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    Question

    In a mixture, the ratio of milk to water is 4:5. If the

    mixture is augmented by adding 12 liters of milk and 20 liters of water, the new ratio of milk to water changes to 3:4. Determine the original quantity of the mixture.
    A 99 litres Correct Answer Incorrect Answer
    B 108 litres Correct Answer Incorrect Answer
    C 117 litres Correct Answer Incorrect Answer
    D 126 litres Correct Answer Incorrect Answer
    E 135 litres Correct Answer Incorrect Answer

    Solution

    Let quantity of milk and water in the initial mixture be ‘4x’ litres and ‘5x’ litres, respectively. According to the question, (4x + 12)/(5x + 20) = 3/4 Or, 16x + 48 = 15x + 60x Or, x = 12 Quantity of initial mixture = (4 + 5) × 12 = 108 litres

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