Question
A mixture contains 40% water and the rest milk. 30
liters from the mixture is replaced with the same quantity of milk. If the ratio of the quantity of milk to that of water in the resultant mixture is 9:2, then find the initial quantity of the mixture.Solution
ATQ, Initial water in the mixture after removing 30 liters is '2x' liters. Total quantity of mixture after removing 30 liters = 2x ÷ 0.4 = '5x' liters. Quantity of milk in the mixture after removing 30 liters = 5x - 2x = 3x liters. Given, {(3x + 30)/2x} = 9/2 Solving, we find x =5. Total quantity of mixture after removing 30 liters = 5 × 5 = 25 liters. Initial quantity of mixture = 25 + 30 = 55 liters.
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