSaA o"kkZar esa gq,
dqy ykHk esa muds ykHkka’k dk vuqikr Øe’k% 5 : 3 : 3 gSA B ,oa C dks
feykdj buds }kjk O;kikj esa fuosf’kr /kujkf’k D;k gS \
(a) Rs. 3300 (b) Rs. 3500 (c) Rs. 4200 (d) Rs. 4800 (e) Rs. 4500
[SBI PO Phase-I (Pre.) Online Exam. 21.06.2015] 29. A, B and C start a small business. A contributes 1/5 th of the total
capital invested in the business. B contributes as much as A and C together. Total profit at the end of the year was Rs. 5,200. What was C’s profit share ? (Rs.)
rhu O;fDr A, B ,oa C ,d y?kq O;kikj vkjaHk djrs gSaA A O;kikj esa dqy
fuos’k dk 1/5 Hkkx fuos’k djrk gSA B dk fuos’k A ,oa C dks feykdj fd,
x, dqy fuos’k ds cjkcj gSA o"kkZaar esa dqy ykHk 5200 :i, FkkA C dk
ykHkka’k D;k Fkk \ ¼:i, esa½
(a) 1510 (b) 2510 (c) 1500 (d) 2560 (e) 1560
[SBI PO Phase-I (Pre.) Online Exam. 27.06.2015] (IBPS RRBs Officer Scale-I & II CWE, 12.09.2015)
30. A, B and C started a business by investing Rs. 20,000 Rs. 28,000
and Rs. 36,000 respectively. After 6 months, A and B withdrew an amount of Rs. 8,000 each and C invested an additional amount of Rs. 8,000. All of them invested for equal period of time. If at the end of the year, C got Rs. 12,550 as his share of profit, what was the total profit earned?
A, B ,oa C us Øe’k% 20000 :i,] 28000 :i, ,oa 36000 :i, ds fuos’k
ls ,d O;kikj vkjaHk fd;kA Ng ekg i'pkr~ A ,oa B izR;sd us 8000 :i,
dh /kujkf’k fudky yh ,oa C us 8000 :i, dh dh vfrfjDr /kujkf’k dk
fuos’k fd;kA lHkh us leku vof/k ds fy, fuos’k fd;kA o"kkZar esa C us 12550 :i, dk ykHkka’k izkIr fd;kA dqy vftZr ykHk D;k Fkk\
(a) Rs. 25,100 (b) Rs. 26,600 (c) Rs. 24,300 (d) Rs. 22,960 (e) Rs. 21,440 31. A and B started a business with initial investments in the
respective ratio of 18 : 7. After four months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business?
A ,oa B us 18 : 7 ds laxr vuqikr esa vkjafHkd fuos’k ds lkFk ,d O;olk;
'kq: fd;kA O;olk; ds vkjaHk ds 4 ekg ckn A us 2000 :i, vf/kd ,oa B us 7000 :i, vf/kd dk fuos’k fd;kA ;fn o"kkZark esa vftZr ykHk dks muds
chp Øe’k% 2 : 1 esa forfjr fd;k x;k] rks A ,oa B dks feykdj mudk dqy
vkjafHkd fuos’k D;k Fkk\
(a) Rs. 50,000 (b) Rs. 25,000 (c) Rs. 1,50,000 (d) Rs. 75,000 (e) Rs. 1,25,000
(IBPS RRBs Officer Scale-I & II CWE, 13.09.2015) 32. A started a business. After 4 months from the start of the business,
B and C joined. The respective ratio between the investments of A, B and C was 4 : 6 : 5. If A’s share in annual profit was Rs. 250 more than C’s share, what was the total annual profit earned?
A us ,d O;kikj izkjaHk fd;kA 4 ekg ckn B ,oa C, A ds lkFk lk>snkj cu x,A A, B ,oa C ds fuos’k dk vuqikr Øe’k% 4 : 6 : 5 FkkA ;fn okf"kZd ykHk esa A dk ykHkka’k C ds ykHkka’k ls 250 :i, vf/kd gks] rks vftZr dqy okf"kZd ykHk D;k Fkk\
(a) Rs. 3740 (b) Rs. 3910 (c) Rs. 4250 (d) Rs. 4350 (e) None of these/buesa ls dksbZ ugha
[IBPS Bank PO/MT CWE-V (Prelim Exam 03.10.2015)] 33. A and B started a business with the investments in the ratio of 5 :
3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?
A ,oa B us Øe’k% 5 : 3 ds vuqikr esa fuos’k ls ,d lk>k O;kikj vkjaHk
fd;kA O;kikj ds vkjaHk ds 6 ekg i'pkr~ C Hkh lk>snkj cu x;k ,oa B rFkk C ds fuos’k dk vuqikr Øe’k% 2 : 3 FkkA ;fn muds }kjk vftZr dqy okf"kZd
ykHk 12300 :i, gks] rks B ,oa C ds ykHkka’k esa D;k varj Fkk\
(a) Rs. 900 (b) Rs. 800 (c) Rs. 600 (d) Rs. 400 (e) Rs. 700
[IBPS Bank PO/MT CWE-V (Prelim Exam 04.10.2015)] 34. A, B and C started a business with investments of Rs. 1,600, Rs.
2,000 and Rs. 1800 respectively. After 6 months from the start of the business, A invested Rs. 200 more. After 8 months from the start of the business, B and C invested additional amounts in the respective ratio of 4 : 1. If they received an annual profit of Rs. 3780 and A’s share in the profit is Rs. 1080, what was the additional amount that C invested?
A, B rFkk C us Øe’k% 1600, 2000 rFkk 1800 :- yxk O;kikj 'kq: fd;kA 6 eghus ds ckn A us 200 :- vkSj fuos’k fd;sA O;kikj ds 'kq:vkr ds 8 eghus ds ckn B o C us 4 : 1 esa vfrfjDr /ku fuos’k fd;k ;fn lky ds var
esa mUgksaus 3780 :- dek, rFkk A dk fgLlk 1080 : Fkk rks C us vfrfjDr
fdruk /ku fuos’k fd;kA
(a) Rs. 200 (b) Rs. 300 (c) Rs. 400 (d) Rs. 800 (e) Rs. 270
(RBI Officer Grade-B Phase-I Exam. 21.11.2015) 35. A, B and C start a business in partnership with respective initial
investments of Rs. 4200, Rs. 3600 and Rs. 2400. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio of 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit is Rs. 1200, what was the additional investment made by B?
A, B ,oa C Øe’k% 4200 :i,] 3600 :i, ,oa 2400 :i, ds fuos’k ls lk>k
O;kikj vkjaHk djrs gSaA O;kikj ds vkjaHk ls 4 ekg ckn] A, 1000 :i, dk
vfrfjDr fuos’k djrk gSA vkjaHk ls 6 ekg i'pkr~ B ,oa C Øe’k% 1 : 2 ds
vuqikr esa vfrfjDr /kujkf’k dk fuos’k djrs gSaA nl ekg ds var esa mugsa 2820 :i, dk dqy ykHk izkIr gksrk gSA ;fn A dk ykHkka’k 1200 :i, gks]
rks B }kjk fuosf’kr vfrfjDr /kujkf’k D;k Fkh\
(a) Rs. 420 (b) Rs. 400 (c) Rs. 440 (d) Rs. 450 (e) None of these/buesa ls dksbZ ugha
(RBI Officer Grade-B Phase-I Online Exam. 22.11.2015) 36. Mithilesh started a business investing Rs. 48000. After 7 months,
Vidya joined him with a capital of Rs. 56000. At the end of the year, the total profit was Rs. 5885. What is Vidya's share of the profit?
fefFkys'k us 48000 :i;s fuos'k djds ,d O;olk; 'kq: fd;kA 7 eghus ckn fo|k 56000 :i;s ds lkFk 'kkfey gks xbZA o"kZ ds var esa ykHk 5885 :i;s FkkA ykHk esa fo|k dk 'ks;j D;k Fkk\
(a) Rs. 3625 (b) Rs. 1650 (c) Rs. 1925 (d) Rs. 3960 (e) None of these
[IBPS (SO) Pre. 2016] 37. A, B and C started a business by investing Rs. 8400, Rs. 15600 and
Rs. 13200, respectively. All of them invested for equal period of time. If A's share of annual profit was Rs. 1960, what was the difference between B's share in annual profit and C's share in annual profit?
A, B vkSj C us 8400 :i;s] 15600 :i;s vkSj 13200 :i;s ls ,d O;olk;
'kq: fd;kA lHkh us leku le; ds fy, fuos'k fd;kA ;fn A dk okf"kZd ykHk
esa 'ks;j 1960 :i;s gS rks B vkSj C ds okf"kZd ykHk esa fdruk varj Fkk\
(a) Rs. 560 (b) Rs. 520 (c) Rs. 540 (d) Rs. 480 (e) Rs. 600
[SBI (PO) Pre. 2016] 38. A, B and C started a business with their investments in the ratio 1
: 2 : 4. After 6 months, A invested the half amount as before and B invested same amount as before while C withdrew1/4 th of his investment. find the ratio of their profits at the end of the year.
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A, B vkSj C us fuos'k dks 1 : 2 : 4 esa fuos'k djds ,d O;olk; 'kq: fd;kA
6 eghus ckn] A us igys ls vk/kh jkf'k vkSj B us leku jkf'k fuos'k dh]
tcfd C us mlds fuos'k dk 1/4 fudky fy;kA lky ds var esa muds
ykHk dk vuqikr D;k gS\
(a) 5 : 12 : 13 (b) 5 : 11 : 14 (c) 5 : 12 : 14 (d) 5 : 12 : 10 (e) None of the above
[IBPS (PO) Pre. 2016] 39. A and B started a business with investments of Rs. 3500 and Rs.
2500 respectively. After 4 months C joined with Rs. 6000. If the difference between C’s share and B’s share in the annual profit was Rs. 1977, what was the total annual profit?
A rFkk B us Øe’k% 3500 rFkk 2500 : yxk O;kikj 'kq: fd;kA 4 eghus ckn C us 6000 : yxk O;kikj lk>k fd;kA lky ds var esa C rFkk B ds ykHk ds
fgLls dk varj 1977 : gks rks lky ds var esa dqy ykHk Kkr djksA (a) Rs. 15,620 (b) Rs. 16,240 (c) Rs. 14,690 (d) Rs. 12,770 (e) Rs. 13,180
[IBPS Specialist Officer (IT) CWE Exam. 14.02.2016] 40. A started a business. After 4 months from the start of the business,
B and C joined. The respective ratio between the amounts invested by A, B and C was 6 : 11 : 12. If the C’s share in annual profit was Rs. 720 more than A’s share, what was the total annual profit earned?
A us ,d O;kikj vkjaHk fd;kA vkjaHk ls 4 ekg ckn B ,oa C O;kikj esa 'kkfey
gks x,A A, B ,oa C }kjk fuos’k dk vuqikr Øe’k% 6 : 11 : 12 FkkA ;fn okf"kZd ykHk esa C dk ykHkka’k A ds ykHkka’k ls 720 :i, vf/kd Fkk] rks dqy
okf"kZd ykHk D;k Fkk\
(a) Rs. 7680 (b) Rs. 7580 (c) Rs. 7860 (d) Rs. 8680 (e) None of these/buesa ls dksbZ ugha
(SIDBI Office Online Exam. 24.02.2016)
41. A and B start a business with respective investments of Rs. 10000
and Rs. 18000. After 8 months from the start of the business, B quits and C joins with Rs. 24000. If annual profit be Rs. 38250, what is A’s share in the profit?
