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    Question

    A container contains milk and water in the ratio 2:1. 30

    litres of mixture is removed and 15 litres of water is added so that the quantity of milk is 5 litres more than water. Find the initial quantity of the mixture.
    A 120 litres Correct Answer Incorrect Answer
    B 180 litres Correct Answer Incorrect Answer
    C 90 litres Correct Answer Incorrect Answer
    D 147 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Milk after removal = 2x – 30 × 2/3 = 2x – 20 litres
    Water after removal = 1x – 30 × 1/3 = x – 10 litres
    Water after adding = x – 10 + 15 = x + 5 litres
    ATQ:
    2x – 20 = (x + 5) + 5
    2x – 20 = x + 10
    x = 30
    Initial quantity = 3x = 90 litres

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