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    Question

    A vessel contains mixture of milk and water mixed

    in the ratio 8:7, respectively. 105 litres of the mixture is replaced with 18 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 375 litres Correct Answer Incorrect Answer
    B 231 litres Correct Answer Incorrect Answer
    C 286 litres Correct Answer Incorrect Answer
    D 240 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 7x litres respectively.
    105 litres mixture contains 56 litres milk and 49 litres water.
    According to question:
    8x – 56 = 7x – 49 + 18
    x = 25
    So the initial quantity of mixture = 15 × 25 = 375 litres

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