Question

A shopkeeper sold an article at a gain of 5%.If he had sold it for ₹16.50 less,he would have lost 5%.Find the cost price of the article.

Answer 1

let CP of the article = x
at 5% gain, SP of article = x + (5/100)x = 1.05x
at 5% loss, SP of article = x - (5/100)x = 0.95x

given that 1.05x - 0.95x = 16.5
⇒ 0.1x = 16.5
⇒ x = 16.5/0.1
⇒ x = Rs. 165.

The cost price of the article is Rs. 165.

Answer 2

hope u understand that.....