equation,ratio,percentage

8/10/2019 Equation,Ratio,Percentage

1/35

ERPV

PPL


2/35

According to a new scheme, a mobile networkcompany offers a few free calls to its customers

every month. Every subsequent call after the freecalls, is charged at a fixed rate. Garima paid 1300for 850 calls in the month of May and 800 for 600calls in the month of June. What amount will she

have to pay if she makes a total of 1450 calls inJuly?

(1) 2100

(2) 2350

(3) 2500

(4) None of these


3/35

If a, b, c and d are positive real numbers, where a =2b and 3c = 4d , then find the ratio of (abc 2 + 2b 2d 2 ) and (a 2 cd + 2bc 2 d).

(1) 41 : 96

(2) 41 : 48

(3) 25 : 72

(4) 25 : 144

(5) Cannot be determined


4/35

The total cost of 2 pencils, 5 erasers and 7sharpeners is 30, while 3 pencils and 5 sharpenerscost 15 more than 6 erasers. By what amount (in) does the cost of 39 erasers and 1 sharpenerexceed the cost of 6 pencils?

(1) 20

(2) 25

(3) 30

(4) It does not exceed



5/35

The selling price of three pens is equal to the costprice of five pens. The marked price of three pens is

equal to the selling price of five pens. The cost priceis what percentage of the marked price?

(1) 54%

(2) 36%

(3) 24%

(4) 72%


6/35

If the selling price of 10 oranges is equal to the costprice of 14 oranges, which in turn, is equal to one-third of the total discount offered upon 70 oranges,

then find the profit/loss percentage when the mark-up percentage is halved and the discount percentageis decreased by 5 percentage points.

(1) 12.5% profit

(2) 20% profit

(3) 7.5% loss

(4) 10% loss


7/35

2 2 2If : : : 6, then pq qr rs

p q q r r s q r s

(1) 3

(2) 6

(3) 9

(4) 36


8/35

If L = , M = and N = , p q q r r p p q q r r p

What is the value of L M + M N + N L?

(1) 1

(2) 0

(3) 1(4) 2


9/35

Rohan went to a casino to play a card game. At theend of each round of the game, he doubled theamount with him and gave 2048 to his friend. Afterplaying ten rounds, he was left with no money. Whatwas the amount he started with?

(1) 3071

(2) 4098

(3) 2046

(4) 2047


10/35

Some friends planned to contribute equally to jointlybuy a CD player. However, two of them decided towithdraw at the last minute. As a result, each of theothers had to shell out one rupee more than whatthey had planned for. If the price (in ) of the CDplayer is an integer between 1000 and 1100, findthe number of friends who actually contributed.

(1) 21

(2) 23

(3) 44

(4) 46


11/35

The ratio of earnings of A, B and C is 2 : 3 : 5. If Aincreases his earnings by a certain amount, B by

double that amount and C by triple that amount,which of the following could be the ratio of theearnings of A and C after the increase?

(1) 7 : 17

(2) 9 : 22

(3) 13 : 40

(4) 16 : 45


12/35

Arun bought a DVD player and a television. He soldthe DVD player for a loss equal to 20% of its

selling price, whereas the profit on the televisionwas 20% of its selling price. If, on the whole, Arunmade a profit of 12.5% on the cost price, what isthe ratio of the cost price of the DVD player to thatof the television?

(1) 3 : 13

(2) 9 : 26

(3) 3 : 7

(4) 2 : 7


13/35

A man is thrice as old as his son. If the man was42 years old when his son was born, find the age

of the son when the man was seven times as old ashis son?

(1) 7 years

(2) 14 years

(3) 12 years

(4) 21 years


14/35

Six numbers a, b, c, d, e, f are such that a b =1, b c = , c d = 6, d e = 2, e f = .

What is the value of a d : b e : c f?

(1) 72 : 1 : 9

(2) 8 : 9 : 9

(3) 24 : 2 : 3

(4) 6 : 1 : 9

(5) 4 : 3 : 27


15/35

The age of a father was three times that of his sonwhen the father was as old as the son is now. Find

the ratio of the present ages of the father and theson.

