 Profit and loss problems are one of the main topic regarding UPSC and IAS. Always practice for mathematics. Because you can only master mathematics just by practising it.

Profit and loss problems and questions

Q.(1) A person bought two articles A and B for Rs. 20,000. he sold A at 20% profit and B at 20% loss. He thus gained 2% on his out lay.The cost price of A was ?

(A) Rs. 9,000

(B) Rs. 10,000

(C) Rs. 11,000

(D) Rs. 12,000

20 Unit = 20,000

1 Unit =  1,000

11 Unit = 11,000

The CP of A was 11,000

Q.(2) A person sold an article at 20% profit on the selling price. After wards, when the cost price reduced by 10%, then he also reduced the selling price by 10%. His percentage of profit cost price will be

(A) 30

(B) 25

(C) 22.5

D) 12.5

Q.(3) A person buys a bag at 10% discount on its original price, After few days, he sells it to his friend at 20% increase on the original price. What is his profit percentage?

(A) 12.5%

(B) 33.33%

(C) 16.66%

(D) 25%

Let Original Price = 100

Q.(4) A loss of 25% gets converted into a profit of 20% when the selling price of an article is increased by Rs. 90. Find the cost price of the article ?

(A) Rs. 100

(B) Rs. 150

(C) Rs. 200

(D) Rs. 250

Let S.P = 100

45 = 90

1 = 2

100 = 200

Q.(5)  In selling an article for Rs.76 there is a profit of 52%. If it is sold for Rs. 75, then profit percent will be

(A). 44%

(B). 46%

(C). 48%

(D). 50%

Let C.P = 100

152 = 76

1   = ½

100 = 50

CP = ₹ 50

If SP = ₹ 75

Q.(6)An article is sold at a profit of 25%. if it had been sold at a profit of 30%, it would have fetched Rs. 60 more. The cost price of the article is:

(A). Rs. 1000

(B). Rs. 1100

(C). Rs. 1200

(D). Rs. 1500

Let C.P = 100

5 U = 60

1U  = 12

100 U = Rs. 1200

Q.(7)  By selling a basket for Rs. 195, a shopkeeper gains 30%.For how much should he sell it to gain 40%?

(A). Rs. 210

(B). Rs. 210.50

(C). Rs.240

(D). Rs. 230

Let C.P = 100

130 = 195

1   =  1.5

100 = 150

CP   =  150

Q.(8) A man gets Rs. 13 more by selling an article at a profit of 12.5% than selling it at a loss 12.5%. The cost price of the article is:

(A). Rs.25.50

(B). Rs. 38

(C). Rs.52

(D). Rs. 65

Let C.P = 8 Unit

2 = 13

1 = 13/2

8 = 13/2 × 8 = 52

Q.(9)  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

Let C.P = 100 Unit

20 Unit = 10

1 Unit = ½

100 Unit = 50

CP of the Article is 50

Q.(10) If a man were to sell his chair for Rs. 720, he would loss 25%. To gain 25% he should sell it for

(A). Rs. 1,200

(B). RS. 1,000

(C). Rs. 960

(D). Rs. 900

25% = ¼

3 = 720

1 = 240

4 = 960

4 = 960

1 = 240

5 = 1200

SP = Rs. 1200 