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    Question

    A milkman has a 60-liter mixture of milk and water in

    the ratio of 7:5. He sells 'x' liters of the mixture and replaces it with the same amount of a new mixture of milk and water in the ratio of 3:1. As a result, the ratio of milk to water in the final mixture becomes 41:19. Find the value of 'x'.
    A 36 liters Correct Answer Incorrect Answer
    B 39 liters Correct Answer Incorrect Answer
    C 33 liters Correct Answer Incorrect Answer
    D 32 liters Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Answer: A Milk in 60 liters = 60 * 7/12 = 35 liters Water in 60 liters = 60 * 5/12 = 25 liters Milk in x liters = 7x/12 Milk in x liters = 5x/12 After added the milk = 3x/4 Water = x/4 (420 + 2x) * 19 = (300 – 2x) * 41 7980 + 38x = 12300 – 82x 120x = 4320 x = 36 liters

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