(1) 3 : 2

(2) 2 : 1

(3) 5 : 3

(4) 5 : 2


16/35


17/35

Praful went to the market and bought apples,bananas and oranges. He purchased at least 25fruits of each variety and calculated that if the cost

of each orange was 1 more and the cost of eachbanana was 4 more, then his total expenditure onthe fruits would have gone up by 136. If he boughta total of 80 fruits, find the number of bananas hepurchased.(1) 26

(2) 27

(3) 28

(4) 29



18/35

Balram, the local shoe shop owner, sells four types offootwear- Slippers (S), Canvas Shoes (C), Leather Shoes(L) and Joggers (J). The following information is known

regarding the cost prices and selling prices of these fourtypes of footwear:(i) L sells for 500 less than J, which costs 300 more thanS, which, in turn, sells for 200 more than L.(ii) L costs 300 less than C, which sells for 100 morethan S, which, in turn, costs 100 less than C.

If it is known that Balram never sells any item at a loss,then which of the following is true regarding the profit

percentages earned by Balram on the items L, S, C and Jrepresented by l, s, c and j respectively?

(1) l c s j (2) c s l j

(3) l

s

c

j (4) s

l

j

c


19/35

Two articles were sold at a profit of 25% each. Theratio of the profits made on the two articles was 6 :7. If the average selling price of the two articles was3510, what was the absolute difference (in ) between the profits earned on the two articles?

(1) 100

(2) 108

(3) 132

(4) 120


20/35

In a class, every boy is friends with exactly four girlsand every girl is friends with exactly three boys. It isknown that there are only 17 desks in the

classroom, each of which can hold not more thanfour students. If there are 59 students in the classwho study German, find the number of students inthe class.

(1) 60

(2) 63

(3) 66

(4) 70



21/35

My present age is two years more than thrice theage of one of my sisters named Aayesha. After Nyears, I will be two years more than thrice the age

of my other sister named Aayushi. What is theminimum possible integral difference (in years)between the ages of my two above mentionedsisters? (N is a natural number.)

(1) 6

(2) 4

(3) 3

(4) 2

(5) None of these


22/35

Raja has 160 mobile phones with him. The mobileswith him are either 2G or 3G. The ratio of number of2G to 3G phones is 3 : 5. The number of mobiles

with Bluetooth to those without Bluetooth is 1 : 4.The ratio of number of 2G phones with Bluetooth to3G phones with Bluetooth is 3 : 1. Find the ratio ofnumbers of 2G phones without Bluetooth to 3Gphones without Bluetooth.

(1) 9 : 23

(2) 11 : 21

(3) 1 : 3

(4) 5 : 11

(5) 7 : 25


23/35

The cost price of a pair of shoes is increased by18%. A trader who revised the selling price of thepair of shoes to maintain the same profit percentage

noted that he got 9 more than the earlier profit byselling one pair of shoes. What was the earlierprofit?

(1) 36

(2) 45

(3) 50

(4) 54



24/35

Two beakers, A and B, contain benzene, toluene andnaphthalene in the ratio 1 : 3 : 2 and 2 : 1 : 5respectively. Some part of the solution from beaker

A and beaker B are thoroughly mixed and put intoanother beaker C. Which of the following cannot bethe ratio of benzene, naphthalene and toluene inbeaker C?

(1) 10 : 23 : 15

(2) 7 : 15 : 16

(3) 6 : 13 : 13(4) 4 : 9 : 7

(5) 9 : 20 : 18


25/35

The number of students in batch A and batch B arein the ratio 2 : 3 in 2009 and 5 : 8 in 2010. Thenumber of students in batch A and batch B is

increased from 2010 to 2011 at a rate that is twiceand thrice respectively, of the rate at which itincreased from 2009 to 2010. If the ratio of theaggregate number of students in these two batchesin 2010 and 2009 is 26 : 5, then find the ratio ofnumber of students in batch A and batch B in 2011.

(1) 25 : 64 (2) 25 : 84

(3) 45 : 112 (4) 35 : 92

(5) 3 : 10


26/35

On giving 3 pencils free wit every 5 pens bought, ashopkeeper makes a profit of 20% and on giving 6pencils free with every 2 pens bought, he suffers a

loss of 25%. Find the approximate profit percentmade by the shopkeeper when he gives 4 pencilsfree with every 6 pens bought, if the selling price of1 pen remains the same. (Assume that the pencilsare identical and the same applies to the pens.)

