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    Question

    480 litres of a mixture contain milk and honey, only, in

    the ratio of 5:m, respectively. If 20 litres honey is added into it, then theratio of quantity of milk to that of honey in the resultant mixture will become 3:2. Determine the value of ‘m’.
    A 5 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total quantity of resultant mixture = 480 + 20 = 500

    Quantity of milk in resultant mixture = (3/5) × 500 = 300 litres

    Quantity of honey in resultant mixture = 500 – 300 = 200 litres

    Since, quantity of milk remains constant.

    So, quantity of milk in initial mixture = 300 litres

    And, quantity of honey in the initial mixture = 480 – 300 = 180 litres

    So, ratio of quantity of milk and honey in the initial mixture = 300:180 = 5:3

    So, m = 3

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