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    Question

    A 360 ml solution consists of milk and water in the

    ratio 2:3. If ‘x’ ml of milk and the same amount of water is added, the new ratio of milk to water becomes 5:7. Find the value of ‘x’.
    A 52 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 62 Correct Answer Incorrect Answer
    D 42 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Quantity of milk in 360 ml = (2/5) × 360 = 144 ml

    Quantity of water = 360 – 144 = 216 ml

    ATQ:

    (144 + x)/(216 + x) = 5/7

    ⇒ 7(144 + x) = 5(216 + x)

    ⇒ 1008 + 7x = 1080 + 5x

    ⇒ 2x = 72

    ⇒ x = 36

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