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    Question

    Mixture β€˜P’ contains alcohol and water only in the

    ratio 15:13 respectively while mixture β€˜Q’ contains water and alcohol in the ratio of 3:5, respectively. Total quantity of mixture β€˜P’ is 420 litres while the quantity of alcohol in mixture β€˜Q’ is 25 litres more than that in mixture β€˜P’. Find quantity of water in mixture β€˜Q’.
    A 78 litres Correct Answer Incorrect Answer
    B 141 litres Correct Answer Incorrect Answer
    C 105 litres Correct Answer Incorrect Answer
    D 150 litres Correct Answer Incorrect Answer

    Solution

    Let the quantity of alcohol in mixture β€˜P’ = 15x litres Then, quantity of water in mixture β€˜P’ = 13x litres According to the question, 15x + 13x = 420 Or, x = 420/28 = 15 Total quantity of alcohol in mixture β€˜Q’ = 15x + 25 = 225 + 25 = 250 litres Quantity of water in mixture β€˜Q’ = 250 Γ— (3/5) = 150 litres

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