Question

A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?

Answer 1

Let the initial quantity of milk in vessel be T litres.

Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.

Quantity of milk finally in the vessel is then given by [(T - y)/T]n * T

For the given problem, T = 90, y = 9 and n = 2.

Hence, quantity of milk finally in the vessel

= [(90 - 9)/90]2 (90) = 72.9 litres.