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    A vessel contains a mixture of milk and water in the ratio 3:2 respectively. If 20 liters of the mixture is removed and 4 liters of milk is added, the
    Question

    A vessel contains a mixture of milk and water in the ratio 3:2 respectively. If 20 liters of the mixture is removed and 4 liters of milk is added, the ratio of milk to water becomes 13:8 respectively. Find the initial quantity of the mixture (in liters). 

    A.

    100

    B.

    60

    C.

    80

    D.

    75

    E.

    120

    Correct option is A

    Information Given:
    A vessel contains a mixture of milk and water in the ratio 3:2 respectively.
    20 liters of the mixture is removed.
    4 liters of milk is added.
    The ratio of milk to water becomes 13:8 respectively.
    Basic Explanation:
    Let the milk and water be 3a and 2a liters respectively
    ATQ,
    3a20×35+42a20×25=138\frac{3a - 20 \times \frac{3}{5} + 4}{2a - 20 \times \frac{2}{5}} = \frac{13}{8}
    3a82a8=138\frac{3a - 8}{2a - 8} = \frac{13}{8}
    24a - 64 = 26a - 104
    40 = 2a
    20 = a
    Initial quantity of the mixture = 5a = 100 liters

    Exam Hall Method:

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