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    Question

    200 litres of mixture (milk + water) contains 50% milk.

    When 'm' litres of milk and (m - 10) litres of water are added, the ratio of milk to water in the final mixture becomes 3:4. Find the value of '2m'.
    A 252 Correct Answer Incorrect Answer
    B 279 Correct Answer Incorrect Answer
    C 260 Correct Answer Incorrect Answer
    D 234 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Initial quantity of milk = 0.5 × 200 = 100 litres Initial quantity of water = 200 - 100 = 100 litres ATQ: (100 + m) : (100 + m - 10) = 3:4 Or, 4 × (100 + m) = 3 × (90 + m) Or, 400 + 4m = 270 + 3m Or, m = 130 Required value = '2m' = 2 × 130 = 260

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