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    Question

    The ratio of the milk to water in a mixture is 9:4. 39

    litres of mixture is taken out and 13 litres of water is added to the remaining mixture. If in the resultant mixture the quantity of milk is double the quantity of water, then find the quantity of water in the initial mixture.
    A 108 litres Correct Answer Incorrect Answer
    B 112 litres Correct Answer Incorrect Answer
    C 116 litres Correct Answer Incorrect Answer
    D 120 litres Correct Answer Incorrect Answer
    E 124 litres Correct Answer Incorrect Answer

    Solution

    Let the quantity of the milk in the initial mixture = 9x litres
    The quantity of the water in the initial mixture = 4x litres

    The quantity of the milk in 39 litres of mixture = (39 / 13) × 9 = 27 litres
    The quantity of the water in 39 litres of mixture = (39 / 13) × 4 = 12 litres

    According to the question,
    (9x – 27) = 2 × (4x – 12 + 13)
    9x – 27 = 2 × (4x + 1)
    9x – 27 = 8x + 2

    x = 29
    The quantity of the water in the initial mixture = 4 × 29 = 116 litres

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