Question

A fruit merchant bought some bananas. One fourth of them got spoiled. He sold another one-fourth of them at $24 \%$ loss and the remaining at $18 \%$ profit. Find his overall loss percentage.

• A. $19 \%$
• B. $22 \%$
• C. $3 \%$
• D. $6 \%$

Answer 1

Answer: (B)

Suppose the merchant bought 100 bananas. 25 of them got spoiled. 25 of them were sold at $24 \%$ loss and the remaining 50 of them were sold at $18 \%$ profit.
Let the cost price of each banana be $₹ x$.
$\therefore$ Total cost price $=₹ 100 x$
Total selling price $($ in $₹)=(25)(0)+(25)$
$(x)\left(1-\frac{24}{100}\right)+(50)(x)\left(1+\frac{18}{100}\right)$
$=(0+19+59) x=78 x$, which is less than total C.P.
$\therefore$ An overall loss is made.
$\therefore$ Overall loss $=₹ 22 x$
$\therefore \text { Overall loss percentage } =\frac{22 x}{100 x}(100) \% $
$ =22 \%$