Question

A man bought $5$ lemons for Rs.$4$ and sold $3$ of them for Rs.$2$. Find his gain or loss $\%$

• A. gain by $16\frac{2}{3}$$\%$
• B. loss of $16\frac{2}{3}$$\%$
• C. gain by $15\frac{2}{3}$$\%$
• D. loss of $15\frac{2}{3}$$\%$

Answer 1

The correct option is B loss of $16\frac{2}{3}$$\%$

$C.P$ of $5$ lemons $=Rs.4$

$C.P$ of $1$ lemon $=\frac{4}{5}=Rs.0.8$

$S.P$ of $3$ lemons $=Rs.2$

$S.P$ of $1$ lemon $=\frac{2}{3}=Rs.0.667$

Here, $C.P$ is greater than $S.P$, so its a loss.

Therefore,

Loss $=\frac{0.8-0.667}{0.8}\times 100$

Loss =\dfrac{0.133}{0.8}\times 100$

Loss $=16.625\%$

Loss $=16\frac{2}{3}\%$