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    Question

    Three mixtures, containing mixture of sugar to water in

    the ratio of 7:2, 9:3 and 5:1 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 272 lit Correct Answer Incorrect Answer
    B 245 lit Correct Answer Incorrect Answer
    C 255 lit Correct Answer Incorrect Answer
    D 234 lit 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 =
    (7/9 × 36 + 9/12 × 36 + 5/6 × 36):(2/9 × 36 + 3/12 × 36 + 1/6 × 36)
    = (28 + 27 + 30):(8 + 9 + 6) = 85:23

    Desired volume of sugar = 85/108 × 324 = 255 litres

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