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    Question

    A mixture of P litres consists of milk and water in a

    5:3 ratio. If 20 litres of this mixture is removed and replaced with an equal amount of water, the quantities of milk and water in the mixture become equal. Determine the value of P.
    A 100 Correct Answer Incorrect Answer
    B 200 Correct Answer Incorrect Answer
    C 220 Correct Answer Incorrect Answer
    D 160 Correct Answer Incorrect Answer

    Solution

    Let the quantity of milk and water present in the mixture after 20 litres is removed be ‘5x’ and ‘3x’ litres, respectively.

    ATQ:

    5x = 3x + 20

    Or, 2x = 20

    So, x = 10

    So, total quantity of mixture = 5x + 3x + 20 = 8x + 20 = (8 × 10) + 20 = 100 litres

    So, P = 100

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