Maths by Bhagwati Prasad Sir 9 Profit, Loss and Discount |

1. A Shopkeeper sold his goods at a profit of1

12 %2

. Find the C.P. of article if S.P. is Rs.

1890.1

12 %2

(A) 1680 (B) 1780

(C) 1580 (D) 18802. A shopkeeper sold his article at a profit of

216 %

3 Find the C.P. if S.P. is Rs. 1470.

216 %

3

(A) 1160 (B) 1360

(C) 1260 (D) 14603. A shopkeeper sold his article at a loss of 15%.

Find the C.P. if S.P. is Rs. 1360.

(A) 1500 (B) 1600

(C) 1400 (D) 18004. S.P. of 9 articles is equal to the C.P. of 12

articles. Then find the profit or loss percent.

(A)2

333

% (B) 33%

(C) 31% (D)2

333

%

5. S.P. of 63 articles is equal to the C.P. of 72articles. Find the profit or loss percent.

(A)3

147

% (B)4

147

%

(C)2

147

% (D)1

147

%

Profit, Loss and Discount |

EXERCISE – 2.1

6. C.P. of 44 articles is equal to the S.P. of 55articles. Find the profit or loss percent.

(A) 20% (B) 25%(C) 10% (D) 15%

7. On selling 25 oranges a shopkeeper gains S.Pof 5 oranges. Find the profit or loss percent.

(A) 25% (B) 20%(C) 15% (D) 5%

8. On selling 72 articles a shopkeeper gains S.P.of 9 articles. Find the profit or loss percent.

(A)4

147

% (B)3

147

%

(C)2

147

% (D)1

147

%

9. On selling 33m cloth a shopkeeper loses C.Pof 11m cloth. Find the loss percent on wholetransaction.

(A)2

333

% (B)1

333

%

(C) 31% (D)2

333

%

10. A dishonest milkman sells milk at C.P but he

mixes water into the milk and gains 1

12 %2

What is the ratio of water to the milk in themixture?

112 %

2

(A) 11 : 8 (B) 7 : 5

(C) 9 : 7 (D) 9 : 8

Profit, Loss and Discount | 1 0 Maths by Bhagwati Prasad Sir

11. A dishonest sweet seller professes to sellsweets at C.P. but he uses a false weight of900g instead of 1 kg. Find the profit or losspercent during the whole transaction.

(A)4

119

% (B)2

119

%

(C)5

119

% (D)5

119

%

12. A shopkeeper sells his goods at 10% profit buthe uses a false weight of 800 g instead of 1kg, then find his profit percent on wholetransaction.

(A) 1

322

% (B) 1

372

%

(C) 1

332

% (D)1

352

%

13. A dishonest sweet seller sells his goods at10% profit but he uses a false weight of 900 ginstead of 1 kg, then find his profit or losspercent.

(A)2

239

% (B)2

249

%

(C)2

229

% (D)2

219

%

14. A dishonest shopkeeper sells his goods at C.Pbut he uses a false weight and gains 25%, find

the false weight which he uses instead of 1 kg.

(A) 600 gm/ (B) 800 gm/

(C) 700 gm/ (D) 900 gm/

15. A dishonest shopkeeper sells his goods atC.P. but he uses a false weight and gains20% , find the false weight which he usesinstead of 750g.

(A) 625 gm/ (B) 525 gm/

(C) 650 gm/ (D) 725 gm/

16. A man buys pencil at the rate of 6 for Rs. 5 andsells them at 5 for Rs. 6, then find the profit orloss percent during the whole transaction.

(A) 33% (B) 45%

(C) 54% (D) 44%17. A man buys some lemons at 2 for Rs. 1 and

same number of lemons at 1 for Rs. 2, he sellsthem at 3 for Rs. 3. What is his gain/losspercent in this transaction.

