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    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?
    A 27:37 Correct Answer Incorrect Answer
    B 64:27 Correct Answer Incorrect Answer
    C 125:64 Correct Answer Incorrect Answer
    D 343:125 Correct Answer Incorrect Answer

    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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