Question
A mixture of milk and water contains 25% water. On
adding 20 litres of water, the quantity of milk becomes 40% more than that of water. Find the initial quantity of water in the mixture.Solution
ATQ, Let the total quantity of mixture initially be '100y' litres. Quantity of water = 0.25 Γ 100y = '25y' litres. Quantity of milk = 100y - 25y = '75y' litres. ATQ: 75y=1.4Γ(25y+20) 75y=35y+28 40y=28 y = 28/40 = 0.7 Therefore, initial quantity of water = 25 Γ 0.7 = 17.5 litres.
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