(A) 10% (B) 25%

(C) 20% (D) 15%18. Some toffees were bought at 11 for Rs. 10 and

same number of toffees at 9 for Rs. 10. If alltoffees were sold at Rs. 1, find the profit/losspercent during the whole transacton.

(A) 2% (B) 1%

(C) 1.5% (D) 2.5%19. A wholesaler gives 30 pens to a retailer at

MRP of 27 pens. Find the profit precent ofretailer if he sells all the pen at MRP.

(A)2

11 %9

(B)4

11 %9

(C)1

11 %9

(D)5

11 %9

Maths by Bhagwati Prasad Sir 11 Profit, Loss and Discount |

23. Geeta purchases a plot of land for Rs. 96000.She sells 2/5th of this plot at 6% loss. At whatprofit percent should she sells the remainingto get 10% profit overall?

(A)1

20 %3

(B)1

21 %3

(C)2

20 %3

(D)2

21 %3

24. A shopkeeper sells his goods at 12% loss. If hehad sold it for Rs. 18 more then he would havegained 18%. Find the C.P. of article.

(A) Rs. 400 (B) Rs. 100

(C) Rs. 200 (D) Rs. 30025. A shopkeeper sells his goods at 7% loss. If he

had sold it for Rs. 64 more then he would havegained 9%. Find the C.P. of Article.

(A) Rs. 300 (B) Rs. 400(C) Rs. 100 (D) Rs. 200

20. A wholesaler gives 40 pens to a retailer atMRP of 36 pens, the retailer sells all the pensafter 1% discount, then find the profit percentof retailer during the whole transaction.

(A) 20% (B) 15%(C) 10% (D) 25%

21. A man purchases some article for Rs. 5400.He sells 2/3rd of them at 15% profit. At whatprofit percentage shoud he sell the remainingarticles to obtain an overall profit of 12% ?

(A) 5% (B) 6%(C) 7% (D) 8%

22. A man purchases some article at Rs.18935000 and he sells 3/5th of them at 8%profit. At what profit percent should he sellthe remaining to gain 13%?

(A)1

20 %3

(B) 1

21 %3

(C)2

20 %3

(D)2

21 %3

Profit, Loss and Discount | 1 2 Maths by Bhagwati Prasad Sir

EXERCISE – 2.2

1. Neha wants to sell a watch at a profit of 20%.Had she bought it at 10% loss and sold it forRs. 30 less she would have gained 20%. Theoriginal C.P. of watch is -

(A) Rs. 150 (B) Rs. 200

(C) Rs. 250 (D) Rs. 3002. A shopkeeper sells his goods at 20% profit.

Had he bought it at 10% loss and sold it forRs. 15 less, he would have gained 30%. Findthe original C.P. of article.

(A) Rs. 500 (B) Rs. 700

(C) Rs. 600 (D) Rs. 8003. A shopkeeper sells his goods at 10% profit.

Had he bought it at 20% loss and sold it forRs. 56 more, then he would have gain 30%.Find the original C.P. of article.

10%

20% Rs. 56

(A) 300 (B) 200

(C) 400 (D) 100

4. A shopkeeper sells his goods at 10% loss. Hadhe bought it at 20% loss and sold it for Rs. 44more, then he would have gained 40%. Findthe original C.P. of article.

10%

20% Rs. 44

40%

(A) 95 (B) 85

(C) 100 (D) 905. A shopkeeper allows two successive

discounts of 50% and 40% on MRP. Thenfind its equivalent discount.

(A) 50% (B) 65%

(C) 60% (D) 70%

6. A shopkeeper allows 3 successive discounts of50%, 40% and 20%. Find his equivalentdiscount.

(A) 74% (B) 76%(C) 75% (D) 77%

7. The MRP of a piano was Rs. 15000 at thetime of sale. There were three successivediscount of 20%, 10% and 10% respectively.Find the S.P. of piano.

