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    Vessel P contains 200 liters of a mixture of milk and water in which water is 35%. y liters of the mixture are taken out, where the quantity of water
    Question



    Vessel P contains 200 liters of a mixture of milk and water in which water is 35%. y liters of the mixture are taken out, where the quantity of water in y liters is 21 liters. This y liters are then poured into vessel Q, which already contains y liters of water. Find the difference between the quantity of milk and water in the resultant mixture of vessel Q (in liters).

    A.

    33

    B.

    54

    C.

    29

    D.

    42

    E.

    37

    Correct option is D


    Information Given:
    Vessel P contains 200 liters of a mixture of milk and water in which water is 35%.
    y liters of the mixture are taken out, where the quantity of water in y liters is 21 liters.
    This y liters are then poured into vessel Q, which already contains y liters of water.
    Formulas Used:
    Water in mixture = Total Mixture × Percentage of Water/100
    Basic Explanation:
    Quantity of milk in P = 200×65/100=130
    Quantity of water in P = 200×35/100=70
    The ratio of milk to water in P = 13:7
    y = 21/7×20=60
    Quantity of milk in Q = 60×13/20=39 liters
    Quantity of water in Q = 60×7/20+60=81 liters
    Required difference = 81-39 = 42 liters

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