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    Question

    Three mixtures, containing mixture of sugar to water in

    the ratio of 6:3, 8:4 and 10:5 are mixed in equal proportion and a new mixture is formed. If the volume of mixture thus formed is 324 litres, then find the quantity of sugar in the resulting mixture.
    A 216 lit Correct Answer Incorrect Answer
    B 243 lit Correct Answer Incorrect Answer
    C 108 lit Correct Answer Incorrect Answer
    D 162 lit Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the volume of each mixture taken out be 36 litres

    Ratio of sugar to water in the resulting mixture =
    (6/9 × 36 + 8/12 × 36 + 10/15 × 36):(3/9 × 36 + 4/12 × 36 + 5/15 × 36) = (24 + 24 + 24):(12 + 12 + 12) = 72:36 = 2:1

    Desired volume of sugar = 2/3 × 324 = 216 litres

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