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    Question

    A can initially contains a mixture of glycerine and

    water, with 60 liters more glycerine than water. When 20% of this mixture is removed and replaced with 16 liters of glycerine and 64 liters of water, the quantities of glycerine and water in the can become equal. Determine the initial quantity of water in the can.
    A 120 lit Correct Answer Incorrect Answer
    B 200 lit Correct Answer Incorrect Answer
    C 160 lit Correct Answer Incorrect Answer
    D 180 lit Correct Answer Incorrect Answer
    E Cannot be determined Correct Answer Incorrect Answer

    Solution

    Let initial quantity of water in the mixture be ‘x’ litresTherefore, initial quantity of glycerine = (x + 60) litresFinal quantity of glycerine in can ‘A’ = {0.8(x + 60) + 16} = (0.8x + 64) litresFinal quantity of water in can ‘A’ = (0.8x + 64) litresTherefore, initial quantity of glycerine cannot be determinedHence, option e.

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