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    Question

    In a jar, syrup and water are mixed in the ratio 3:5. When

    9 litres syrup and 11 litres water are added, the ratio becomes 6:9. What was the original volume of the mixture?
    A 75 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let syrup = 3y, water = 5y

    (3y + 9):(5y + 11) = 6:9

    ⇒ 9(3y + 9) = 6(5y + 11)

    ⇒ 27y + 81 = 30y + 66

    ⇒ 3y = 15 ⇒ y = 5

    Initial quantity = 3y + 5y = 8y = 8 × 5 = 40 litres

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