 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 