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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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