Question
A vessel contains a mixture of milk and water in the
ratio of 4 : 1. If 25 litres of this mixture is taken out and replaced with milk, making the ratio of milk to water as 9 : 2, then find the quantity of milk (in litres) in the vessel initially.Solution
ATQ: (4x - 4/5 × 25 + 25)/(x - 5) = 9/2 (4x - 20 + 25)/(x - 5) = 9/2 (4x + 5)/(x - 5) = 9/2 8x + 10 = 9x - 45 x = 55 Therefore, quantity of milk initially = 4x = 4 × 55 = 220 litersÂ
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