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    Question

    There is 84 litres of a liquid mixture containing syrup and

    water, in which syrup is three times the quantity of water. If 24 litres of this mixture is taken out and 12 litres of pure water is added, then what percent is the quantity of water in the final mixture with respect to syrup?
    A 64% Correct Answer Incorrect Answer
    B 80% Correct Answer Incorrect Answer
    C 35% Correct Answer Incorrect Answer
    D 60% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the quantity of syrup and water in the mixture initially be 3b litres and b litres respectively.

    Ratio of syrup to water = 3b : b = 3 : 1

    After removing 24 litres of the mixture,

    Quantity of mixture left = 60 litres

    Quantity of syrup left = 60 Γ— (3/4) = 45 litres

    Quantity of water = 60 - 45 = 15 litres

    Quantity of water after addition of 12 litres = 15 + 12 = 27 litres

    Required percentage = (27 / 45) Γ— 100 = 60%

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