Question
A 180 litre mixture of milk and water contains 40% water. If 'x' litres of milk and 'x' litres of water are added to the mixture, then the quantity of milk in the resultant mixture will be 20% more than that of water. Find the value of 'x'.
Solution
Initial quantity of water in the mixture = (40/100) × 180 = 72 litres
So, initial quantity of milk = 180 − 72 = 108 litres
ATQ;
(108 + x) = (72 + x) × 1.2
Or, 108 + x = 86.4 + 1.2x
Or, 108 − 86.4 = 1.2x − x
Or, 21.6 = 0.2x
So, x = 21.6 ÷ 0.2
So, x = 108
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