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    Question

    A vessel contains mixture of milk and water mixed

    in the ratio 8:3, respectively. 55 litres of the mixture is replaced with 20 litres of water such that the quantities of milk and water in the resultant mixture become equal. Find the initial quantity of mixture in the vessel.
    A 273 litres Correct Answer Incorrect Answer
    B 99 litres Correct Answer Incorrect Answer
    C 150 litres Correct Answer Incorrect Answer
    D 196 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the initial quantities of milk and water in the vessel be 8x litres and 3x litres respectively.
    55 litres mixture contains 40 litres milk and 15 litres water.
    According to question:
    8x – 40 = 3x – 15 + 20
    5x = 45
    x = 9
    So the initial quantity of mixture = 11 × 9 = 99 litres

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