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    Question

    A drum contains 400 liters of a mixture of milk and

    water in the ratio of 5:3. If x liters of milk and 2x liters of water are added to the mixture, then both milk and water become equal in the final mixture. Find the amount of milk left.
    A 350 liters Correct Answer Incorrect Answer
    B 200 liters Correct Answer Incorrect Answer
    C 420 liters Correct Answer Incorrect Answer
    D 365 liters Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Initial amount of milk = 400 Γ— 5/(5 + 3) = 400 Γ— 5/8 = 250 liters Initial amount of water = 400 – 250 = 150 liters (250 + x) / (150 + 2x) = 1/1 2x – x = 250 – 150 x = 100 The amount of milk left in the drum = 250 + 100 = 350 liters

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