Question
Quantity of milk is 20% more than that of water in 220
litres mixture (milk + water). On adding (n - 6) litres water and (n + 6) litres milk in mixture, ratio of milk to water becomes 7:6. Find the value of 'n'.Solution
Let water = a
Milk = 1.2a
So, a + 1.2a = 2.2a = 220
⇒ a = 100
Water = 100 litres, Milk = 120 litres
Now, (120 + n + 6):(100 + n - 6) = 7:6
⇒ (126 + n):(94 + n) = 7:6
⇒ 6(126 + n) = 7(94 + n)
⇒ 756 + 6n = 658 + 7n
⇒ n = 98
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