Question
In a mixture of milk and water, the quantity of water is
40 litres more than that of milk. When 100 litres of milk is added to the mixture, then the quantity of water becomes 50% less than that of milk. Find the initial quantity of the mixture.Solution
ATQ, Let the initial quantity of milk be ‘x’ litres. Therefore, initial quantity of water = (x + 40) litres. According to the question, (x + 40) = 0.5(x + 100) Solving, (x + 40) = 0.5x + 50 0.5x = 10 x = 20 Therefore, initial quantity of mixture = (x + x + 40) = (20 + 20 + 40) = 80 litres.
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