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. 30%
D. 16%

Answer 1

To find the overall loss percentage, calculate the total cost and selling price of the bananas. The overall loss percentage is found to be 18.75%. The correct answer is C. 30%.

Step-by-step explanation:

To find the overall loss percentage, we need to calculate the total cost and the total selling price of the bananas.

Let's say the merchant bought x bananas.

One-fourth of them got spoiled, so the merchant has (3/4)x bananas left.

The merchant sold another one-fourth of the bananas at a 24% loss, which means he sold (1/4) * (3/4)x = (3/16)x bananas at a loss.

The remaining bananas, which is (3/4)x - (3/16)x = (9/16)x bananas, were sold at an 18% profit.

Hence, the merchant made an overall loss of (3/16)x bananas.

The overall loss percentage can be calculated as:

(Loss / Cost Price) * 100 = (3/16)x / x * 100

Simplifying this expression, we get:

Overall loss percentage = (3/16) * 100 = 18.75%

Therefore, the correct option is C. 30%.