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    Question

    A container contains milk and water in the ratio 7:5,

    respectively. It also contains 40 litres of sugar solution. If a certain quantity of mixture which contains 14 litres of milk, 10 litres of sugar solution and β€˜p’ litres of water is taken out and replaced with β€˜a’ litre of water, then the ratio of quantity of milk to that of water becomes 3:4, respectively. Find the value of β€˜a’.
    A 36 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 42 Correct Answer Incorrect Answer
    D 54 Correct Answer Incorrect Answer
    E Cannot determined Correct Answer Incorrect Answer

    Solution

    Since, ratio of quantity of milk and sugar solution taken out
    = 14 : 10 = 7 : 5
    So, quantity of milk in initial mixture
    = 40 Γ— (7/5) = 56 litres
    And, quantity of water in the initial mixture
    = (5/7) Γ— 56 = 40 litres
    Quantity of milk left = 56 βˆ’ 14 = 42 litres
    Quantity of water left = 40 βˆ’ 10 = 30 litres
    ATQ;
    42/(30+a) = 3/4
    Or, 30 + a = 56
    Or, a = 26

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