(1) 16% (2) 18%

(3) 20% (4) 22%

(5) 24%


27/35

In a shop an acid is available only in sealed bottlesof volume 1 litre. The concentration of thementioned acid is one or the other of three

concentrations 20%, 30% and 50% and the cost perlitre of the acid is 20, 30 and 40 respectively. Aperson wants to prepare a solution of 10 litres ofacid having concentration 40% using the bottles ofacid available in the shop. What is the minimumpossible amount he must spend in buying the bottlesof acid?

(1) 330 (2) 333.33

(3) 340 (4) 360

(5) 380


28/35

Mr. Four-Twenty while buying cloth uses a faultymetre-tape which actually measures 110 cm andwhile selling cloth, he uses a faulty metre-tape

which actually measures 90 cm. If he buys the clothat a discount of 5% on the marked price and sells iton a discount of 10% on the same marked price,then what is his percentage gain or loss?

(1) 5% loss

(2) 4.21% loss

(3) 15.8% profit

(4) 25% profit

(5) None of these


29/35

Given three mixtures consisting of three componentsA, B and C. The first mixture contains onlycomponents A and B in the ratio 3 : 5, the second

mixtures contains components B and C in the weightratio of 1 : 2, and the third mixture contains onlythe components A and C in the weight ratio of 2 : 3.in what ratio must we take these mixtures so thatthe resulting mixture of components A, B and Cstand in the weight ratio of 3 : 5 : 2?

(1) 18 : 10 :7 (2) 16 : 11 : 6

(3) 5 : 3 : 2 (4) 20 : 6 : 3

(5) None of these


30/35

A student spends a certain sum of money on a book-bag, a fountain pen and a book. If the cost of thebook-bag were less by a factor of 5, the pen by a

factor of 2 and the book by a factor of 2.5, theoverall cost would be 8 dollars. Now, if compared tothe original cost, the prices were reduced twofoldfor the book-bag, fourfold for the pen, and threefoldfor the book then the total outlay would be 12dollars. Which of the following is true about the costof the book-bag and the pen?

(1) Former is more than latter

(2) Latter is more than former

(3) Former is equal to latter

(4) They cannot be compared


31/35

Tom and Jerry were comparing their ages and foundthat Jerry is as old as Tom was when Jerry was asold as Tom had been when Jerry was half as old as

Tom is. If the sum of their present ages is 44 years,then Toms age is

(1) 22

(2) 24

(3) 25

(4) 26

(5) 28


32/35

A shopkeeper sells two items A and B. The sellingprice of A is 80% of that of B, while the markedprices of A and B are in the ratio of 2 : 3

respectively. Further, there is a 331

/ 3% discountoffered on B and the cost prices are in the sameratio as the respective marked prices. If the costprice and profit percentage of A are 50 and 60%respectively, then find the marked price of B. (1) 150

(2) 100

(3) 90

(4) 80

(5) 70

Th h f DPS i d bl f h f MPS Th


33/35

The strength of DPS is double of that of MPS. Theratio of the number of boys in class X to the totalstrength of class X of DPS is 3 : 5 and the same forMPS is 3 : 4. The girls of class X form 2% of thetotal school strength, both in DPS as well as MPS. Ifall the students of class X of both the schools aregrouped together, what will be the ratio of girls toboys in the group formed?

(1) 1 : 3

(2) 1 : 2

(3) 3 : 1

(4) 2 : 1

(5) Data insufficient


34/35

Each of four girls, A, B, C, and D, had a fewchocolates with her. A first gave 1/3 rd of thechocolates with her to B, B gave 1/4 th of what she

then had to C and C gave 1/5th

of what she then hadto D. finally, all the four girls had an equal numberof chocolates. If A had 80 chocolates more than Binitially, find the difference between the number ofchocolates that C and D initially had. (1) 15

(2) 20

(3) 24

(4) 30

(5) None of these

E h f t i l d i l h b


35/35

Each of ten girls around a circle chooses a numberand tells it to the neighbor on each side. Thus eachperson gives out one number and receives twonumbers. Each girl then announces the average ofthe two numbers she received. Remarkably, theannounced numbers, in order around the circle,were 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. What was thenumber chosen by the girl who announces the

number 6? (1) 1

(2) 2

(3) 4

(4) 6

(5) C b d i d

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