Question
A Vessel if full of milk, 5 litre of milk is taken out
and replaced by water. This process is repeated once more, find the initial amount of milk in the vessel if at the end, the ratio of milk to water becomes 144:25.Solution
Final Quantity = Initial Quantity (1- x/c)n Where, C = capacity vessel x = Quantity taken out at a time n = number of repetition Milk : Water 144 : 25 Initial Mixture = 144 + 25 = 169 units 144 = 169 (1- 5/c)² On square root both the sides 12 = 13(1 - 5/c) 5/c = 1 - 12/13 5/c = 1/13 c = 65litre
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