CAT 2023 Slot 3 QA Question 14: A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of th

Question

A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of th

Accepted Answer

Let the initial total number of fruits be T. Then the number of mangoes is $\dfrac{2T}{5}$, so the number of mangoes sold is $\dfrac{T}{5}$.

Let the number of apples be A. The total number of fruits sold is 50% of T.

$\dfrac{T}{5} + 96 + \dfrac{2A}{5} = \dfrac{T}{2}$
$2T + 960 + 4A = 5T$
$A = \dfr