CAT 2024 Slot 3 QA Question 8: A certain amount of water was poured into a $300$ litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was taken out from the container whic

Question

A certain amount of water was poured into a $300$ litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was taken out from the container whic

Accepted Answer

Let the initial amount of water be $w$ litres. Then the initial amount of milk is $300 - w$ litres.

The amount of mixture removed is $2w$ litres, so the fraction of the container removed is $\dfrac{2w}{300} = \dfrac{w}{150}$.

Milk left after removal = $(300 - w)(1 - \dfrac{w}{150})$

After refilli