A ,oa B us Øe’k% 10000 :i, ,oa 18000 :i, ds fuos’k ls ,d lk>k
O;kikj dk vkjaHk fd;kA vkjaHk ls 8 ekg i'pkr~ B O;kikj ls vyx gks tkrk
gS ,oa C, 24000 :i, ds fuos’k ls A dk lk>snkj cu tkrk gSA ;fn dqy
okf"kZd ykHk 38250 :i, gks rks A dk ykHkka’k D;k gS\
(a) Rs. 13000 (b) Rs. 11750 (c) Rs. 12750 (d) Rs. 12000 (e) None of these/buesa ls dksbZ ugha
[SBI PO Online (Pre.) Exam. 02.07.2016]
42. A started a business by investing Rs. 25000. At the end of 4th month from the start of the business B joined with Rs. 15000 and at the end of 6th month from the start of the business, C joined with Rs. 20,000. If A’s share in profit at the end of one year was Rs. 7,750 what was the total profit received?
A us 25000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA pkj ekg ds i'pkr~ B 15000 :i, ds fuos’k ls A dk lk>snkj cu x;k ,oa vkjaHk ls 6 ekg ckn C Hkh 20000 :i, ds fuos’k ds lkFk mudk lk>snkj cu x;kA ;fn o"kkaZr ds
ykHk esa A dk ykHkka’k 7750 :i, gks] rks dqy izkIr okf"kZd ykHk D;k Fkk\
(a) Rs. 13,950 (b) Rs. 13,810 (c) Rs. 13,920 (d) Rs. 12,780 (e) Rs. 14,040
[SBI PO Phase-I (Pre.) Online Exam. 03.07.2016] 43. A started a business with an investment of Rs. 28,000. After 5
months from the start of the business, B and C joined with Rs. 24,000 and Rs. 32,000 respectively and A withdrew Rs. 8000. If the difference between A’s share and B’s share in the annual profit is Rs. 2,400, what was the annual profit received?
A us 28000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA vkjaHk ls 5 ekg i'pkr~ B ,oa C Øe’k% 24000 :i, ,oa 32000 :i, ds fuos’k ls A ds lk>snkj cu x,
,oa A us O;kikj ls 8000 :i, dh /kujkf’k fudkyhA ;fn okf"kZd ykHk esa A ,oa B ds ykHkka’k dk varj 2400 :i, gks] rks izkIr okf"kZd ykHk D;k Fkk \
(a) Rs. 15,600 (b) Rs. 14,400 (c) Rs. 14,040 (d) Rs. 15,360 (e) Rs. 13,440
[SBI PO Phase-I (Pre.) Online Exam. 03.07.2016] 44. A started a business with an investment of Rs. 16,000. After 6 months
from the start of the business, B and C joined with Rs. 12,000 and Rs. 18,000 respectively and A invested an additional amount of Rs. 4000. If the difference between A’s share and B’s share in the annual profit is Rs. 6000, what was the annual profit received?
A us 16000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA vkjaHk ls 6 ekg ckn B ,oa C Øe’k% 12000 :i, ,oa 18000 :i, ds fuos’k ds lkFk A ds
lk>snkj cu x, ,oa mlh oDr A us 4000 :i, dh vfrfjDr /kujkf’k dk
fuos’k fd;kA ;fn okf"kZd ykHk esa A ,oa B ds ykHkka’k dk varj 6000 :i,
gks] rks okf"kZd ykHk D;k gS \
(a) Rs. 17,600 (b) Rs. 13,200 (c) Rs. 14,300 (d) Rs. 16,500 (e) Rs. 11,000
[SBI PO Online (Pre.) Exam. 10.07.2016] 45. A, B and C started a business with investments of Rs. 1500, Rs. 550
and Rs. 2400 respectively. After 8 months from the start of the business, A and C left and B invested an additional amount of Rs. 450. If difference between the share in annual profit received by B and the total annual profit was Rs. 13,000, what was the total annual profit received?
A, B ,oa C us Øe’k% 1500 :i,] 550 :i, ,oa 2400 :i, ds fuos’k ls ,d
lk>k O;olk; vkjaHk fd;kA vkB ekg i'pkr~ A ,oa C O;olk; ls vyx gks
x, ,oa B us 450 :i, dh vfrfjDr /kujkf’k dk fuos’k fd;kA ;fn okf"kZd
ykHk esa B ds ykHkka’k dqy okf"kZd ykHk ds e/; varj 13000 :i, Fkk] rks
izkIr dqy okf"kZd ykHk D;k Fkk\
(a) Rs. 16,500 (b) Rs. 18,150 (c) Rs. 13,200 (d) Rs. 19,800 (e) Rs. 16,750
[IBPS Bank PO/MT CWE-VI (Pre.) Exam. 16.10.2016] 46. A starts a business with Rs. 2500. After one month from the start
of the business, B joined with Rs. 4500 and A withdrew completely after eleven months from the start of the business. If the difference between A’s and B’s respective shares in the annual profit was Rs. 4800, what was the annual profit earned?
A, 2500 :i, ds fuos’k ls ,d O;kikj vkjaHk djrk gSA vkjaHk ls ,d ekg ckn B, 4500 :i, ds fuos’k ds lkFk mldk lk>snkj cu x;k rFkk vkjaHk ls 11 ekg ckn A us viuk laiw.kZ fuos’k fudky fy;kA ;fn o"kkZar dqy ykHk esa A ,oa B ds ykHkka’k dk varj 4800 :i, gks] rks dqy vftZr okf"kZd ykHk D;k Fkk\
(a) Rs. 14800 (b) Rs. 168000 (c) Rs. 14400 (d) Rs. 11400 (e) Rs. 15600
[IBPS RRBs Officer CWE (Pre.) 14.11.2016]
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47. A and B both start a small business with an investment of Rs. 3500 and Rs. 4000 respectively. At the end of few months from the start of the business, A withdrew from the business completely and B remained for the years. If the annual profit was divided between A and B in the respective ratio of 7 : 12, then after how many months from the start of the business, did A leave the business?
A ,oa B feydj Øe’k% 3500 :i, ,oa 4000 :i, ds fuos’k ls ,d y?kq
O;olk; vkjaHk djrs gSaA vkjaHk ls dqN ekg mijkar A O;olk; ls iw.kZr%
i`Fkd gks tkrk gSA ;fn o"kkZar dqy ykHk dks A ,oa B ds e/; Øe’k% 7 : 12 ds vuqikr esa ckaVk tkrk gS] rks O;olk; ds vkjaHk ls fdrus ekg ckn A ls
O;olk; NksM+k \
(a) Eight (b) Nine (c) Ten (d) Five (e) Seven
[IBPS RRBs Officer CWE (Pre.) 14.11.2016] 48. A starts a small business with Rs. 3600. At the end of few months
from the start of business, B joined the business with Rs. 4000. If the annual profit between A and B was divided between them in the respective ratio of 6 : 5, then B joined the business after how many months from the start of the business?
A 3600 :i, ds fuos’k ls ,d y?kq O;kikj vkjaHk djrk gSA vkjaHk ls dqN
ekg i'pkr~ B, 4000 :i, ds fuos’k ds lkFk A dk lk>snkj cu x;kA ;fn A ,oa B ds e/; okf"kZd ykHk Øe’k% 6 : 5 ds vuqikr esa ckaVk x;k] rks O;kikj
vkjaHk gksus ds fdrus ekg ckn B O;kikj esa 'kkfey gqvk\
(a) Four (b) Two (c) Six (d) Five (e) Three
[IBPS RRBs Officer CWE (Pre.) 14.11.2016] 49. A started a company and B and C joined him later during the first
year. The respective ratio of their investments was 4 : 2 : 3 and the period for which they invested was in the ratio 2 : 3 : 1. At the start of the second year A increased his investment by 50% while investments of B and C remained same and also for the same number of months as in the first year. If the total profit at the end of 2 years was Rs. 47,500 what was C’s share in the total profit?
A us ,d daiuh 'kq: dh rFkk B rFkk C igys o"kZ esa dqN le; ckn daiuh
esa lfEefyr gq,A muds fuos’kksa dk vuqikr Øe’k% 4 : 2 : 3 Fkk rFkk fuos’k ds le; dk vuqikr 2 : 3 : 1 gSA nwljs o"kZ ds 'kq: A us viuk fuos’k 50% c<+k;k tcfd B o C ds fuosf’kr /ku rFkk fuos’k ds le; igys o"kZ ds leku
jgsA ;fn 2 o"kZ ds var esa dqy ykHk 47500 :- gks rks dqy ykHk esa C dk
fgLlk fdruk Fkk\
(a) Rs.5500 (b) Rs. 6500 (c) Rs. 7500 (d) Rs. 8500 (e) None of these/buesa ls dksbZ ugha
(IBPS Bank PO/MT CWE Main Exam. 18.11.2016) 50. Raman and Nakul invested in a business. Raman invested Rs. 3000
and withdraw Rs. 1500 at the end of 8th month. Nakul invested Rs. 1000 initially and Rs. 3500 more at the end of 4th month but withdraw Rs. 1500 at the end of 7th month. At the year's end, they earned Rs. 1800. What should be Raman's share?
jeu vkSj udqy us ,d O;olk; 'kq: fd;kA jeu us 3000 :i;s fuos'k
fd;s vkSj 8osa eghus ds var esa 1500 :i;s fudkysA udqy us 'kq:vkr esa
1000 :i;s fuos'k fd;s vkSj 3500 :i;s pkSFks eghus ds var esa fuos'k
fd;s fdUrq 7osa eghus ds var esa 1500 :i;s fudky fy;sA o"kZ ds var esa
mUgksus 1800 :i;s dek,A jeu dk 'ks;j fdruk gS\ (a) Rs. 800 (b) Rs. 920 (c) Rs. 864 (d) Rs. 850 (e) Rs. 795
[IBPS RRB (OA) Pre. 2017] 51. A and B entered into a partnership, investing Rs. 16000 and Rs.
12000, respectively. After 3 months, 'A' with drew Rs. 5000, while 'B' invested Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21000. After a year, they obtained a profit of Rs. 26400. By what amount does the profit of B exceed the share of C?
A vkSj B us 16000 :i;s vkSj 12000 :i;s ds lkFk ,d lk>snkjh 'kq:
dhA rhu efgus ckn A us 5000 :i;s fudkys] tcfd B us 5000 :i;s
vkSj fuos'k fd;sA rhu eghus ckn C, 21000 :i;s ds lkFk O;olk; esa
'kkfey gqvkA ,d o"kZ ckn mUgsa 26400 :i;s dk ykHk gqvkA B dk ykHk
C ds 'ks;j ls fdrus izfr'kr vf/kd gS\ (a) Rs. 3600 (b) Rs. 3800 (c) Rs. 4600 (d) Rs. 4800 (e) Rs. 5000
[BOB (PO) Pre. 2017] 52. A and B started a business by investing Rs. 18,000 and Rs. 24,000
respectively. At the end of 4 months from the start of the business, C joins with Rs. 15,000. After 8 months, B quits and C invests Rs. 3000 more. At the end of 10 months B rejoins with the same investment. If the profit at the end of year is Rs. 12,005, what is B’s share of profit? (in Rs.)
