PROFIT & LOSS

1. The cost price of 36 books is equal to the selling price of 30 books. The gain per cent is :

(a) 20% (b) (c) 18% (d)

2. If the cost price of 15 tables is equal to the selling price of 20 tables. The loss percent is :
(a) 20% (b) 30% (c) 25% (d) 37.5%

3. If selling price of an article is times of its cost price , the profit percent on it is :

(a) 120% (b) 160% (c) 40% (d) 60%

4. In selling an article for Rs.76, there is a profit of 52%. If it is sold for Rs.75, the profit percent will
be
(a) 44% (b) 46% (c) 48% (d) 50%
5. If the loss of percent on article is 15%. Then the ratio of the cost price and sell price will be .
(a) 17:20 (b) 20:17 (c) 23:15 (d) 15:23
6. A man wanted to sell an article with 20% profit; but he actually sold at 20% loss for Rs. 480, At
what price he wanted to sell it to earn the profit?
(a) Rs, 720 (b) 840 (c) Rs. 600 (d) Rs. 750
7. On selling an article for Rs.105 a trader loses 9%. To gain 30% he should sell the article at
(a) Rs.126 (b) Rs.144 (c) Rs.150 (d) Rs.139
8. By selling a table for Rs.350 instead of Rs.400, loss per cent increases by 5%. The cost price of
table is :
(a) Rs.1,050 (b) Rs.417.50 (c) Rs.435 (d) Rs.1,000
9. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the
percentage of profit will be :
(a) 40 (b) 140 (c) 100 (d) 120
10. A man sells an article at 10% loss. If he had sold it at Rs.10 more, he would have gained 10%. The
cost price of the article is
(a) Rs.50 (b) Rs.55 (c) Rs.100 (d) Rs.110
11. A book seller sells a book at a profit of 10%. If he had bought at 4% less and sold it for Rs.6 more.

He would have gained . The cost price of the book is

(a) Rs.130 (b) Rs.140 (c) Rs.150 (d) Rs.160

12. A sells an article to B at a gain of 25% B sells it to C at a gain of 20% and C sells it to D at a gain of
10%. If D pays Rs. 330 for it, how much did it cost to A?
(a)Rs 200 (b)Rs 250 (c)Rs 275 (d)Rs 290
13. A person A sells a table costing Rs 2000 to a person B and earns a profit of 6%. The person B sells
it to another person C at a loss of 5%. At what price did B sell the table?
(a)Rs 2054 (b)Rs 2050 (c)Rs 2024 (d)Rs 2014
14. A shopkeeper sells his goods at 10% profit, Had he bought it 20% less and sold it Rs 54 more, he
earns 60% profit. Find new S.P. (selling price).
(a)Rs 374 (b)Rs 364 (c)Rs 384 (d)Rs 394
15. Raghavan purchased a scooter at of its selling price and sold it at 12% more than its selling
price. His gain is:
(a) 20% (b) 30% (c) % (d) %
16. A cloths merchant allows 25% discount on the marked price of an article and he suffered a loss
of 15%. What will be the profit percent if the article is sold at marked price?

