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    A mixture of Y liters of juice and water is in the ratio 3:1 respectively. If 20 liters of the mixture is taken out and 10 liters of water is added to
    Question


    A mixture of Y liters of juice and water is in the ratio 3:1 respectively. If 20 liters of the mixture is taken out and 10 liters of water is added to the mixture, the ratio of juice to water in the resultant mixture becomes 5:3. Find the value of Y.


    A.

    96

    B.

    80

    C.

    44

    D.

    70

    E.

    100

    Correct option is D

    Let the quantity of juice and water in the mixture be 3a and 1a liters respectively
    ATQ,

    3(3a-15)=5(a+5)
    9a-45=5a+25
    4a=70
    a=17.5
    Y = 3a+a=4a=4×17.5=70

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