A ,oa B us Øe’k% 18000 :i, ,oa 24000 :i, ds fuos’k ls ,d O;kikj
vkjaHk fd;kA vkjaHk ls 4 ekg mijkar C, 15000 :i, dk fuos’k dj mudk
lk>snkj cu x;kA iqu% 8 ekg ckn B lk>k NksM+ nsrk gS ,oa C vfrfjDr 3000 :i, dk fuos’k djrk gSA 10 ekg i'pkr~ B leku fuos’k ds lkFk
iqu% muds lkFk vk tkrk gSA ;fn o"kkZar ykHk 12005 :i, gks] rks B dk
ykHkka’k D;k gS \ ¼:i, esa½
(a) 5800 (b) 4700 (c) 4200 (d) 4900 (e) 5600
[Indian Bank PO (Pre.) Exam. 21.01.2017] 53. A, B and C invested Rs. 45,000, Rs. 90,000 and Rs. 90,000
respectively to start a business. At the end of two years, they earned a profit of Rs. 1,64,000. What will be B’s share in the total profit?
A, B ,oa C us Øe’k% 45,000 :i,] 90,000 :i, ,oa 90,000 :i, ds fuos’k
ls ,d lk>k O;kikj vkjaHk fd;kA nks o"kksaZ ds i'pkr~ mUgksaus 1,64,000 :i, dk ykHk vftZr fd;kA B dk ykHkka’k D;k gS\
(a) Rs. 56,000 (b) Rs. 36,000 (c) Rs. 72,000 (d) Rs. 64,000 (e) Rs. 65,600
[Indian Bank PO (Pre.) Exam. 21.01.2017] 54. A started a business with an investment of Rs. 12,000. At the end
of six months from the start of the business, A withdrew half of his initial investment and B and C invested in the ratio of 10 : 9 respectively. If A’s share in annual profit of Rs. 14,000 was Rs. 4500, what was the investment made by B?
A us 12,000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA vkjaHk ls 6 ekg ckn A us vius fuos’k dh vk/kh jkf’k okil ys yh ,oa B rFkk C Øe’k% 10 : 9 ds fuos’k ls mlds lk>snkj cu x,A ;fn dqy okf"kZd ykHk 14,000 :i,
esa A dk ykHkka’k 4500 :i, gks] rks B dk fuos’k D;k Fkk\
(a) Rs. 20,000 (b) Rs. 25,000 (c) Rs. 10,000 (d) Rs. 18,000 (e) Rs. 35,000
[IBPS SO (Agriculture) Exam. 29.01.2017] 55. A and B started a business with the investments in the ratio of 2 :
5 respectively. After four months from the start of the business, C joined and the respective ratio between the investments of B and C was 5 : 3. If the annual profit earned by them was Rs. 48,600, what was A’s share in the profit?
A ,oa B us Øe’k% 2 : 5 ds vuqikr esa fuos’k ls ,d lk>k O;olk; vkjaHk
fd;kA vkjaHk ls 4 ekg ckn C Hkh mudk lk>snkj cu x;k rFkk B ,oa C ds
fuos’k dk laxr vuqikr 5 : 3 FkkA ;fn muds }kjk vftZr okf"kZd ykHk 48600 :i, Fkk] rks A dk ykHkka’k D;k Fkk\
(a) Rs. 9,200 (b) Rs. 12,800 (c) Rs. 10,800 (d) Rs. 8,400 (e) Rs. 11,600
(NABARD Assistant Manager Online Exam. 25.03.2017) 56. A, B and C started a business with investments of Rs. 1200, Rs. 400
and Rs. 300 respectively. At the end of 6 months from the start of the business, A invested an additional amount of Rs. ‘x’. If the total
annual profit was 53
4times B’s share in annual profit, what was
the value of x?
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A, B ,oa C Øe’k% 1200 :i,] 400 :i, ,oa 300 :i, ds fuos’k ls ,d
lk>k O;kikj vkjaHk djrs gSaA vkjaHk ls 6 ekg ckn A, x :i, dh vfrfjDr
/kujkf’k dk fuos’k djrk gSA ;fn dqy okf"kZd ykHk B ds ykHkka’k dk 53
4xquk Fkk] rks x dk eku D;k Fkk\
(a) 1200 (b) 1000 (c) 900 (d) 800 (e) 850
[SBI PO Online (Pre.) Online Exam. 06.05.2017] 57. P and Q started a business by investing Rs. 15,000 and Rs. 18,000
respectively. After four months R joined them with a capital of Rs. 10,000. After two more months Q left the business with his capital. At the end of the year P got a share of Rs. 4,500 in the profit. What is the total profit earned?
P ,oa Q us Øe’k% 15,000 :i, ,oa 18,000 :i, ds fuos’k ls ,d O;kikj
vkjaHk fd;kA vkjaHk ls 4 ekg ckn R, 10,000 :i, ds fuos’k ls mudk lk>snkj
cu x;kA vxys 2 ekg ds ckn Q fuos’k lfgr O;kikj ls vyx gks x;kA o"kkZar
esa P dks 4500 :i, dk ykHkka’k feykA dqy okf"kZd ykHk D;k gS\
(a) Rs. 6800 (b) Rs. 7600 (c) Rs. 8600 (d) Rs. 9200 (e) Rs. 9600
[SBI PO Online (Pre.) Exam. 07.05.2017] 58. Tom started a business with Rs. 52000 and after 4 months Harry joined
him with Rs. 39000. At the end of the year out of the total profits Harry received total Rs. 20000 including 1/4th of the profits as commission for managing the business. What profit did Tom receive?
VkWe us 52000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;k ,oa 4 ekg i'pkr~ gSjh 39000 :i, ds fuos’k ls mldk lk>snkj cu x;kA o"kkZar esa gSjh dks
izkIr ykHkka’k 20000 :i, Fkk ftlesa mldk O;kikj izca/ku ds fy, dqy
ykHk dk ,d pkSFkkbZ deh’ku 'kkfey FkkA VkWe dk ykHkka’k D;k Fkk\
(a) Rs. 40000 (b) Rs. 20000 (c) Rs. 30000 (d) Rs. 50000 (e) None of these/buesa ls dksbZ ugha
(NICL A.O. Exam. 05.06.2017) 59. A, B and C jointly thought of engaging themselves in a business
venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit?
A, B ,oa C us feydj ,d lk>k O;kikj djus dh ;kstuk cukbZA ;g r;
gqvk fd A, 6500 :i, dk fuos’k 6 ekg ds fy, B, 8400 :i, dk fuos’k 5 ekg ds fy, ,oa C, 10000 :i, dk fuos’k 3 ekg ds fy, djsxkA A dk;Zdkjh lnL; Fkk ftls dqy ykHk dk 5% vfrfjDr feykA vftZr ykHk 7400 :i, FkkA B dk ykHkka’k D;k Fkk\
(a) Rs. 1900 (b) Rs. 2660 (c) Rs. 2800 (d) Rs. 3030 (e) Rs. 2900
(RBI Officer Grade-B Phase-I Exam. 17.06.2017) 60. A began a small business with a certain amount of money. After
four months from the start of the business, B joins the business with an amount which is Rs. 6,000 less than A’s initial investment. C joins the business after seven months from the start of business with an amount which is Rs. 2,000 less than A’s initial investment. At the end of the year total investment reported was Rs. 1,42,000, what will be A’s share in the profit, if B received Rs. 8,000 as profit share? (in Rupees)
A us ,d fuf’pr /kujkf’k fuos’k dj ,d y?kq O;kikj vkjaHk fd;kA vkjaHk
ls pkj ekg i'pkr~ B, A dk lk>snkj cu x;k ftlus A ds vkjafHkd fuos’k
ls 6000 :i, de /kujkf’k dk fuos’k fd;kA O;kikj ds vkjaHk ls 7 ekg ckn C O;kikj dk lk>snkj cu x;k ftlus A ds vkjafHkd fuos’k ls 2000 :i, de /kujkf’k dk fuos’k fd;kkA o"kkZar esa dqy fuos’k 142000 :i,
jgkA A dk ykHkka’k D;k gksxk ;fn B dk ykHkka’k 8000 :i, gks\ ¼:i, esa½
(a) 48,000 (b) 46,500 (c) 46,000 (d) 42,000 (e) 48,500
(NABARD Assistant Manager Grade ‘A’ Online Exam. 05.08.2017)
61. A and C started a business and B joined after 4 months from the start of the business. The respective ratio between the investment of A, B and C was 3 : 7 : 4. If B share in annual profit was Rs. 2000 more than that of A. What was the total amount of profit earned?
A ,oa C us ,d lk>k O;kikj 'kq: fd;k ,oa pkj ekg ckn B mudk lk>snkj
gks x;k A, B ,oa C ds fuos’k dk laxr vuqikr 3 : 7 : 4 FkkA ;fn okf"kZd ykHk
esa B dk fgLlk A ds fgLlk ls 2000 :i, vf/kd Fkk] rks dqy okf"kZd ykHk
D;k Fkk\
(a) Rs. 10000 (b) Rs. 20000 (c) Rs. 14000 (d) Rs. 15000 (e) Rs. 16000
(NABARD Assistant Manager Online Exam. 06.08.2017) 62. A started a business. After 4 months from the start of the business, B
and C joined. The respective ratio between the amounts invested by A, B and C was 6 : 11 : 12. If C’s share in annual profit was Rs. 720 more than A’s share, what was the total annual profit earned?
A us ,d O;kikj vkjaHk fd;kA vkjaHk ls 4 ekg ckn B ,oa C mlds lk>snkj
cu x,A A, B ,oa C }kjk fuosf’kr /kujkf’k;ksa dk laxr vuqikr 6 : 11 : 12 FkkA ;fn dqy okf"kZd ykHk esa C dk fgLlk A ds fgLls ls 720 :i, vf/kd
Fkk] rks vftZr dqy okf"kZd ykHk D;k Fkk \
(a) Rs. 7660 (b) Rs. 7680 (c) Rs. 7860 (d) Rs. 7880 (e) None of these
(NABARD Assistant Manager Online Exam. 06.08.2017) 63. A starts a business with an initial investment of Rs. 1200. x
months after the start of business, B joined A with an initial investment of Rs. 1500. If total profit was Rs. 1950 at the end of the year and B’s share of profit was Rs. 750, find the value of x.
A us 1200 :i, ds vkjafHkd fuos’k ls ,d O;kikj vkjaHk fd;kA O;kikj
vkjaHk djus ds x ekg ckn B, 1500 :i, ds fuos’k ds lkFk A dk lk>snkj
cu x;kA ;fn ,d o"kZ ds ckn dqy ykHk 1950 :i, gks ,oa B dk ykHkka’k 750 :i, gks] rks x dk eku D;k gS \
(a) 5 months (b) 6 months (c) 8 months (d) 9 months (e) 7 months
(IBPS RRBs Officer CWE [(Prelim Exam.) 09.09.2017] 64. Ravi starts a business with Rs. 45000. After a certain period of
time he is joined by Mohan who invests Rs. 30000. At the end of the year they divide the profit in the ratio 9 : 4. After how many months did Mohan join Ravi?
jfo 45000 :i, ds fuos’k ls ,d O;kikj vkjaHk djrk gSA vkjaHk ls dqN
le; ckn eksgu 30000 :i, ds fuo s’k ds lkFk mldk lk>snkj cu x;kA
o"kkZar esa mu yksxksa us ykHk dks Øe’k% 9 : 4 ds vuqikr esa ckaVk \ fdrus
ekg ckn eksgu us jfo ds O;kikj esa Hkkxhnkjh dh \
(a) 4 (b) 5 (c) 6 (d) 2 (e) 7 (IBPS RRBs Officer CWE (Prelim Exam.) 10.09.2017)
65. A started a business with an investment of Rs. 2800. After some
months B joined with investment of Rs. 3600 and 2 months after B joined, C joined with an investment of Rs. 5600. If A’s and C’s share in annual profit was equal, for how many months did C invest?
