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    Question

    Mixture ‘P’ contains alcohol and water only in the

    ratio 10:7 respectively while mixture ‘Q’ contains water and alcohol in the ratio of 3:5, respectively. Total quantity of mixture ‘P’ is 255 litres while the quantity of alcohol in mixture ‘Q’ is 25 litres more than that in mixture ‘P’. Find quantity of water in mixture ‘Q’.
    A 87 litres Correct Answer Incorrect Answer
    B 114 litres Correct Answer Incorrect Answer
    C 105 litres Correct Answer Incorrect Answer
    D 132 litres Correct Answer Incorrect Answer
    E 159 litres Correct Answer Incorrect Answer

    Solution

    Let the quantity of alcohol in mixture ‘P’ = 10x kg Then, quantity of water in mixture ‘P’ = 7x kg According to the question, 10x + 7x = 255 Or, x = 255/17 = 15 Total quantity of alcohol in mixture ‘Q’ = 10x + 25 = 150 + 25 = 175 litres Quantity of water in mixture ‘Q’ = 175 × (3/5) = 105 litres

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