Question
A vessel contains a mixture of
milk and water in the ratio 7:2 respectively. 90 liters of the mixture is taken out of the vessel and is replaced with 10 liters of water, so that the ratio of milk to water in the vessel becomes 4:1. Find the initial quantity of water in the vessel.Solution
ATQ,
Let the initial quantities of milk and water in the vessel be β7xβ liters and β2xβ liters respectively. When 90 liters of mixture is taken out, Quantity of milk taken out = (7x/9x)Γ90 = 70 liters Quantity of water taken out = 90 β 70 = 20 liters According to the question, the new ratio is 4:1: 
So, the initial quantity of water in the vessel = 30Γ2 = 60 liters.
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