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    Question

    A container has milk and water in the ratio 4:3. 35

    litres of mixture is removed and 10 litres of water is added so that the quantity of milk is 6 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 100 litres Correct Answer Incorrect Answer
    D 147 litres Correct Answer Incorrect Answer

    Solution

    Milk after removal = 4x – 35 × 4/7 = 4x – 20 litres
    Water after removal = 3x – 35 × 3/7 = 3x – 15 litres
    Water after adding = 3x – 15 + 10 = 3x – 5 litres
    ATQ:
    4x – 20 = (3x – 5) + 6
    4x – 20 = 3x + 1
    x = 21
    Initial quantity = 7x = 147 litres

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