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PROFIT & LOSS1. A man buys an article for Rs.1250 and sells

for Rs.1437.50. Find his profit percent.A) 12.5% B) 25% C) 18% D) 15%E) None of these

2. The dealer charges his customers 14% morethan the cost price. If a customer paid Rs. 17556 for a television, then what was thecost price of the television? A) Rs.14800 B) Rs.15400C) Rs.16800 D) Rs.15000E) None of these

3. The cost of 12 pens and 18 pencils is Rs.624. What is the cost of 4 pens and 6pencils?A) Rs.312 B) Rs.416 C) Rs.208 D) Cant be determined E) None of these

4. A man sold an article for Rs.83.60 at a lossof 12%. At what price should he have sold itto gain 12%?A) Rs.106.40 B) Rs.95C) Rs.108.50 D) Cant be determinedE) None of these

5. A sells an article to B at a gain of 15% andB sells it to C at a gain of 10%. If C paysRs.462 for it, what did it cost to A?A) Rs.350 B) Rs.225C) Rs.250 D) Rs.325E) None of these

6. Pavan purchased 30 kg of rice at the rate ofRs.17.50 per kg and another 30 kg rice at acertain rate. He mixed the two and sold theentire quantity at the rate of Rs.18.60 per kg

and made 20% overall profit. At what priceper kg did he purchase the second lot?A) Rs.17.60 B) Rs.15.70C) Rs.12.60 D) Rs.12.30E) Rs.13.50

7. A man buys 5 horses and 10 cows forRs.1600. He sells horses at a profit of 15%and cows at a loss of 10%. If his overall prof-it was Rs.90, what was the cost price of ahorse?A) Rs.170 B) Rs.60C) Rs.260 D) Rs.200E) None of these

8. A shopkeeper marked an article at Rs. 560and sells for Rs.448. Find the discount percent he offered.A) 20% B) 15% C) 25%D) 16% E) None of these

9. An article is marked at Rs.120 and 20%

discount is offered on it. Howmany such articles can bebought for Rs.3264?A) 24 B) 34 C) 26D) 28 E) None of these

10. A man buys 120 litres of oil for Rs. 3360. Hesells 80 litres of oil for Rs.32 per litre andremaining at Rs.24 per litre. Find his overallprofit / loss%?A) 3.6% loss B) 4.2% profit

C) 4.8% profitD) 2.8% lossE) None of these

11. A dishonest dealerprofesses to sellhis goods at thecost price, but usesonly 750 grams inplace of a kilogramweight. Find his profit percent.A) 20% B) 25% C) 30% D) 15%E) None of these

12. A trader buys an article for Rs.510. Heallows 15% discount on it and yet gains12%. Find the rate at which he marked thearticle.A) Rs.580 B) Rs.672C) Rs.664 D) Rs.675E) None of these

13. A dealer allows 10% discount onthe list price of a certain articleand yet makes a profit of 25% oneach article. Find the cost priceof the article when list price isRs.50.

A) Rs.36 B) Rs.32C) Rs.38 D) Rs.42

E) None of these14. Due to 20% reduction in the price of rice,

Hari is able to purchase 6 kg more rice forRs.120. What was the original rate of rice?A) Rs.5 / kg B) Rs.4 / kgC) Rs.4.25 / kg D) Rs.4.80 / kgE) Rs.5.20 / kg

15. Arun purchased a box of pencils at the rate

of 6 for Rs.9 and sold all of them at the rateof 7 for Rs.11. If he gains Rs.9, how manypencils did the box contain?A) 42 B) 126 C) 21D) Cant be determinedE) None of these

16. A shopkeeper buys an article for Rs.528.He offers 12% discount on selling the articleand yet gains 18%. Find the rate at whichhe marked the article.A) Rs.713 B) Rs.578C) Rs.708 D) Rs.653E) None of these

17. A fruit seller buys 60 oranges for Rs.480.Five oranges were spoilt in transportation. Ifhe sells the remaining oranges at Rs.12each, find his profit or loss percent.A) 25% loss B) 32.5% profitC) 20% profit D) 35% profitE) None of these

18. A certain number of articles were pur-chased for Rs.90. Three more articles couldhave been purchased for the same amountif each article was cheaper by Rs1. Find thenumber of articles purchased.A) 12 B) 28 C) 18 D) 155) None of these

What was the cost price of a horse?

