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    Question

    A container has  40 litres  of a mixture of milk and

    water in the ratio  3 : 1 . How many litres of  water  must be added so that the new ratio of milk to water becomes  3 : 2 ?
    A 10 L Correct Answer Incorrect Answer
    B 12 L Correct Answer Incorrect Answer
    C 18 L Correct Answer Incorrect Answer
    D 21 L Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Milk = (3/4) × 40 = 30 L Water = 10 L Let x litres of water be added. New water = 10 + x Required ratio: 30 : (10 + x) = 3 : 2 30 / (10 + x) = 3 / 2 Cross-multiply: 60 = 3(10 + x) 60 = 30 + 3x 3x = 30 → x = 10 L

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