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a) 11.76 b) 12.12 c) 13.33 d) 14.28
17. The marked price is 20% higher than cost price. A discount of 20% is given on the marked price.
By this type of sale, there is
a) no loss no gain b) 4% gain c) 4% loss d) 2% loss
18. A trades man marks his goods at such a price that after allowing a discount of 15%, he makes a
profit of 20%. What is the marked price of an article whose cost price is Rs.170?
a) Rs.220 b) Rs.200 c) Rs.240 d) Rs.260
19. A shopkeeper gains Rs.56 on a toy after allowing 23% discount on its marked price. If his gain is
10%, then the marked price of the toy is
a) Rs.810 b) Rs.800 c) Rs.560 d) Rs.740
20. Kapil sold two bikes for Rs.50000 each. On one he gains 14% and on the other, he losses 14%.
Find his gain or loss percent in this whole transaction.
a) 1.96% loss b) 1.96% gain c) 1.15% loss d) 1.15% loss
21. A shopkeeper marks the price of his table 30% above the cost price. He allows his customers a
discount of 12% on the marked price. What is the profit percentage?
a) 14.4% b)18% c) 16 .66% d) 12.5%
22. A man buys an article for Rs.80 and marks it as Rs.120. He, then allows a discount of 40%. What
is the loss or gain percent?
a) 12% gain b) 12% loss c) 10% gain d) 10% loss
23. A retailer gets a discount of 40% on the printing price of an article. The retailer sells it at the
printing price. His gain percent is
a) 40 b) 55 c) d) 75
24. A retailer gets a discount of 40% on the printing price of an article. The retailer sells it at the
printing price. His gain percent is
a)40 b)55 c) d)75
25. An item of marked Rs 240 for sale. If two successive discounts of 10% and 5% are allowed on the
sale price, the selling price of an article will be
a)Rs 205.20 b)Rs 204 c)Rs 34.80 d)Rs 36
26. Successive discounts of and are given on the marked price of a cupboard. If the
customer pays Rs 2590, then what is the marked price?
a)Rs 3108 b)Rs 3148 c)Rs 3200 d)Rs 3600
27. The marked price of a watch is 1000. A retailer buys it at 810 after getting two successive
discounts of 10% and another rate which is illegible. What is the second discount rate?
a) 15% b) 10% c) 8% d) 6.5%

28. A tradesman marks his goods at 25% above its cost price and allows purchasers a discount of
for cash payment. The profit, he thus makes, is

a) b) c) d)

29. Person paid Rs.17,000 for a motor-car after a single discount of 15%. If he is given successive
discounts of 5% and 10% then how much he would pay ?
a) Rs.17,000 b) Rs.17,010 c) Rs.17,100 d) Rs.18,900
30. A merchant loses 10% by selling an article. If the cost price of the article is Rs.15, then the selling
price of the article is
a) Rs.13.20 b) Rs.16.50 c) Rs.12.30 d) Rs. 13.50
31. A house and h shop were sold for Rs.1 lakh each, In this transaction, the house sale resulted into
20% loss whereas the shop sale into 20% profit . The entire transaction resulted in :

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a) no loss no gain b) gain of Rs.

c) loss of Rs. lakh d) loss of Rs. lakh

32. A man sells two pipes at Rs.12 each, He gains 20% on one and loses 20% on the other. In the
whole transaction, there is
a) Neither loss nor gain
b) Profit of Rs.1
c) Loss of Rs.1
d) Profit of Rs.2
33. A man bought a watch for 10% discount . If he had bought for 20% discount he would have got
the watch for Rs 125 .The marked price of the .
a) Rs.2500 b) Rs.1250 c) Rs.3750 d) Rs.1000
34. A television and a refrigerator were sold for Rs.12,000 each If the television was sold at a loss of
20% of the cost and the refrigerator at a gain of 20% of the cost, the entire transaction resulted
in
a) No loss or gain b) Loss of Rs.1,000 c) Gain of Rs.1,000 d) Loss of Rs.1,200
35. A cloth merchant has announced 25% rebate in price. If one needs to have a rebate of Rs. 40
then how many metres of cloth costing Rs.32 per metre he should purchase.
a) 6 m b) 5m c) 10m d) 7m

