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      Question

      A mixture of milk and honey is being sold at the price

      of pure milk, yielding a 20% profit. If 5 liters of honey is added to this mixture, the milk-to-honey ratio becomes 5:2. Determine the initial quantity of the mixture before the additional honey was added.
      A 25 litres Correct Answer Incorrect Answer
      B 30 litres Correct Answer Incorrect Answer
      C 45 litres Correct Answer Incorrect Answer
      D 18 litres Correct Answer Incorrect Answer
      E 20 litres Correct Answer Incorrect Answer

      Solution

      ATQ, Profit earned is 20% which means quantity of honey in the mixture is 20% of quantity of milk.Ratio of milk to honey in the mixture = 100: 20 = 5: 1 Let initial quantity of milk and honey in the mixture is 5m and m respectively. ATQ, 5m/(m+5) = 5/2 10m = 5m + 25 m = 5 Initial quantity of that mixture = 5m + m = 6m = 30 litres

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