G.S. Giridhar

Numerical Ability

ANSWERS

1-D; 2-B; 3-C; 4-A; 5-C; 6-E; 7-D; 8-A; 9-B; 10-C; 11-E; 12-C; 13-A; 14-A; 15-B;16-C; 17-E; 18-D.

(Writer - Director, RACE Institute, Hyderabad)

EXPLANATIONS

1437.5 1250 1. Profit% = 100

1250

187.5 100 = 15%

1250

1002. Cost Price = 17556 = Rs.15400

100 + 14Shortcut:

Cost Price is 100%, Profit% = 14% thereforeS.P. = 114%

100If 114% = 17556, then 100% = 17556

114 = Rs.15400

3. Given, 12 pens and 18 pencils cost price asRs.6244 pens & 6 pencils are one-third of givennumbers

624 Cost price of 4 pens & 6 pencils =

3= Rs. 208

4. S.P. = 83.60, Loss% = 12%,100 100 C.P. = 83.60 83.60

100 12 88= Rs.95

Now, C.P. = 95, P% = 12%100 + 12 112

S.P. = 95 95 100 100

= Rs.106.40Shortcut: Let the cost price be 100%, then for 12% lossthe S.P. = 88% and for 12% profit it is 112%

112If 88% = 83.60, then 112% = 83.60

88= Rs.106.40

5. Let the cost price of A be Rs.100, then theselling price = Rs.115 Now, the cost price of B be Rs.115

110Selling price of B = 115 = Rs.126.50

100

C.P. of C = 126.50But the cost price of C is given = Rs.316.25If the cost price of C is Rs.126.50, then the C.P.of A = Rs.100If the cost price of C is Rs.316.25, then the

316.25C.P. = 100 = Rs. 250

126.50Shortcut:Let the C.P. of A be Rs.x then115% of 110% of x = 316.25

115 110 x = 316.25 100 100

100 100 x = 316.25 = Rs.250

115 1106. Let the second lot be Rs.x

120% of (30 Rs.17.50 + 30 x) = (30 + 30) 18.60

x = Rs.13.507. Let the C.P. of 5 horses be Rs.x, then C.P. of

10 cows = Rs (1600 x) 15% x 10% (1600 x) = Rs.90

x = Rs.1000C.P. of 5 horses = Rs.1000

1000 C.P. of one horse = = Rs.200

5560 448

8. Discount % = 100560

112 100 = 20%

5609. M.P. = Rs.120, Discount = 20%

S.P. = 80% of 120 = Rs.96 Article is available at Rs.96 Number of articles bought for

3264 Rs.3264 = = 34

9610. C.P. of 120 litres = Rs.3360S.P. of 80 litres at Rs.32 = 80 32 = Rs.2560S.P. of 40 litres at Rs.24 = 40 24 = Rs.960

Total S.P. of 120 litres = 2560 + 960 = Rs.3520

Profit = 3520 3360 = Rs.160160 Profit% = 100 = 4.8%

3360Original Weight False Weight

11. Profit% = 100False Weight

1000 750 P% = 100

750 250 1 100 = 33 %750 3

12. C.P. = 510, Profit% = 12%, Discount% = 15%

100 + 12% 112 M.P. = 510 510 = Rs.672

100 15% 85100 + 25%

13. 50 = C.P.100 1090

C.P. = 50 = Rs.36125

14. With 20% money he buys 6 kg rice.With 100% money he can buy 30 kg.

Original quantity is 30 6 = 24 kg.120

rate = = Rs.5 per kg24

15. LCM of 6 and 7 is 42Cost price of 6 pencils is Rs.9

42 Cost price of 42 pencils = 9 = Rs.63

6Selling Price of 7 pencils is Rs.11

42 Selling price of 42 pencils = 11

7= Rs.66

Gain = 66 63 = Rs.3If the gain is Rs.3, he purchased 42

pencils, when the gain is Rs.9, thenthe number of pencils = 42 3 = 126

100 + profit% 16. Marked Price = cost price

100 discount%

100 + 18 M.P. = 528 = Rs.708

100 1217. Cost Price = Rs.480

Selling Price = 55 Rs.12 = Rs.660Profit = 660 480 = Rs.180

180 Profit % = 100 = 37.5% 480

18. Let the number of articles be 'x'90 90 = 1 x = 15x x + 3

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