(A) 9890 (B) 8720(C) 9720 (D) 7720

8. A shopkeeper purchases a chair marked atRs. 600 and gets two successive discount of15% and 20% respectively. He spends Rs. 28on transportation and sells the chair for Rs.545. His gain percent was-

(A) 25% (B) 15%(C) 20% (D) 10%

9. Total C.P. of chair and table is Rs. 20,000. Chairis sold at 10% profit and table at 10% loss andshopkeeper gains Rs. 450 on whole transaction.Then the C.P. of chair and table was-

(A) 22250 (B) 12350(C) 12750 (D) 12250

10. The total C.P. of 2 watches is Rs. 840. One issold at a profit of 16% and other at a loss of 12%.There is no profit or loss on whole transaction.Then find the C.P. of each watch.

(A) 360, 480 (B) 320, 480

(C) 360, 460 (D) 340, 420

Maths by Bhagwati Prasad Sir 13 Profit, Loss and Discount |

11. A businessman bought 5 horses and 10 cowsfor Rs. 10,000, he sold each horse at 15% profitand each cow at 10% loss. He gained Rs. 375on whole transaction. Then find the price ofeach horse.

(A) 1200 (B) 1300

(C) 1100 (D) 140012. If 450 pens which have equal costs are

categorized in three types to sell them at aprofit of 9%, 10% and 12% respectively. If

overall profit on first two types is 937

% and

the overall profit during the whole transactionis 10%. Then find the number of pens in allcategories.

(A) 60, 90, 300 (B) 50, 100, 300(C) 50, 150, 250 (D) 40, 150, 260

13. A person bought two watches for Rs. 480. Hesold one at a loss of 15% and other at a profitof 19% and he found that each watch was soldat a same price. Find the C.P. of two watches.

(A) 240, 240 (B) 380, 100

(C) 140, 340 (D) 280, 20014. A man sells two articles for the same price.

He sold the Ist article at 15% loss and secondarticle at 19% profit. If he bears a loss of Rs.480 on whole transaction then find thedifference between their C.P.

(A) Rs. 9600 (B) Rs. 5600

(C) Rs. 4800 (D) Rs. 7600

15. A man sells 3 articles 1st at a loss of 10%, 2nd

at a profit of 20% and 3rd at a loss of 25%. Ifthe S.P. of all the 3 articles are same and hebears a loss of Rs. 350 on whole transaction

then calculate C.P. of all 3 articles.

(A) Rs. 550 (B) Rs. 580

(C) Rs. 590 (D) Rs. 690

16. A shopkeeper calculates his profit on S.P.and obtains a profit of 20%. Find his actual

profit percent.

(A) 15% (B) 25%

(C) 20% (D) 10%

17. 'A' calculates his profit on S.P. whereas 'B'calculates at C.P. If their S.P. are same, 'A'gets 25% profit and 'B' gets 15% profit anddifference between their profit is Rs. 275,

then find their S.Ps.

A B

A B

(A) 2200 (B) 2400

(C) 2500 (D) 2300

18. 'A' calculates profit on S.P. and 'B' calculateson C.P. If the S.P. of A and B is Rs. 1800 eachand profit earned by 'A' is 20% and by Ritesh'B' is 20%, then the difference in eachother's profit is?

A B

A

B

(A) 40 (B) 70

(C) 60 (D) 90

Profit, Loss and Discount | 1 4 Maths by Bhagwati Prasad Sir

19. A shopkeeper purchased two articles for Rs.3600. He sold the 1st article at 30% loss and2nd article at 25% profit. Calculate the amountof profit or loss earned by him if the C.P. of 1st

article is equal to the S.P. of 2nd article.

(A) 200 (B) 300

(C) 100 (D) 40020. A shopkeeper purchased two articles for a

certain amount. He sells the first article at

a loss of 1

333

% and 2nd article at a loss of

20%. If he bears a loss of Rs. 560 on wholetransaction, find the S.P. of both article. Ifthe C.P. of 1st article is equal to S.P. of 2nd

article.