36. An article marked at Rs.840 is sold at Rs.588 at a loss of 2%. By what percent above the CP was it
marked?
a) 20% b) 40% c) 60% d) 50%
37. A man purchased some fruits for Rs. 1000. He sold fruits worth Rs. 400 at 10% profit. At what
profit percent, must he sell the rest in order to gain 20% on the whole?
a) b)25% c)30% d)
38. A shopkeeper purchased a chair marked at Rs 800 at two successive discounts of 10% and 15%
respectively. He spent Rs 28 on transportation and sold the chair for Rs 800 his gain percent is
a)40 b)30 c)25 d)14
39. Nikita bought 30 kg of wheat at the rate of Rs 4.75 per kg, 40 kg of wheat at the rate of Rs 4.25
per kg and mixed them. She sold the mixture at the rate of Rs 4.45 per kg. Her total profit or loss
in the transaction was
a)Rs 1 loss b)Rs 1 profit c)Rs 3.50 loss d)Rs 3.50 profit
40. A trades man gives 4% discount on the marked price and gives 1 article free for buying every 15
articles and thus gain 35%. The marked price is increased above the cost price by
a)40% b)39% c)50% d)20%
41. Half of 100 articles were sold at a profit of 20% and the rest at a profit of 40%. If all the articles
had been sold at a profit of 25%, the total profit would have been Rs 100 less than earlier profit.
The cost price of each article was
a)Rs 10 b)Rs 15 c)Rs 20 d)Rs 30
42. A man sells two tables at the same price. On one he makes a profit of 10% and on the other he
suffers a loss of 10%. His loss percent on the whole transaction is
a) 0 b) 1 c) 2 d) 5
43. A radio dealer sold a radio at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have
gained 7 %. In order to gain 12 % he should sell it for
a)Rs. 1080 b)Rs. 1125 c)Rs. 850 d)Rs. 925

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44. A dealer offers a discount of 10% on the marked price of an article and still makes a profit of
20%. If its marked price is Rs.800, then the cost price of the article is:
a) Rs.900 b) Rs.800 c) Rs.700 d) Rs.600
45. A radio is sold for Rs.990 at a profit of 10%, what would have been the actual profit or loss on it,
had it been sold for Rs.890?
a) Rs.10 loss b) Rs.10 profit c) Rs.90 loss d) Rs.90 profit
46. Sandeep sells an article at a loss of 10%. Had he bought it at 20% less and sold it for Rs.55 more,
he could have gained 40%. What is the cost price of the article?
a) Rs.200 b) Rs.225 c) Rs.250 d) Rs.275
47. A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of 40, then
how many meters of cloth costing 32 per metre he should purchase.
a) 6 m b) 5 m c) 10 m d) 7 m
48. A shopkeeper buys an article at a discount of 20% on the listed price from a wholesaler. The
shopkeeper marks up the price by 15% on the listed price. A buyer pays Rs.3795 to get it after
paying sales tax at the rate of 10% on the price asked for. Find the profit percentage of the
shopkeeper.
a) 36.75% b) 32.25% c) 43.75% d) 38.75%
49. An article is listed at Rs.2375. A man purchases it at two successive discounts of 50% and 25%
and spends Rs.165 on repairing of article. If he sells the article at a profit of 62.5%, what is the
selling price (in Rs.) of the article?
a) 1467.6 b) 1492.6 c) 1715.39 d) 1467.6
50. The profit earned after selling an article for Rs. 878 is the same as loss incurred after selling the
article for Rs. 636. What is the cost price of the article?
a) Rs. 797 b) Rs. 787 c) Rs. 767 d) Rs. 757

EXPLANATION:

1. a;
36 CP = 30 SP

1 (profit)

Profit =

2. c;
According to question,
CP of 15 tables = SP of 20 tables

5 units loss

3. d;
According to questions

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4. d;
According to question
CP SP

100 152

52% profit Actual SP Rs.76

152 units Rs.76

1 unit

5. b;
The loss of percentage Article is 15%

SP = 17
CP : SP = 20:17
6. a;
ATQ
Loss = 20%
SP = 100%-20 =80%
80% =480
1 = 480/80

(Profit 20%)

7. c;
According to question,
For 9% loss
CP Loss SP
for 30% profit
100 9 91
CP profit SP
100 30 130
105

8. d;
According to question,

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Difference in Price = 400 -350
= Rs.50
as 5% = Rs.50
1% = Rs.10
C.P. = 100% = 10 100
=Rs.1000
9. b;
According to question

If he sell double the price means SP = 120 2= 240

10. a;
Let CP of The article =100 units
According to question

20 unit Rs.10

1 unit

SP of the article is = Rs.50

11. c;
Let CP of the book = 100 units

4 units = 6

1 units =

100 units =

12. a;

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13. d;

14. c;

15. d;
Let marked price be Rs.x
C.P. = Rs.

