Question

A man sold 2 watches at ₹450 each. He sold one at a loss of 15% and the other at a profit of 15%. His profit or loss is :

• A. 5% Loss
• B. 2.5% Profit
• C. 2.25% Loss
• D. 5% Profit

Answer 1

The correct option is C

2.25% Loss

When a man sells two items at the same price and with a loss of X% on one and a profit of X% on the other, then there is always an overall loss.

Loss% = X% of X = $\frac{X}{100}\times X$ = $\frac{X^2}{100}$

In this question, X = 15

$\therefore$ Loss% = $\frac{{15}^2}{100}$ = 2.25%