A us 2800 :i, ds fuos’k ds ,d O;kikj vkjaHk fd;kA dqN ekg ckn B 3600 :i, ds fuos’k ds lkFk mldk lk>snkj cu x;k ,oa B ds O;kikj ds
'kkfey gksus ds 2 ekg ckn C 5600 :i, ds fuos’k ds lkFk A ,oa B dk
lk>snkj cu x;kA ;fn okf"kZd ykHk esa A ,oa C dk ykHkka’k leku Fkk] rks C us fdrus ekg ds fy, fuos’k fd;k \
(a) 8 (b) 4 (c) 6 (d) 5 (e) 9 (IBPS Bank PO/MT CWE-VII (Prelim Exam 14.10.2017)
66. A, B and C invested in a business in the ratio 6 : 8 : 9. B invested for
a period whose numerical value is 112.5% of B’s investment but A and C invested for one year. If profit of B at the end of the year is Rs. 16750 then what is the share of C in the annual profit ? (in Rs.)
A, B ,oa C us ,d O;kikj esa Øe’k% 6 : 8 : 9 ds vuqikr esa fuos’k fd;kA B ds
fuos’k dh vof/k dk la[;kRed eku B ds fuos’k ¼vuqikr½ dk 112.5% gS
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tcfd A ,oa C izR;sd us ,d o"kZ ds fy, fuos’k fd;kA ;fn o"kkZar esa B dk
ykHkka’k 16750 :i, gks] rks C dk ykHkka’k D;k gS \ ¼:i, esa½
(a) 20225 (b) 22125 (c) 25225 (d) 25125 (e) 23125
(IBPS Bank PO/MT CWE-VII (Prelim Exam 15.10.2017) 67. A and B started a business with Rs. 72000 and Rs. 60000
respectively. After 4 months, C replaced B with x% of B’s capital. After 1 year C’s share of profit out of the total profit of Rs. 48000 is Rs. 11200. Find the value of x.
A ,oa B us Øe’k% 72000 :i, ,oa 60000 :i, ds fuos’k ls ,d O;kikj
vkjaHk fd;kA vkjaHk ls 4 ekg ckn] B dk LFkku C ys ysrk gS ,oa B dh iwath
ds x% ds lerqY; iawth dk fuos’k djrk gSA ,d o"kZ ckn 48000 :i, ds
dqy ykHk esa C dk ykHkka’k 11200 :i, gSA x dk eku Kkr dhft,A
(a) 63 (b) 70 (c) 72 (d) 68 (e) 71 (IBPS RRBs Officer CWE (Main Exam.) 05.11.2017)
68. A and B started a business B’s investment was 2.5 times that of A.
The respective ratio between the time period for which A invested and that for which B invested was 3 : 1. If the total investment made by A and B together was Rs. 28,000 and the annual profit earned was Rs. 2500 less than A’s investment, what was the difference between A’s share and B’s share in the annual profit?
A ,oa B us ,d O;olk; vkjaHk fd;kA B dk fuos’k A ds fuos’k dk 2.5 xquk FkkA A ,oa B ds fuos’k dh vof/k dk laxr vuqikr 3 : 1 FkkA ;fn A ,oa B dks feykdj
dqy fuos’k 28000 :i, Fkk ,oa dqy vftZr okf"kZd ykHk A ds fuos’k ls 2500 :i, de Fkk] rks okf"kZd ykHk esa A ,oa B ds ykHkka’kksa dk varj D;k Fkk \
(a) Rs. 200 (b) Rs. 800 (c) Rs. 500 (d) Rs. 400 (e) Rs. 650
(Canara Bank PO Exam. 04.03.2018) 69. A starts a certain business with Rs. 4000. Three months from the
start of the business, B joins with an amount which is Rs. 500 more than that invested by A. Nine months from the start of the business, B leaves and C joins with an amount, which is Rs. 1500 more than that invested by B. If B’s share from the annual profit is Rs.18000, what is the annual profit earned?
A, 4000 :i, dh /kujkf’k ls ,d O;kikj vkjaHk djrk gSA vkjaHk ls 3 ekg ckn B, A ds fuos’k ls 500 :i, vf/kd dh /kujkf’k ds lkFk O;kikj esa
'kkfey gks tkrk gSA O;kikj ds vkjaHk ls 9 ekg ckn B vyx gks tkrk gS ,oa C, B dh /kujkf’k ls 1500 :i, vf/kd fuos’k ls O;kikj esa 'kkfey gks tkrk
gSA ;fn dqy okf"kZd ykHk esa ls B dk ykHkka’k 18000 :i, gks] rks dqy
vftZr okf"kZd ykHk D;k gS \
(a) Rs. 64,000 (b) Rs. 72,000 (c) Rs. 62,000 (d) Rs. 54,000 (e) Rs. 48,000
(IDBI Bank PO Exam. 29.04.2018) 70. A, B and C enter into a partnership. A invests Rs. 8000 for the
whole year, B puts in Rs. 12000 at the first and increasing to Rs. 16000 at the end of 4 months, whilst C puts in at first Rs. 16000 but withdraw Rs. 4000 at the end of 9 months. Find the profit of A at the end of year, if the total profit is Rs. 22600?
A, B vkSj C us ,d lk>snkjh dhA A us 8000 :i;s iwjs o"kZ ds fy, fuos'k
fd;s] B us igys 12000 :i;s j[ks vkSj bUgsa 4 eghus ds var esa 16000 :i;s rd c<+k;kA tcfd C us igys 16000 :i;s j[ks vkSj 9 eghus ds
var esa 4000 :i;s fudkysA ;fn dqy ykHk 22600 :i;s gS rks o"kZ ds
var esa A dk ykHk fdruk gS\
(a) Rs. 4800 (b) Rs. 4600 (c) Rs. 4750 (d) Rs. 4300 (e) None of these
[IBPS (Clerk) Mains 2016] 71. The ratio of investment of A, B, C and D in a business is 2 : 3 : 5 : 7. A and
B started the business initially, while C and D joined the business after 4 months. After 1 yr, the profit of C is equal to the average of the profit of A and D i.e., Rs. 12000. Then, find the share of B.
A, B, C vkSj D dk ,d O;olk; esa fuos'k dk vuqikr 2 : 3 : 5 : 7 gSA A vkSj B 'kq:vkr esa O;olk; 'kq: djrs gSA tcfd C vkSj D, 4 eghus ckn O;olk; 'kq: djrs gSA ,d o"kZ ckn C dk ykHk A vkSj D ds lkFk ds vkSlr
ds cjkcj gSA rks B dk 'ks;j Kkr djks\ (a) Rs. 10000 (b) Rs. 10800 (c) Rs. 12000 (d) Rs. 11000 (e) None of these
[IBPS RRB (OA) Mains 2016] 72. P and Q entered into partnership investing Rs. 12000 and Rs. 16000,
respectively. After 8 months, R also joins the business with a capital of Rs. 15000. The share of R in a profit of Rs. 45600 after 2 yr.
P vkSj Q us 12000 :i;s vkSj 16000 :i;s ls ,d lk>snkjh 'kq: dhA
8 eghus ckn R, 15000 :i;s dh i¡wth ds lkFk O;olk; esa 'kkfey gqvkA
2 o"kZ ckn 45600 :i;s ds ykHk esa R dk 'ks;j D;k gksxk\
(a) Rs. 24000 (b) Rs. 16000 (c) Rs. 12000 (d) Rs. 11400 (e) None of these
[IBPS RRB (OA) Mains 2016] 73. A started a business, B and C joined him in the 1st year, they
invested in the ratio of 5 : 4 : 7 respectively and the period for which they invested was in the ratio of 4 : 3 : 2, respectively. In the 2nd year A doubled the investment, B and C continued with the same investment and they invested for the same number of month as they did in 1st year. The total profit in 2 yr was Rs. 14000. What is B's share of profit?
A us ,d O;olk; 'kq: fd;kA B vkSj C ml igys o"kZ esa 'kkfey gks x;sA
muds fuos'k dk vuqikr 5 : 4 : 7 gS vkSj muds fuos'k ds le; dk vuqikr
4 : 3 : 2 gSA nwljs o"kZ B us fuos'k nqxquk dj fn;kA B vkSj C us fuos'k ogh j[kk rFkk mUgksus tSlk izFke o"kZ esa Fkk mrus gh le; ds fy, fuos'k fd;kA
f}rh; o"kZ esa dqy ykHk 14000 :i;s FkkA B ds ykHk ds 'ks;j D;k gS\
(a) Rs. 2500 (b) Rs. 3000 (c) Rs. 350 (d) Rs. 4000 (e) None of these
[IBPS (PO) Mains 2016] 74. A and B started business with Rs. 600 and Rs. 500, respectively. After
4 months, C replaces B with X% of B's capital. After 1 yr, C's share of profit out of the total profit 24000 is 5600. Find the value of X.
A vkSj B us 600 :i;s vkSj 500 :i;s ls O;olk; 'kq: fd;kA 4 eghus ckn C, B ds LFkku ij B dh jkf'k ds x% ls vk;kA ,d o"kZ ckn 24000 :i;s dqy ykHk esa C dk 'ks;j 5600 :i;s gSA x dk eku Kkr djks\
(a) 60 (b) 70 (c) 75 (d) 66 (e) 65 [IBPS RRB (OS) Mains 2017]
75. Satish and Bhavya entered into a partnership with Rs. 15000 and
Rs. 18000, respectively. Abhishek joined them after 'x' months and contributes Rs. 24000 and Bhavya left 'x' month before the end of year. If they share profit at the end of the year. If they share profit in the ratio 10 : 9 : 12. Find the value of 'x'.
lrh'k vkSj HkO;k us 15000 :i;s vksj 18000 :i;s ds lkFk ,d lk>snkjh
'kq: dhA vfHk"ksd 'x' eghus ckn mlesa 'kkfey gqvkA vkSj 24000 :i;s
dk ;ksxnku fd;kA HkO;k us o"kZ ds var ls 'x' eghus igys NksM+ fn;kA ;fn
os o"kZ ds var esa ykHk 'ks;j djrs gSA ;fn muds ykHk dk 'ks;j 10 : 9 : 12 vuqikr esa gS rks x dk eku Kkr djks\
(a) 4 months (b) 6 months (c) 9 months (d) 3 months (e) 8 months
[IBPS (Clerk) Mains 2017] Directions (Q. Nos. 76 and 77) A, B and C invested Rs. 900 Rs. 1600
and Rs. 700 respectively in a business venture. After end of the first quarter they invested additional amount in the ratio of 2 : 5 : 3. Then, after end of the second quarter A, B and C invested additional amount in the ratio of 4 : 3 : 4. Again after end of the 3rd quarter they invested additional amount in the ratio of 7 : 6 : 7. They invested the whole amount for one year and the profit earned in the business is proportional to the investment and the period of investment.
