Question

By selling a bucket for $Rs67.50$, a shopkeeper loses $10\%$. How much per cent would he gain or loss by selling it for $Rs82.50$?

Answer 1

Let x be the price of stood

$x-\frac{10}{100}x=67.50$

$\frac{90}{100}x=67.50$

$x=\frac{67.50\times 100}{90}=75$ Rs.

By selling it for $82.50$

Profit$=82.50-75=7.5$

$\frac{7.5}{75}\times 100=10\%$ profit.