Question

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

Answer 1

Answer:

Let cost price be Rs. x

Profit =Rs. 1005x

∴  Selling price =Rs. 100105x

New selling price =Rs.

$( \frac{105x}{100} )$

Answer 2

$\: \huge\mathbb\colorbox{black}{\color{white}{AnSwEr}}$

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.

hope it was helpful to you