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funsZ'k ¼iz'u la[;k 76 vkSj 77½ A, B vkSj C us 900 :i;s] 1600 :i;s vkSj
700 :i;s fuos'k fd;sA igyh frekgh ds var esa mUgksus vfrfjDr jkf'k 2 : 5 : 3 ds vuqikr esa fuos'k dhA fQj nwljh frekgh ds var esa A, B vkSj C us vfrfjDr jkf'k 4 : 3 : 4 ds vuqikr esa fuos'k dhA iqu% rhljh frekgh ds var esa mUgksus 7 : 6 : 7 ds vuqikr esa fuos'k fd;kA mUgksus iwjh jkf'k ,d o"kZ ds fy, fuos'k dh vkSj
O;olk; esa dek;k x;k ykHk fuos'k vkSj fuos'k dh vof/k ds lekuqikrh gSA
[SBI (PO) Mains 2017] 76. If they had invested additional amount at the end of each quarter
as same ratio as they had invested after end of the first quarter, then find the profit of B at the end of one year if the total profit at the end of the year is Rs. 125000.
;fn mUgksus izR;sd frekgh ds var esa mlh vuqikr esa vfrfjDr jkf'k dk
fuos'k fd;k Fkk] ftl vuqikr esa mUgksus igyh frekgh ds var ds ckn
fuos'k fd;k FkkA rks ,d o"kZ ds var esa B dk ykHk D;k gksxk] ;fn o"kZ ds
var esa dqy ykHk 125000 :i;s gSA
(a) Rs. 75000 (b) Rs. 62500 (c) Rs. 125000 (d) Rs. 37500 (e) Rs. 65000 77. If the sum of the total amount invested by A and B in the year is
Rs. 9000 and that of B and C is Rs. 10500, then find the total amount invested by all of them for only 2nd quarter?
;fn A vkSj B ds }kjk dqy fuosf'kr jkf'k dk ;ksx 9000 :i;s gS rFkk B o C dk
10500 :i;s gS rks muds }kjk dsoy nwljh frekgh rd fuosf'kr dqy jkf'k D;k gS\
(a) Rs. 16500 (b) Rs. 17000 (c) Rs. 17500 (d) Rs. 18500 (e) Rs. 18000
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Solutions
Answer Key 1 b 2 c 3 a 4 e 5 a 6 a 7 b 8 e 9 b 10 d 11 b 12 a 13 e 14 b 15 c 16 d 17 e 18 a 19 b 20 a 21 d 22 e 23 b 24 d 25 a 26 a 27 c 28 e 29 e 30 a 31 a 32 c 33 a 34 e 35 b 36 c 37 a 38 c 39 e 40 a 41 c 42 a 43 b 44 d 45 a 46 b 47 a 48 e 49 c 50 c 51 a 52 d 53 e 54 a 55 c 56 d 57 d 58 b 59 d 60 a 61 c 62 b 63 b 64 a 65 c 66 d 67 b 68 c 69 c 70 a 71 b 72 c 73 b 74 b 75 d 76 b 77 b
1. (b)
Classical Approach:
Shiv kumar’s equivalent capitals
= (25000 × 3) + (10000 × 2) + (10000 × 1) = 105000
Rakesh’s equivalent capitals = 35000 × 2 = 70000
Suresh’s equivalent capital = 35000 × 1 = 35000
Total profit of Rs. 150000 will be distributed in the ratio of their equivalent capitals.
Shiv Kumar : Rakesh : Suresh = 105 : 70 : 35 = 3 : 2 : 1
Rakesh’s share in the total profit
=+ +
2
3 2 1× 150000 = Rs. 50000
Alternatively:
Shiv Kumar : Rakesh : Suresh
(1996 – 1997) 25000 : 0 : 0
(1997 – 1998) + 35000 : +35000 : + 0
(1998 – 1999) + 45000 : +35000 : +35000
105 : 70 : 35
3 : 2 : 1
Rakesh ‘s profit = 2
6× 150000 = 50000
2. (c)
Classical Approach:
Total equivalent capital of A for 2 years
= 5x × 12 + 8x × 12 = 156x
Total equivalent capital of B for 2 years = 6x × 24 = 144x
Total equivalent capital of C for 2 years
= 8x × 12 + 4x × 12 = 144x
∴ Required ratio = A : B : C = 156x : 144x : 144x = 13 : 12 : 12
3. (a)
Classical Approach:
A : B = 3 : 5 Let the amount = Rs. x
then, A’s share =3
8
x ⇒ B’s share =
5
8
x
After six months C’s amount =5
8
x
Ratio of profit sharing =3
8
x×12 :
5
8
x×12 :
5
8
x×6 = 6 : 10 : 5
4. (e)
Classical Approach:
The ratio of capital invested by each partner i.e. Sunetra and Nikhil for 3 years in order to get the profit is :
36 × 50000 : 30 × 80000 = 3 : 4
∴ Share of Sunetra out of Rs. 24500 = Rs. 3
7× 24500 = 10,500
5. (a)
Classical Approach:
Let their initial investments be Rs. x, Rs. 3x and Rs. 5x respectively, Then, A : B : C
= (x × 4 + 2x × 8) : (3x × 4+3
2
x×8) : (5x × 4+
5
2
x× 8)
= (4x + 16x) : (12x + 12x) : (20x + 20x) =20x : 24x : 40x = 5 : 6 : 10
6. (a)
Classical Approach:
Equivalent capital of Raksha for 3 years
❖ Neon Approach (Thought Process):
A : B : C
Capital 3 : 5 : 5
Time 2 : 2 : 1
Profit 6 : 10 : 5
❖ Neon Approach (Thought Process):
C invested same capital as that of B but for half of the
time so profit of C will be half of B.
Only option (a) satisfies.
❖ Neon Approach (Thought Process):
Sumetra : Nikhil = 3 : 4
So, answer will be a multiple of 3
Only option (b) satisfies.
❖ Neon Approach (Thought Process):
A : B : C
First 4 months 1 : 3 : 5
Last 8 months 2 : 3
2 :
5
2
Profit 1+4 : 3+3 : 5+5
5 : 6 : 10
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= Rs. (60000 × 1 + 80000 × 2)
= Rs. (60000 + 160000) = Rs. 220000
Equivalent capital of Kamal for 3 years = Rs. 90000 × 21
2
= Rs.
590000
2= Rs. 225000
Ratio of capitals = 220000 : 225000 = 44 : 45
Sum of ratios = 44 + 45 = 89 Total profit = Rs. 7120000
∴ Raksha’s share = Rs.
447120000
89= Rs. 3520000
7. (b)
Classical Approach:
Let Ninad invest Rs. x. ∴ Vikas’s investment = Rs. 2x
Manav’s investment = Rs. 3x
Ratio of the equivalent capitals for 1 year of Ninad, Vikas and Manav respectively= x × 12 : 2x × 6 : 4 × 3x = 1 : 1 : 1
Clearly, the profit will be shared equally.
∴ Manav’s share = Rs. 1
3× 45000 = Rs. 15000
8. (e)
Classical Approach:
Ratio of the profit = Ratio of the equivalent capitals of Karan and Shirish for 1 year
= 60000 × 12 : 100000 × 6 720000 : 600000 = 6 : 5
∴ Shirish’s share in the profit = Rs.
5151800
11= Rs. 69000
9. (b)
Classical Approach:
Ratio of the equivalent capitals of Prakash, Sunil and Anil for 3 years
= 11 × 36 : 16.5 × 36 : 8.25 × 36
= 4 : 6 : 3
Anil’s share in the profit = Rs. ( )
+ +
319.5
4 6 3lakh
= Rs. 4.5 lakhs
∴ 50% of Rs. 4.5 lakh = Rs. 2.25 lakh
10. (d)
Classical Approach:
Ratio of the profits of Gina, Shrayon and Deepika
= 48000 × 12 : 62000 × 8 : 80000 × 6
= 48 × 12 : 62 × 8 : 80 × 6 = 36 : 31 : 30
Sum of ratios = 36 + 31 + 30 = 97
∴ Deepika’s share = Rs.
3020661
97= Rs. 6390
11. (b)
Classical Approach:
Ratio of the equivalent capitals of Mrudul and Shailash for 2 years
= 29500 × 24 : 33500 × 20
= 354 : 335
Sum of the ratios = 354 + 335 = 689
∴ Mrudul’s share = Rs.
354120575
689 = Rs. 61950
❖ Neon Approach (Thought Process):
Taking the ratio of capitals only.
Raksha : Kamal
6 × 1 + 8 × 2 : 9 ×5
2
22 : 45
2
44 : 45
Raksha's share = 44
89× 7120000
Digit sum of Raksha's share is 1. Only option (a) has digit sum of 1.
❖ Neon Approach (Thought Process):
Vikas invested double the capital than Ninad but for half the time so, profit of Ninad and Vikas will be equal.
Manav invested thrice the capital than Ninad but for one third of the time so, profit of Ninad and Manav will also be equal.
Hence, Profit will be divided in 1 : 1 : 1
Manav's share = 1
3 × 45000 = 15000
❖ Neon Approach (Thought Process): Shirish invested 100000 for 6 months can be considered
as an investment of 50000 for 12 months. So, Karan : Sirish = 60000 : 50000 = 6 : 5
Required Sirish's share = 5
11 × 151800 = 6 (digit sum)
None of the options have digit sum of 6.
❖ Neon Approach (Thought Process):
Since time period of investment is same ∴ Profit will be shared in the ratio of investments.
Parkash : Sunil : Anil
11 : 16.5 : 8.25
1 : 1.5 : .75
4 : 6 : 3
Required answer = 50% of 3
13of 19.5
= 1 3
2 13× 19.5 = 2.25
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12. (a)
Classical Approach:
Ratio of profit = x × 12 : 2x × 6 : 3x × 4 = 1 : 1 : 1
∴ C’s share =1
3× 27000 = Rs. 9000
13. (e)
Classical Approach:
Ratio of the earned profit = Ratio of the equivalent capitals of Tanvi and Anisha for 1 year
= 45000 × 12 : 52000 × 4 45 × 3 : 52 = 135 : 52
Sum of ratios = 135 + 52 = 187
∴ Anisha’s share = Rs.
5256165
187= Rs. 15618
14. (b)
Classical Approach:
Ratio of equivalent capitals for 1 year
= 30000 × 12 : (24000 × 4 + 18000 × 8) : (42000 × 4 + 32000 × 8)
= 360000 : 240000 : 424000
= 90 : 60 : 106 = 45 : 30 : 53
Sum of ratios = 45 + 30 + 53 = 128
∴ B’s share =30
128× 11960 ≈ Rs. 2803
15. (c)
Classical Approach:
Ratio of profit = 27000 : 81000 : 72000
= 3 : 9 : 8
If total profit be Rs. x, then
B’s share =9
20
x= 36000
⇒ x =36000 20
9= Rs. 80000
16. (d)
Classical Approach:
Share of profit = Geeta : Shweta : Sita
= 4200 : 8400 : 5400 = 7 : 14 : 9
Sita’s share = ( )+ +
9
7 14 9× 24000 =
9
30× 24000 = Rs. 7200
Remaining amount after investing 32%
= 7200 × (100 - 32)% =7200 68
100= Rs. 4896
17. (e)
Classical Approach:
Let C joined the partnership after x months.
