CAT 2024 Slot 1 QA Question 13: A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the orang

Question

A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the orang

Accepted Answer

Let the number of apples and mangoes be $5x$ and $2x$ respectively.
Number of oranges = $187 - 7x$
After selling, the unsold apples and oranges are:
Unsold apples = $5x - 75$
Unsold oranges = $\dfrac{187 - 7x}{2}$
The ratio of unsold apples to unsold oranges is $3 : 2$.
$2(5x - 75) = \dfrac{3(187 -