CAT 2021 Slot 2 QA Question 22: From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water

Question

From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water

Accepted Answer

Let the capacity of the container be $V$ litres.

After each operation, the fraction of milk left in the container is multiplied by
$1-\dfrac{9}{V}$

After two such operations, the milk-to-water ratio is $16 : 9$. Hence, the milk fraction is $\dfrac{16}{25}$.
$\left(1-\dfrac{9}{V} \right)^2=\dfrac{1

From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is