According to the question,
(A + B)’s share in profit
= Rs. (10600 - 2120) = Rs. 8480
∴ ( )
( )
+
−
21600 14400 12
18000 12 x=
8480
2120= 4
⇒ ( )
−
36000 12
18000 12 x= 4
⇒ −
24
12 x= 4
⇒ 12 – x = 6 ⇒ x = 12 – 6 = 6 months
18. (a)
Classical Approach:
Ratio of equivalent capitals for 1 year
= (18000 × 12) : (24000 × 8) : (30000 × 6)
= (18 × 12) : (24 × 8) : (30 × 6)
= 18 : 16 : 15
Sum of ratios = 18 + 16 + 15 = 49
∴ If the total profit be Rs. x, then C’s profit =15
49x
∴15
49
x= 1845 ⇒ x =
1845 49
15= Rs. 6027
19. (b)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 month
= (12000 × 4 + 12000 × 6) : (26000 × 6 + 2 × 26000) : 32000 × 10
❖ Neon Approach (Thought Process):
Mrudal : Shailesh
Capital 295 : 335
59 : 67
Time 24 : 20
6 : 5
Profit 354 : 335
Mrudul's share = 354
689× 120575
digit sum of this expression is 3. option (b) & (c) satisfy. But Mrudul's share is more than 50%. Hence (b) is correct.
❖ Neon Approach (Thought Process):
B invested double the capital than A but for half the time so, profit of A and B will be equal.
C invested thrice the capital than A but for one third of the time so, profit of A and C will also be equal.
Hence, Profit will be divided in 1 : 1 : 1
C's share = 1
3 × 27000 = 9000
❖ Neon Approach (Thought Process):
A : B : C = 18 : 16 : 15
A + B + C = 49
Hence total profit will be a multiple of 7. only option (a) satisfies.
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= 120000 : 208000 : 320000 = 120 : 208 : 320 = 15 : 26 : 40
Sum of ratios = 15 + 26 + 40 = 81
∴ B’s share =26
81× 53622 = Rs. 17212
20. (a)
Classical Approach:
C’s investment = Rs. x thousand
∴ Ratio of their equivalent capitals for 1 year
= 12 × 24000 : 12 × 28000 : 8 × x × 1000 = 36 : 42 : x
Sum of ratios = 36 + 42 + x = 78 + x
⇒ +
19950
78
x
x= 7600 ⇒ 1995x = 760 × 78 + 760x
⇒ 1995x – 760x = 760 × 78 ⇒ 1235x = 59280
⇒ x =59280
1235= Rs. 48 thousand
21. (d)
Classical Approach:
Suppose C's investment was Rs. x.
The, ratio in invests = 17600 × 12 : 12800 × 12 : x × 8
= 26400 : 19200 : x
C's share =
's investmentC
Total investment× Total profit
⇒ 11000 = ( )
+ +
36080
26400 19200
x
x
⇒ 11000 × (45600 + x) = 36080x
⇒ (45600 + x)25 = 82x ⇒ 1140000 + 25x = 82x
⇒ 57x = 1140000 x = Rs. 20000
22. (e)
Classical Approach:
As per question, ∵ Capital investment of Pankaj for 1 yr
= 42000 × 12 = Rs. 504000
Capital investment of Nitin for 1 yr = 57000 × 8 = Rs. 456000
∴ Required difference = ( )
( )
−
+
504000 456000
504000 456000× 26000
= 48000
960000 × 26000 = Rs. 1300
23. (b)
Classical Approach:
B’s investment = 16000 5
8= Rs. 10000
Ratio of equivalent capitals of A, B and C for 1 year
= (3 × 16000 + 9 × 14000) : (10000 × 9) : (9000 × 6)
= (48000 + 126000) : 90000 : 54000
= 174000 : 90000 : 54000
= 174 : 90 : 54 = 29 : 15 : 9 9 ≡ 1026
∴ 29 ≡1026
9× 29 = Rs. 3306
24. (d)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year
= 18000 × 12 : 24000 × 10 : (15000 × 4 + 18000 × 4)
= 18000 × 12 : 240000 : (60000 + 72000)
= 18000 × 12 : 240000 : 132000 = 18 : 20 : 11
Share of the terms of ratio = 18 + 20 + 11 = 49
B’s share = Rs.
2012005
49= Rs. 4900
❖ Neon Approach (Thought Process):
A : B : C = 15 : 26 : 40
share of B will be a multiple of 13. Only option (b) satisfies.
❖ Neon Approach (Thought Process):
Let C invested 4000x
A : B : C Capital 6 : 7 : x
Time 3 : 3 : 2 Profit 18 : 21 : 2x
=+
2 7600
39 2 19950
x
x
2x × 19950 = 7600 (39 + 2x)
Applying digit sum
3x = 3 + 8x
5x = 6
Digit sum of x should be 3. Digit sum of 4000x is also 3. Only option (a) satisfies.
❖ Neon Approach (Thought Process):
Let C invested 1600x
A : B : C Capital 11 : 8 : x
Time 3 : 3 : 2 Profit 24 : 33 : 2x
=+
2 11000
57 2 36080
x
x
Applying digit sum = =+
2 2
3 2 8
x
x
16x = 6 + 4x ⇒ 3x = 6
Digit sum of x can be 2, 5 or 8.
Digit sum of 1600x can be 2, 5 or 8.
only option (d) satisfies.
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25. (a)
Classical Approach:
Let initial investment of A be Rs. x.
Total investment at the end of year
= 12x + 8 (x - 6000) + 5 (x - 2000)
= 12x + 8x + 5x – 48000 – 10000 = Rs. (25x - 58000)
∴ 25x – 58000 = 142000 ⇒ 25x = 142000 + 58000
= 200000 ⇒ x =200000
25= Rs. 8000
Ratio of profit sharing for A, B and C
= (12 × 8000) : (8 × 2000) : (5 × 6000)
= 96000 : 16000 : 30000 = 48 : 8 : 15
∴ B’s share = Rs. 8000
∴ A’s share =48
8× 8000 = Rs. 48000
26. (a)
Classical Approach:
Let A’s investment be Rs. x. B’s investment = Rs. 1.5x
and, C’s investment = Rs. 2
x
Ratio of shares = x × 12 : 1.5x × 9 : 2
x× 6
24 : 27 : 6 = 8 : 9 : 2
Sum of ratios = 8 + 9 + 2 = 19
Total profit = Rs. 23750
Share of working partner A
= Rs.
+
10 8 23750 9023750
100 19 100
= Rs. (2375 + 9000) = Rs. 11375
27. (c)
Classical Approach:
Initial investment of A, B and C respectively
= Rs. 125, Rs. 750 and Rs. 250 (let)
Ratio of the their equivalent capitals for 1 year
= (125 × 8 + 500 × 4) : (750 × 12) : (250×8 +125×4)
= (1000 + 2000) : (9000) : (2000 + 500)
= 3000 : 9000 : 2500 30 : 90 : 25 = 6 : 18 : 5
Sum of ratios = 6 + 18 + 5 = 29
∴ B’s share =18
29× 5800 = Rs. 3600
28. (e)
Classical Approach:
B’s investment = Rs. x.
C’s investment = Rs. y.
Ratio of equivalent capitals of A and B for 1 month
=
=
12 1500 5
6 3x⇒ =
3000 5
3x ⇒ x =
3000 3
5= Rs. 1800
Again ratio of equivalent capitals of A and C =
= 5
3 ⇒ 5y = 1500 × 9 ⇒ y =
1500 9
5= Rs. 2700
∴ x + y = Rs. (1800 + 2700) = Rs. 4500
29. (e)
Classical Approach:
Total investment = Rs. x (let)
A’s investment = Rs. 5
x
(B + C)’s investment = x -5
x = Rs.
4
5
x … (i)
B’s investment =5
x+ C’s investment
∴ (B - C)’s investment = Rs.5
x … (ii)
On adding both equations,
∴ 2 × B’s investment = Rs.
+
4
5 5
x x= Rs. x
B’s investment = Rs. 2
x
From equation (i)
1500 12
4
y
❖ Neon Approach (Thought Process):
A : B : C = 8 : 9 : 2
B + C will get = 11
19of 90% of 23750
= =11 9
23750 1237519 10
A will get = 23750 – 12375 = 11375
❖ Neon Approach (Thought Process):
A : B : C = 6 : 18 : 5
Share of B will be a multiple of 9. Only option (c) satisfies.
❖ Neon Approach (Thought Process):
A : B : C
Time 12 : 6 : 4
6 : 3 : 2
Profit 5 : 3 : 3
Capital 5
6 :
3
3 :
3
2
5 : 6 : 9
using aryan's ratio
=5 15
1500 x ⇒ x = 4500
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C’s investment = Rs.
−
4
5 2
x x = Rs.
−
8 5
10
x x= Rs.
3
10
x
Ratio of profit sharing = 3
: :5 2 10
x x x= 2 : 5 : 3
∴ C’s share =3
10× 5200 = Rs. 1560
30. (a)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 month = (20000 × 6 + 12000 × 6) : (28000 × 6 + 20000 × 6) : (36000 × 6 + 44000 × 6)
= (120 + 72) : (168 + 120) : (216 + 264)
= 192 : 288 : 480 = 2 : 3 : 5
If the total profit at the end of the year be Rs. x, then
C’s share =5
10× x = Rs.
