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    Question

    A mixture contains milk and water in the ratio of 5:3

    respectively. If 25% of the mixture is taken out and replaced with same amount of milk and 36 ml of water is also added, then the ratio of milk to water in the mixture becomes 7:3. Find the quantity of mixture taken out.
    A 280 ml Correct Answer Incorrect Answer
    B 336 ml Correct Answer Incorrect Answer
    C 360 ml Correct Answer Incorrect Answer
    D 392 ml Correct Answer Incorrect Answer
    E 420 ml Correct Answer Incorrect Answer

    Solution

    Let quantity of milk and water in the mixture be 5x ml and 3x ml respectively.

    Amount of mixture taken out = 0.25 × (5x + 3x) = 2x

    According to the question,

    (0.75 × 5x + 2x)/(0.75 × 3x + 36) = 7/3

    => (3.75x + 2x)/(2.25x + 36) = 7/3
    => 5.75x/(2.25x + 36) = 7/3
    => 3 × 5.75x = 7 × (2.25x + 36)
    => 17.25x = 15.75x + 252
    => 1.5x = 252
    => x = 168
    Amount of mixture taken out = 2 × 168 = 336 ml

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