Aptitude - Profit and Loss

1.

Ramesh sold an umbrella for Rs. 680, losing 15%. The cost price of the umbrella is :

Answer

Answer :

Option B

Explanation :


Let the C.P. be Rs. x. Then, S.P. = 85% of Rs. x
85100 x x = 680 ⇒ x = 680 x 2017 = 800
∴ C.P. = Rs. 800
2.

If selling price is doubled, the profit triples. The profit percent is :

Answer

Answer :

Option B

Explanation :


Let C.P. be Rs. x and S.P. be Rs. y
Then, profit = Rs. (y − x)
Again, S.P. = Rs. 2y and profit = Rs. 3(y − x)
C.P. = (S.P.) − (Profit) = 2y − 3(y − x) = 3x − y
∴ 3x − y = x ⇒ y = 2x
⇒ Profit % = xx x 100 % = 100%
3.

The profit earned after selling an article for Rs. 625 is the same as loss incurred after selling the article for Rs. 435. The cost price of the article is :

Answer

Answer :

Option B

Explanation :


Let the C.P. be Rs. x. Then,
625 − x = x − 435 ⇒ 2x = 1060 ⇒ x = 530
∴ C.P. = Rs. 530
4.

A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If the marked price is Rs. 800, then the cost price is :

Answer

Answer :

Option A

Explanation :


M.P. = Rs. 800 and discount = 10%
∴ S.P. = Rs. = 90100 x 800 = Rs. 720, profit = 20%
∴ C.P. = Rs. 100120 x 720 = Rs. 600
5.

A shopkeeper sells a badminton racket whose marked price is Rs. 30, at a discount of 25% and gives a shuttlecock costing Rs. 1.50 free with each racket. Even then he makes profit of 20%. His cost price per racket is :

Answer

Answer :

Option B

Explanation :


M.P. = Rs. 30, discount = 15% and Rs. 1.50 more.
S.P. = Rs. 85100 x 30 − 1.50 = Rs. (25.50 − 1.50) = Rs. 24, Gain% = 20%
∴ C.P. = Rs. 100120 x 24 = Rs. 20
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