2
x
∴2
x= 12550 ⇒ x = 2 × 12550 = Rs. 25100
31. (a)
Classical Approach:
A’s initial investment = Rs. 18 x B’s initial investment = Rs. 7x
According to the question,
( )
( )
+ + =
+ +
18 4 18 2000 8 2
7 4 7 7000 8 1
x x
x x ⇒
( )
( )
+ + =
+ +
8 18 2000 2 2
7 7 7000 2 1
x x
x x
⇒ 18x + 36x + 4000 = 14x + 28x + 28000
⇒ 54x – 42x = 28000 – 4000 ⇒ 12x = 24000
⇒ x =24000
12= 2000
∴ Total initial investment of A and B = 25x
= 25 × 2000 = Rs. 50000
32. (c)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year = (12 × 4) : (6 × 8) : (5 × 8) = 48 : 48 : 40 = 6 : 6 : 5
Sum of ratios = 6 + 6 + 5 = 17
If total annual profit be Rs. x, then
A’s share – C’s share = 250 ⇒ −6 5
17 17
x x= 250
⇒ 17
x= 250 ⇒ x = 17 × 250 = Rs. 4250
33. (a)
Classical Approach:
A : B = 5 : 3 = 10 : 6
B : C = 2 : 3 = 6 : 9
∴ A : B : C = 10 : 6 : 9
Ratio of the equivalent capitals of A, B and C for 1 month = 10x × 12 : 6x × 12 : 9x × 6 = 20 : 12 : 9
Sum of the terms of ratio = 20 + 12 + 9 = 41
∴ Difference between the shares of B and C
=−
12 9
41× 12300 = Rs. 900
34. (e)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year
= (1600 × 6 + 1800 × 6) : [(2000 × 8) + (2000 + 4x)4] : [1800 × 8 + (1800 + x) × 4]
= (9600 + 10800) : (16000 + 8000 + 16x) : (14400 + 7200 + 4x)
= 20400 : 24000 + 16x : 21600 + 4x
= 5100 : 6000 + 4x : 5400 + x
∴ Sum of the terms of ratio
= 5100 + 6000 + 4x + 5400 + x = 16500 + 5x
∴ +
5100
16500 5x× 3780 = 1080 ⇒
+
1700 378
16500 5x= 36
⇒
+
340 378
3300 x= 36 ⇒ 3300 + x = 3570
⇒ x = 3570 – 3300 = Rs. 270
❖ Neon Approach (Thought Process):
A : A + B + C
1 : 5
B : A + C
1 : 1
B : A + B + C
1 : 2
A : A + B + C : B
1 : 5
2 : 1
2 : 10 : 5
C's share = 3
10× 5200 = 1560
❖ Neon Approach (Thought Process):
A : B : C
6 : 6 : 5
using Aryan's ratio
=1 17
250 x ⇒ x = 4250
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35. (b)
Classical Approach:
Let additional investment of B and C respectively after 6 months = Rs. x and Rs. 2x
Ratio of the equivalent capitals of A, B and C for 1 month
= (4200 × 4 + 5200 × 6) : 3600 × 6 + (3600 + x) × 4 : 2400 × 6 + (2400 + 2x) × 4
= (16800 + 31200) : (21600 + 14400 + 4x) : (14400 + 9600 + 8x)
= 48000 : 36000 + 4x : 24000 + 8x
Sum of the terms of ratio = 108000 + 12x
According to the question,
+
48000
108000 12x× 2820 = 1200⇒ 108000 + 12x = 2820 × 40
⇒ 108000 + 12x = 112800 ⇒ 12x = 112800 – 108000 = 4800
⇒ x =4800
12= Rs. 400
36. (c)
Classical Approach:
Investment of Mithilesh
= 48000 × 12 = Rs. 576000
and investment of Vidya = 56000 × 5 = Rs. 280000
∵ Ratio of their investments
= 576000 : 280000 = 72 : 35
Hence, share of Vidya in profit =
+
35 5885
72 35 = Rs. 1925
37. (a)
Classical Approach:
Ratio of annual profit of A, B and C
= 8400 : 15600 : 13200 = 7 : 13 : 11
Let the profit of A, B and C is 7x, 13x and 11x, respectively.
∵ 7x = 1960 ∴ x =1960
7= 280
Hence, the difference between the annual profit of B and C = 13x - 11x = 2x = 2 × 280 = Rs. 560
38. (c)
Classical Approach:
Capital ratio of A, B and C
=
+
36 6
2
xx : (2x × 6 + 4x × 6) : (4x × 6 + 3x × 6)
= (6x + 9x) : (12x + 24x) : (24x + 18x)
= 15x : 36x : 42x = 5 : 12 : 14
⇒ Ratio of profits
39. (e)
Classical Approach:
Ratio of equivalent capitals of A, B and C for 1 month
= (3500 × 12) : (2500 × 2) : (6000 × 8)
= 35 × 12 : 25 × 12 : 60 × 8 = 7 : 5 : 8
Sum of the terms of the ratio =7 + 5 + 8 = 20
According to the question,
If the total annual profit be Rs. x, then difference of shares of C and
B = Rs. 1977 ⇒
−
8 5
20 20x = 1977
⇒ 3
20
x= 1977 ⇒ 3x = 1977 × 20 ⇒ x =
1977 20
3= Rs. 13180
40. (a)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 month = 6x × 12 : 11x × 8 : 12x × 8 = 9 : 11 : 12
Sum of the terms of ratio = 9 + 11 + 12 = 32
If total annual profit be Rs. y, then
−12 9
32 32
y y= 720 ⇒
3
32
y= 720 ⇒ y =
720 32
3= Rs. 7680
41. (c)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year
= 10000 × 12 : 18000 × 8 : 24000 × 4
= 10 × 3 : 18 × 2 : 24 = 5 : 6 : 4
Sum of the terms of ratio = 5 + 6 + 4 = 15
∴ A’s share = Rs.
538250
15= Rs. 12750
❖ Neon Approach (Thought Process):
Mithilesh : Vidya
48 × 12 : 56 × 5
72 : 35
share of vidya will be a multiple of 7. only option (c) satisfies.
❖ Neon Approach (Thought Process):
A : B : C
84 : 156 : 132
7 : 13 : 11
using Aryan's ratio
=7 2
1960 x ⇒ x = 560
AMF (Aryan multiplication factor) = 28
❖ Neon Approach (Thought Process):
A : B : C = 7 : 5 : 8
using Aryan's ratio
=3 20
1977 x ⇒ x = 13180
❖ Neon Approach (Thought Process):
A : B : C = 9 : 11 : 12
using Aryan's ratio
=3 32
720 x ⇒ x = 7680
Or
Only option (a) is multiple of 12.
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42. (a)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year = 12 × 25000 : 8 × 15000 : 6 × 20000
= 12 × 25 : 8 × 15 : 6 × 20 = 5 : 2 : 2
Sum of the terms of ratio = 5 + 2 + 2 = 9
If the total profit at the end of year be Rs. x, then
A’s share = Rs. 7750 ⇒ 5
9
x= 7750
⇒ x =7750 9
5= Rs. 13950
43. (b)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year
= (28000 × 5 + 20000 × 7) : (24000×7) : (32000 × 7)
= (28 × 5 + 20 × 7) : (24 × 7) : (32 × 7)
= (140 + 140) : (24 × 7) : (32 × 7)
= 280 : 24 × 7 : 32 × 7 = 5 : 3 : 4
Sum of the terms of ratio = 5 + 3 + 4 = 12
Total annual profit = Rs. x (let)
According to the question,
−
5 3
12× x = 2400 ⇒
6
x= 2400 ⇒ x = 6 × 2400 = Rs. 14400
44. (d)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year
= (16000 × 6 +20000×6) : (12000 × 6) : (18000 × 6)
= (96 + 120) : 72 : 108 = 216 : 72 : 108 = 6 : 2 : 3
Sum of the terms of ratio = 6 + 2 + 3 = 11
Using Aryan's ratio =4 6000
11 x x = 16500
45. (a)
Classical Approach:
Ratio of equivalent capitals of A, B and C for 1 month
= 1500 × 8 : (550 × 8 + 1000 × 4) : 2400 × 8
= 12000 : (4400 + 4000) : 19200
= 120 : 84 : 192 = 30 : 21 : 48
Sum of the terms of ratio = 30 + 21 + 48 = 99
Let the total annual profit be Rs. x.
According to the question,
x -21
99x = 13000 ⇒
−99 21
99
x x= 13000
⇒ 78x = 13000 × 99 ⇒ x =13000 99
78= Rs. 16500
46. (b)
Classical Approach:
Ratio of equivalent capitals of A and B for 1 year
= 2500 × 11 : 4500 × 11 = 5 : 9
Sum of the terms of ratio = 5 + 9 = 14
Using Aryan's ratio =4 4800
14 x x = 16800
47. (a)
Classical Approach:
Let A leave the partnership after x months.
Ratio of the shares of A and B in the profit
= 3500 × x : 4000 × 12 = 7x : 96
∴ =7 7
96 12
x⇒
8
x= 1 ⇒ x = 8 months
Alternatively:
A : B
Investment 7 : 8
Profit 7 : 12
Time 7
7 :
12
8
2 : 3
So, A joined for 8 months
48. (e)
Classical Approach:
Let B join A in the partnership after x months.
❖ Neon Approach (Thought Process):
A's share = 5
15 × 38250
1
3 rd of 38250 near to 12000 but not exact 12000 i.e.
somewhat greater than 12000.
Only option (d) satisfies.
See it as: 38250 = 36000 + 2250
Where 2250 = 75 + 75 + 75
❖ Neon Approach (Thought Process):
Ratio = 6 : 2 : 3
Aryan Ratio
=
4 6000
11 11 15 100 (AMF = 15 × 100)
11 × 15 = 165 × 100
❖ Neon Approach (Thought Process):
Ratio = 5 × 11 : 9 × 11 = 5 : 9
Difference between two = 4 = 4800
Aryan Ratio = =
4 4800
14 12 14 100 (AMF = 12 × 100)
= 14 × 12 = (13 + 1) (13 – 1) = 132 – 1
= 169 – 1 = 168 × 100 = 16800
❖ Neon Approach (Thought Process):
A : B
Investment 7 : 8
Time x : 12
7 : 12
So, at place of x, 8 will come i.e. A stayed for 8 months.
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Ratio of the equivalent capitals of A and B for 1 month. = 3600 × 12 : 4000 × (12 - x) = 54 : 5 (12 - x)
∴ =−
54 6
60 5 5x ⇒ 360 – 30x = 54 × 5 = 270
⇒ 30x = 360 – 270 = 90 ⇒ x =90
30= 3 months
49. (c)
Classical Approach:
Ratio of equivalent capital for the first year :
A : B : C = (4 × 2) : (2 × 3) : (3 × 1) = 8 : 6 : 3
Ratio of investments during the second year :
A : B : C = (4 × 1.5) : 2 : 3 = 6 : 2 : 3
∴ Ratio of equivalent capitals for two years
= (8 + 12) : (6 + 6) : (3 + 3) 20 : 12 : 6 = 10 : 6 : 3
∴ C’s share in the total profit =
+ +
3
10 6 3× 47500 = Rs. 7500
50. (c)
Classical Approach:
Raman's investment = First 8 months + Last 4 months
= 3000 × 8 + 1500 × 4 = 30000
Nakul's investment = First 4 months + Next 3 months + Remaining five months
= 1000 × 4 + 4500 × 3 + 3000 × 5 = 32500
Therefore, = =30000 12
32500 13
Raman
Nakul
Raman's share in profit = ( )+
12
12 13× 1800 = Rs. 864
51. (a)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 month
= (16000 × 3 + 11000 × 9) : (12000 × 3 + 17000 × 9) : (21000 × 6)
= (16 × 3 + 11 × 9) : (12 × 3 + 17 × 9) : (21 × 6)
= (48 + 99) : (36 + 153) : (126)
= 147 : 189 : 126 = 7 : 9 : 6
Sum of the terms of ratio = 7 + 9 + 6 = 22
∴ Required difference = −
9 6
22×26400
= Rs.
326400
22= Rs. 3600
52. (d)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year
= 18000 × 12 : 24000 × 10 : 15000 × 4 + 18000 × 4
= 18 × 12 : 24 × 10 : (15 × 4 + 18 × 4) = 216 : 240 : 132
Sum of the terms of ratio = 18 + 20 + 11 = 49
∴ B’s share = Rs.
2012005
49= Rs. 4900
53. (e)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 2 years = 45000 × 24 : 90000 × 24 : 90000 × 24 = 1 : 2 : 2
Sum of the terms of ratio = 1 + 2 + 2 = 5
∴ B’s share = Rs.