S.P. = Rs.

Profit = Rs.

= Rs. Rs.

Profit% =

= %
16. c; 75% of MP = 85% of CP

Profit percent will be

17. c;
Let CP be Rs.100.
Then, marked price is 20% higher than CP
Marked price = 120% of CP =
Now, 20% discount is given on marked price, then
SP =

=
Loss = CP – SP = 100 – 96 = 4
Loss percentage =
18. c;

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SP =

= Rs.204
Now, marked price – 15% of marked price = SP
Let marked price = x

Rs.240

Marked price = Rs.240

19. b;
Let the marked price be Rs.x.
Selling price after giving 23% discount =
Percentage profit = 10%
Cost price on

Profit =

Rs.800
So, the marked price = Rs.800
20. a;
In such case, loss is incurred always.
According to the formula,

Loss percent =

=
(a = common loss or gain percent)
21. a;
Let CP = 100
MP = 130
SP =130×88/100=114.4
Profit percentage = 14.4%
22. d;
CP of the article = Rs.80
And marked price of the article = Rs.120
SP of the article = = Rs.72

Loss =

= = 10%
23. c;
Let the printing price = Rs.x

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CP for the retailer =

On selling at printing rate, the profit = Rs.

Profit = = =
24. c;

25. a;

26. c;

27. b;

Price after 10% first discount

Gain:
Price after second discount
= Rs.810
Second discount
= 900 -810 = Rs.90
Percentage of seconds discount

28. a;

Here , r= 25%

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29. c;

Let ‘x’ be the marked price

Single Discount = 15%

85% of x = 17,000

Required SP
=17100
30. d;

S.P. of article

31. c;
According to questions,
House shop
CP 10 10
20%loss 20%gain
SP 8 12
For same SP Total
CP
Loss = 8 units
SP 192
A.T.Q, 192 units =2 lakhs

1 unit = lakh

32. c;
According to questions,
Pipe -1 Pipes -2 Total

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CP 200
Loss 8 units
SP 192
Make SP same 24
192 units Rs.24

33. b;

1 unit = 125
100 unit = 125 10= 1250
Marked price = 1250
34. b;
According to question,
TV Refrigerator Total
CP 50 2 unit loss
-20% loss +20% profit
SP 48 Actual (SP) 2400
To make Sp same
35. b;

Required no. of meters = .

36. b;

Loss% =

Or,
Or, CP = Rs.600
Loss = Rs.240
Required% =
37. a;

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38. c;

39. a;

40. c;

41. c;

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42. b;

43. b;
Let CP of the radio = 100 unit
According to question,

10 units = 100
1 unit = = 10
100 units = 100 10 = 1000
CP of the radio = Rs. 1000
to gain 12 % SP of the radio = = Rs. 1125
44. d;

S.P. of that article = Rs.720

He still makes 20% profit
C.P. of that article = Rs.600
45. a;

CP of radio = Rs.900
Loss = Rs.10
46. c;

C.P. of article = Rs.x (let)

First S.P. = Rs.

Case II,

C.P. = Rs. = Rs.

According to the question,

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Rs.250

47. b;

5m
48. c;
Let the listed price = Rs.100
CP of shopkeeper = 100 -20 =Rs.80
Marked price by shopkeeper = 100 + 15 = Rs.115
Now, 115 =

CP of shopkeeper = Rs.2400
Profit = 3450 -3400 =1050
profit % =
49. c;

50. d;
Cost price of the article
Rs. 757

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