Question

An article when sold at a gain of 5% yields Rs 15 more than when sold at a loss of 5%. What is the C.P..

Answer 1

5% gain = 105% of C.P
5% loss = 95% of C.P
Given, the difference between the two is 15
10% of C.P = 15
10/100 * C.P = 15
C.P = 15*100/10 = 150 Rs.

Answer 2

The cost price of the article is Rs. 150.

• Let the cost price of the article be x.

• Article when sold at a gain of 5%.

• Selling price of the article will be 1.05x.

• Now after selling the article for 5% loss, the selling price will be 0.95x.

• Now the given condition is , when sold at a gain of 5% yields Rs 15 more than when sold at a loss of 5%.

0.95x + 15 = 1.05x

15 = 0.1x

x = 150

• Cost price of the article is RS. 150.