2164000
5 = Rs. 65600
54. (a)
Classical Approach:
B’s investment = Rs. 10x
C’s investment = Rs. 9x
Ratio of the equivalent capitals of A, B and C for 1 year = (12000 × 6 + 6000 × 6) : 10x × 6 : 9x × 6
= (72000 + 36000) : 60x : 54x
= 108000 : 6x : 54x = 18000 : 10x : 9x
∴ A’s share =+
18000
19 18000x× 14000
= 4500 ⇒ 19x + 18000 = 56000 ⇒ 19x = 56000 – 18000 = 38000
⇒ x =38000
19= 2000
∴ B’s investment = 10 × 2000 = Rs. 20000
55. (c)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for one year = 2x × 12 : 5x × 12 : 3x × 8 = 24 : 60 : 24 = 2 : 5 : 2
Sum of the terms of ratio = 2 + 5 + 2 = 9
∴ A’s share = Rs.
248600
9= Rs. 10800
56. (d)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 month
= 1200 × 6 + (1200 + x) × 6 : 400 × 12 : 300 × 12
= 2400 + x : 800 : 600
❖ Neon Approach (Thought Process):
12005 = 5 × 2401
Factorization = 5 × (49)2
So, answer will have 49 in it for sure
Only one option (d).
❖ Neon Approach (Thought Process):
Let B & C invested 10000x & 9000x respectively
A : B : C
12 × 6 + 6 × 6 : 10x × 6 : 9x × 6
18 : 10x : 9x
using aryan's ratio
= =+
18 4500 9
18 19 14000 28x 56 = 18 + 19x ⇒ x = 2
B invested 20000.
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According to the question,
=+
800 4
3800 23x ⇒ 15200 + 4x = 18400
⇒ 4x = 18400 – 15200 = Rs. 3200 ⇒ x =3200
4= Rs. 800
57. (d)
Classical Approach:
Ratio of the equivalent capitals of P, Q and R for 1 year = 15000 × 12 : 18000 × 6 : 10000 × 8
= 15 × 12 : 18 × 6 : 10 × 8 = 45 : 27 : 20
Sum of the terms of ratio = 45 + 27 + 20 = 92
If total annual profit be Rs. x,
Then P’s share =45
92x = 4500
⇒ x =4500 92
45= Rs. 9200
58. (b)
Classical Approach:
Ratio of the equivalent capitals of Tom and Harry for 1 year = 52000 × 12 : 39000 × 8
= 52 × 12 : 39 × 8 = 2 : 1
Sum of the terms of ratio = 2 + 1 = 3
If the total annual profit be Rs. x, then
+3 1
4 3 4
x x= 20000 ⇒
2
x= 20000 ⇒ x = Rs. 40000
∴ Tom’s share = Rs. (40000 - 20000) = Rs. 20000
59. (d)
Classical Approach:
Ratio of the equivalent capitals of A, B and C
= 6500 × 6 : 8400 × 5 : 1000 × 3
= 65 × 6 : 84 × 5 : 100 × 3 = 13 : 14 : 10
Sum of the terms of ratio = 13 + 14 + 10 = 37
B’s share =
14 7400 95
37 100 =
1474 95
37= Rs. 2660
60. (a)
Classical Approach:
A’s investment = Rs. x
According to the questions,
⇒ 12x + (x - 6000) × 8 + (x - 2000) × 5
= 142000 ⇒ 12x + 8x – 48000 + 5x – 10000
= 142000 ⇒ 25x = 142000 + 58000
⇒ 25x = 200000 ⇒ x =200000
25= Rs. 8000
∴ Ratio of the equivalent capitals of A, B and C
= 8000 × 12 : 2000 × 8 : 6000 × 5 = 96 : 16 : 30 = 48 : 8 : 15
∴ A’s share = Rs.
488000
8= Rs. 48000
61. (c)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year = 3x × 12 : 7x × 8 : 4x × 12 = 9 : 14 : 12
Sum of the terms of ratio = 9 + 14 + 12 = 35
Use Aryan's ratio =5 2000
35 x x = 14000
62. (b)
Classical Approach:
Ratio of the equivalent capitals of A, B and C for 1 year = 6x × 12 : 11x × 8 : 12x × 8 = 9 : 11 : 12
Sum of the terms of ratio = 9 + 11 + 12 = 32
According to the question,
If the total annual profit be Rs. y, then
−
12 9
32 32y = 720 ⇒
3
32
y= 720 ⇒ y =
720 32
3= Rs. 7680
63. (b)
Classical Approach:
Ratio of the equivalent capitals of A and B for 1 year
= 12 × 1200 : (12 - x) × 1500
= 48 : (12 - x) × 5 = 48 : (60 – 5x)
According to the question,
−
= =+ +
60 5 750 5
48 60 1950 13
x
x⇒
−=
−
12 1
108 5 13
x
x
⇒ 108 – 5x = 156 – 13x ⇒ 13x – 5x = 156 – 108
❖ Neon Approach (Thought Process):
Aryan ratio = =45 4500
92 9200
❖ Neon Approach (Thought Process):
Tom : Harry
52 × 12 : 39 × 8
2 : 1
harry received 25% of profit + 1
3rd of 75% of profit = 50%
of profit = 20000
So, tom received the remaining 50% of profit which is also 20000.
❖ Neon Approach (Thought Process):
A : B : C
65 × 6 : 84 × 5 : 100 × 3
13 : 14 : 10
B would receive 14
37of 95% of 7400=
14 19
37 20× 7400 =
2660
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⇒ 8x = 48 ⇒ x =48
8= 6 months
Alternatively:
A : B
Investment 4 : 5
Profit 8 : 5
Time 8
4 :
5
5
2 : 1
So, A invested for 6 months.
64. (a)
Classical Approach:
Let Mohan join the business after x months.
According to the question,
( )
=−
45000 12 9
3000 12 4x⇒ =
−
18 9
12 4x⇒
−
2
12 x=
1
4
⇒ 12 – x = 8 ⇒ x = 12 – 8 = 4 month
65. (c)
Classical Approach:
Let C invest in the business for x months
∴ 5600 × x = 2800 × 12 ⇒ x =12
2= 6 month
66. (d)
Classical Approach:
Period of B’s investment =8 112.5
100= 9 months
∴ Ratio of equivalent capitals of A, B and C for 1 year
= 6 × 12 : 8 × 9 : 9 × 12 = 2 : 2 : 3
B’s share = Rs. 16750
∴ C’s share = Rs.
316750
2= Rs. 25125
67. (b)
Classical Approach:
Ratio of the profit’s of A, B and C = Ratio of equivalent capitals of A, B and C for 1 year = 72000 × 12 : 60000 × 4 : 600x × 8
= 720 × 12 : 600 × 4 : 48x = 180 : 50 : x
Sum of the terms of ratio = 180 + 50 + x = 230 + x
∴ C’s share =+230
x
x× 48000
⇒ +230
x
x× 48000 = 11200 ⇒
+
30
230
x
x= 7
⇒ 30x = 1610 + 7x ⇒ 30x – 7x = 1610
⇒ 23x = 1610 ⇒ x =1610
23= 70%
68. (c)
Classical Approach:
According to the question,
A’s investment = Rs. x ∴ B’s investment = Rs. 2.5x
∴ x + 2.5x = Rs. 28000 ⇒ 3.5x = 28000
⇒ x =28000
3.5= Rs. 8000
∴ B’s investment = Rs. (2.5 × 8000) = Rs. 20000
∴ Ratio of equivalent capitals of A and B for 1 month
= 8000 × 3 : 20000 = 6 : 5
Annual profit = 8000 – 2500 = Rs. 5500
∴ Difference of shares = Rs. −
+
6 55500
6 5
= Rs.
15500
11= Rs. 500
69. (c)
Classical Approach:
Ratio of the shares of A, B and C = Ratio of the equivalent capitals of A, B and C for 1 month
= 4000 × 12 : 4500 × 6 : 6000 × 3
= 40 × 12 : 45 × 6 : 60 × 3 = 16 : 9 : 6
Sum of the terms of ratio = 16 + 9 + 6 = 31
If total annual profit be Rs. x, then
B’s share = Rs. 9
31
x
∴ 9
31
x= 18000 ⇒ x =
18000 31
9 = Rs. 62000
70. (a)
Classical Approach:
Ratio of investment
❖ Neon Approach (Thought Process):
B's time = 112.5% means 100 + 12.5% = 9
8
B's investment = 8, time = 9
Now,
A B C
Investment 6 8 9
Time 12 9 12
Profit 2 2 3
=2 16750
3 x
1. Range
If 2 = 16000 + something
1 = 8000 + something ⇒ 3 = 24000 + something
Options a, b, e eliminated.
2. Answer will be a multiple of 3
So, digit sum = 3, 6, 9
c) 25225, D.S. = 7 d) 25125, D.S. = 3
Answer (d)
❖ Neon Approach (Thought Process):
A : B : C = 16 : 9 : 6
A + B + C = 31
total profit will be a multiple of 31. only option (c) satisfies.
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A : B : C = (8000 × 12) : (12000 × 4) + (16000 × 8)
: (16000 × 9) + (12000 × 3) = 24 : 44 : 45
∴ Share of A =24
113 × 22600 = Rs. 4800
71. (b) Classical Approach:
Ratio of profit = 2 : 3 : 5 × 2
3: 7 ×
2
3 = 6 : 9 : 10 : 14
∴ Share of B =18
20× 12000 = Rs. 10800
72. (c) Classical Approach:
Share of C
= ( )
( ) ( ) ( )
+ +
15000 16
12000 24 16000 24 15000 16 = Rs. 12000
73. (b) Classical Approach:
Let there investment in Ist year = 5x, 4x, 7x
Time = 1 yr,3
4yr,
1
2yr
Investment in second year = 10x, 4x, 7x
Time = 1 yr, 3
4yr,
1
2yr
Ratio of profit = 15 : 6 : 7
∴ Share of B =6
28× 14000 = Rs. 3000
74. (b) Classical Approach:
(A's profit) : (B's profit) : (C's profit)
= 600 × 12 : 500 × 4 : 5x × 8
= 180 : 50 : x According to the question,
∴ C's profit =+230
x
x× 24000
⇒ +230
x
x× 24000 = 5600 ⇒ 30x = 1610 + 7x
⇒ 23x = 1610 ⇒ x = 1610
23= 70%
75. (d) Classical Approach:
Satish : Bhavya : Abhishek
15 × 12 : 18 × (12 - x) : 24 × (12 - x)
10 : 9 : 12
⇒
= −
15 12 10
18 (12 ) 9x ⇒ 12 - x = 9 ∴ x = 3 months
76. (b) Classical Approach:
From question we observe that sum of investment of A and C is equal to B for first quarter.
So, if ratio investment of B is equal to (A + C) for all quarters of year, then B's profit is 50% of total profit.
So, profit of B =125000
2 = 62500
77. (b)
Classical Approach:
Total amount invested by A + B in a year
⇒ 2500 + 7x + 7y + 13z = 9000 ...(i)
Total amount invested by B and C in a year
⇒ 2300 + 8x + 7y + 13z = 10500 ...(ii)
From Eqs. (i) and (ii), we get
⇒ 200 - x = - 1500 ⇒ x = 1700
∴ Total amount for second quarter = Rs. 17000
❖ Neon Approach (Thought Process):
S B A
Investment 5 6 8
Time 12
Profit 10 9 12
Profit 60 54 72
If 10 = 60 therefore 1 = 6
9 = 54, 12 = 72
6 × 9 = 54 and 8 × 9 = 72
So, at place of time in B and A, 9 should come i.e. Both stayed for 9 months so Bhavya left 3 months before and Abhishek joined after 3 months.