Question

A man sold two watches, each for Rs. $495$. If he gained $10\%$ on one watch and suffered a loss of $10\%$ on the other, then what is the loss or gain percentage in the transaction?

• A. $1\%$ gain
• B. $1\%$ loss
• C. $\frac{100}{99}\%$ loss
• D. No gain no loss

Answer 1

Answer: (B)

$1\%$ loss

If two items are sold for same price, one at gain of $r\%$, then there is an overall loss of $\frac{r^2}{100}\%$.

Here a man sold two watches each for Rs. $495$. He has gained $10\%$ on one watch and loss at $10\%$, then
Loss $\%$ $=\frac{10\times 10}{100}$ $\%=$ $1\%$