133

3%

(A) SP1 = 640, SP

2 = 800

(B) SP1 = 640, SP

2 = 800

(C) SP1 = 640, SP

2 = 800

(D) SP1 = 640, SP

2 = 800

21. By what percent the consumption of tea bedecreased so that the expenditure does not

increase if the price of tea is increased by 20%?

(A)1

16 %3

(B)2

16 %3

(C)1

15 %3

(D)2

15 %3

22. The price of Sugar falls down by 20% and thehousewife is able to buy 5kg more for Rs.

100. Find the original C.P. of sugar.

(A) 4 Rs/kg (B) 6 Rs/kg

(C) 7 Rs/kg (D) 5 Rs/kg

23. The price of tea is increased by 32% and soa housewife's expenditure on tea increasedby 10%. If she bought 12kg earlier. What is

the quantity she bought now?

(A) 10 kg (B) 11 kg

(C) 8 kg (D) 9 kg

24. Dinesh purchased some lemons. Hepurchased 3 lemons for Rs. 2. He sold all thelemons and obtained 25% profit At what rate

did he sell all the lemons?

(A) Rs. 6 (B) Rs. 4

(C) Rs. 7 (D) Rs. 5

25. Rakesh purchased some lemons. Hepurchased 7 lemons for Rs. 10. He sold allthe lemons and obtained 20% loss. At what

rate did he sell all the lemons?

(A) Rs. 8 (B) Rs. 7

(C) Rs. 9 (D) Rs. 6

Maths by Bhagwati Prasad Sir 15 Profit, Loss and Discount |

EXERCISE – 2.3

1. Nishank Pathak marks his goods 30% abovehis cost price but allows a discount of 10% atthe time of sale. His gain is :

(A) 18% (B) 17%

(C) 19% (D) 20%

2. A dozen pair of socks quoted at Rs. 80 areavailable at a discount of 10%. How manypairs of socks can be bought for Rs. 24?

(A) 5 (B) 3

(C) 4 (D) 6

3. A shopkeeper always gives discount equal to25% and gains 25%. If the C.P. of the articleis Rs. 1440, then find the MRP.

(A) 4800 (B) 2400

(C) 1100 (D) 12004. By selling an article for Rs.15,600 a man

allows 8% discount and earns 19.6% profit. Ifhe did not give any discount what would be hisprofit percent?

(A) 30% (B) 40%

(C) 25% (D) 20%5. A fan is listed at Rs. 1500 and a discount of

20% is offered on the list price. Whatadditional discount must be offered to thecustomer now to bring the net price to Rs.1104?

(A) 10% (B) 9%

(C) 15% (D) 8%

6. The marked price of a TV is Rs. 16000. Aftertwo successive discounts it is sold for Rs.11400. If the first discount is 5%, then therate of second discount is:

(A) 25% (B) 20%(C) 10% (D) 30%

7. The marked price of a watch is Rs. 1600. Theshopkeeper gives successive discount of 10%and x% to the customer. If the customer paysRs. 1224 for the watch, the value of x is:

x x

(A) 10% (B) 20%(C) 15% (D) 12%

8. An article of cost price Rs. 8000 is marked atRs. 11200. After allowing a discount of x% aprofit of 12% is made. The value of x is:

xx

(A) 25% (B) 20%(C) 22% (D) 21%

9. A machine is marked at Rs. 6800 andavailable at a discount of 10%. Theshopkeeper gives another off season discountto the buyer and sells the machine for Rs.5202. Find the off season discount.

off season

off season (A) 10% (B) 15%(C) 12% (D) 18%

10. Manu Chaudhary marked the selling price ofan article at 10% above the cost price. At thetime of selling he allows certain discountand suffers a loss of 1%. He allowed thediscount of:

(A) 11% (B) 10%(C) 9% (D) 10.5%

Profit, Loss and Discount | 1 6 Maths by Bhagwati Prasad Sir

11. A dealer buys an article marked at Rs. 25000with 20% and 5% off. He spends Rs. 1000 forits repair and sells it for Rs. 25000. What is hisgain or loss percent?

