CAT 2024 Slot 2 QA Question 15: 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 total number of fruits initially be $N$ and the number of apples be $A$.
Mangoes are $40\%$ of $N$, so the number of mangoes is $\dfrac{2N}{5}$. Half of them are sold, i.e., $\dfrac{N}{5}$ mangoes are sold.
Since $40\%$ of the apples are sold, $\dfrac{2A}{5}$ apples are sold.
Total fruits so