Question

A shopkeeper expects a gain of $22.5\%$ on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

• A. $Rs.18.20$
• B. $Rs.70$
• C. $Rs.72$
• D. $Rs.88.25$

Answer 1

The correct option is C $Rs.72$

Given that,

$S.P.=Rs.392$ and $\text{gain}\%=22.5\%$

To find out: profit

We know that, $C.P.=\frac{S.P.\times 100}{100+\text{gain}\%}$

$\therefore C.P.=Rs.(\frac{100}{122.5}\times 392)$

$=Rs.(\frac{1000}{1225}\times 392)$

$=Rs.320$

We also know that, $\text{profit}=S.P.-C.P.$

$\therefore \text{Profit}=Rs.(392-320)$

$=Rs.72$.

Hence, the profit of the shopkeeper on the sale of $Rs.392$ is $Rs.72$.