Question

A person sold an article for Rs. 75 which cost him Rs. x. He finds that he realised x% profit on his outlay. What is x equal to ?
1. 20%
2. 25%
3. 50%
4. 100%

Answer 1

Correct Answer - Option 3 : 50%

Given:

Cost price of the article = Rs. x

Selling price of the article = Rs. 75

Profit% = x%

Formula used:

Profit% = [(S.P - C.P)/C.P] × 100

Calculation:

According to the question,

x = [(75 - x)/x] × 100

⇒ x² = 7500 - 100x 

⇒ x(x + 100) = 7500

⇒ x(x + 100) = 50(50 + 100)

On comparing both sides,

x = 50

∴ The value of x is 50.