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      Question

      A mixture P, consisting of 648 ml, contains milk and

      honey in the ratio of 5:4. This is combined with another mixture Q, which has a milk to honey ratio of 10:3. The resulting mixture has a honey quantity 25% less than the milk quantity. Determine the quantity of mixture Q.
      A 35 ml Correct Answer Incorrect Answer
      B 50 ml Correct Answer Incorrect Answer
      C 42 ml Correct Answer Incorrect Answer
      D 52 ml Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Quantity of milk in 648 ml of mixture P = 5/9 ร— 648 = 360 ml Quantity of Honey in 648 ml of mixture P = 4/9 ร— 648 = 288 ml Let quantity of milk and Honey in mixture Q is 10a ml and 3a ml respectively. According to question; (360 + 10a)/(288 + 3a) = 4/3 1080 + 30a = 1152 + 12a Or, 18a = 72 Or, a = 4 Desired answer = 13a = 13 ร— 4 = 52ml

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