Question

A shopkeeper sold an article at a loss of 20%.If the selling price had been increased by Rs.100, there would have been a gain of 5%. What was the cost price of the article?

• A. Rs. 400
• B. Rs. 500
• C. Rs. 450
• D. Rs. 520

Answer 1

The correct option is A

Rs. 400

Let the C.P be Rs. x.

Given, the loss is 20% when the article is sold at selling price.

And gain% is 5 % when the article is sold Rs.100 more than the selling price.

So, the S.P when it is sold for a loss of 20% = $x\times \frac{80}{100}$ = $\frac{4x}{5}$

When It is sold for 100 rupees more the gain is 5% = $\frac{4x}{5}+100$ = $x\times \frac{105}{100}$

$\frac{x}{4}$ = Rs.100

$x$ = Rs. 400

So, the cost price of the article is Rs. 400.