Question

A man sells two watches for $1000$ each. On one, he gains $12\%$ and on the other, he loses $12\%$. Find how much percent he gains or loses in the whole transaction.

• A. $1.44\%$ loss
• B. $1.44\%$ gain
• C. $2.5\%$ loss
• D. $2.5\%$ gain

Answer 1

The correct option is A $1.44\%$ loss

Clearly, there will be loss.
$Loss\%={\left(\frac{12}{10}\right)}^2=\frac{144}{100}\%=1.44\%$