Question
A vessel contains 80 liters of milk. A milkman removes
20 liters of milk and replaces it with water. He repeats the process two more times. What is the ratio of milk to water in the vessel after the third operation?Solution
Initial quantity of milk = 80 liters After first replacement, milk left = 80 × (60/80) = 60 liters After second replacement, milk left = 60 × (60/80) = 45 liters After third replacement, milk left = 45 × (60/80) = 33.75 liters Water = Total quantity - Milk = 80 - 33.75 = 46.25 liters Ratio of milk to water = 33.75 : 46.25 = 135:185 = 27:37 Correct Option: a) 27:37
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