(A) Loss of 25% (B) Loss of 10%(C) Gain of 10% (D) Gain of 25%

12. The marked price of a table is Rs. 800. A retailerbought it after two successive discounts of 10%and 15%. He spent Rs. 13 on transportation andsold it for Rs. 875. His profit was:

(A) 40% (B) 37%

(C) 28% (D) 25%13. The marked price of an electric iron is Rs.

690. The shopkeeper allows a discount of 10%and gains 8%. If no discount is allowed, hisgain percent would be:

(A) 20% (B) 24%

(C) 25% (D) 28%14. In order to maintain the price line a trader

allows a discount of 10% on the marked priceof an article. However, he still marks a profitof 17% on the cost price. Had he sold thearticle at the marked price, he would haveearned a profit percent of:

(A) 30% (B) 32%

(C) 33% (D) 35%15. A shopkeeper allows 25% discount on marked

price and earns 30% profit. If he gets Rs. 90 asprofit, find the amount of the discount.

(A) 125 (B) 135

(C) 140 (D) 130

16. By how much percent a shopkeeper mark hisgoods above its cost price so as by giving 20%discount he may gain 10%?

(A)1

37 %2

(B)1

35 %2

(C)2

37 %5

(D)2

35 %5

17. By how much percent a shopkeeper mark hisgoods above its cost price so as by giving 10%discount he may gain 30%?

(A)4

45 %9

(B)2

46 %5

(C)4

44 %9

(D)5

43 %7

18. A shopkeeper mark his goods at such a pricethat after allowing a discount of 12.5% on themarked price he can earn a profit of 20% ofthe article that cost him Rs. 1400 then find itsmarked price.

(A) 1950 (B) 1925

(C) 1920 (D) 193519. By selling an article for Rs. 15600, a man

allows 8% discount and earns 19.6% profit. Ifthe article is sold at 0% discount what shouldbe the profit %?

(A) 30% (B) 32%

(C) 28% (D) 40%20. By selling an article for Rs. 1170, a man

allows 10% discount and earns 30% profit. Ifthe article is sold at 5% discount what shouldbe the profit %?

(A)4

35 %9

(B)2

37 %9

(C)2

33 %5

(D)5

31 %7

Maths by Bhagwati Prasad Sir 17 Profit, Loss and Discount |

21. An article is listed at Rs. 900 and twosuccessive discounts of 8% and 8% are givenon it. How much would the seller gain or loss,if he gives a single discount of 16% instead oftwo discount?

(A) Gain of Rs 4.76 (B) Loss of Rs 5.76

(C) Gain of Rs 5.76 (D) Loss of Rs 4.7622. In a shop articles are usually sold at 40%

above the cost price. During a sale, theshopkeeper offers a discount of 10% on theusual selling price. If he manages to sell 72shirts for Rs. 13608, then his cost price pershirt is:

(A) 210 (B) 150

(C) 149 (D) 125

23. If a person purchases a shirt, he gets 6%discount. However, if he purchases two shirts,he gets 5% on the first and 8% on the second.If the price paid by the person for two shirts isRs. 925, then what will be the marked price ofeach shirt?

(A) 494 (B) 550

(C) 528 (D) 500

24. A person buys a bag at 25% discount on itsoriginal price. After few days, he sells it to hisfriend at 40% increase on the original price.What is his profit percentage (approx)?

(A) 75% (B) 80%

(C) 87% (D) 85%

25. If in sale, the discount given on a saree isequal to one-fourth the marked price and theloss due to this discount is 15%, then the ratioof the cost price to the selling price is:

(A) 3:4 (B) 4:3

(C) 10:17 (D) 20:17