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.

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 %

Tardigrade Admin · Accepted Answer

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

.

∴

Total cost price

= ₹100 x

Total selling price

(

in

₹) = (25) (0) + (25)

(x) (1 - \frac{24}{100}) + (50) (x) (1 + \frac{18}{100})

= (0 + 19 + 59) x = 78 x

, which is less than total C.P.

∴

An overall loss is made.

∴

Overall loss

= ₹22 x

∴ Overall loss percentage = \frac{22 x}{100 x} (100) %

= 22%

Q. 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.

$19%$

$22%$

$3%$

$6%$

Q. 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.

19%

22%

3%

6%

Q. 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.

$19%$

$22%$

$3%$

$6%$