Question

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

Answer 1

Answer: 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.