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      Question

      A mixture contains milk and water in the ratio of 9:5,

      respectively. If 224 ml of mixture is taken out and 72 ml of milk and 104 ml of water is added into the remaining mixture, then the ratio of milk to water in the resultant mixture becomes 3:2. Find the quantity of milk in the mixture initially.
      A 576 ml Correct Answer Incorrect Answer
      B 684 ml Correct Answer Incorrect Answer
      C 720 ml Correct Answer Incorrect Answer
      D 648 ml Correct Answer Incorrect Answer
      E 624 ml Correct Answer Incorrect Answer

      Solution

      Let quantity of milk and water in the initial mixture is ‘9x’ ml and ‘5x’ ml respectively.
      Quantity of milk in 224 ml of mixture = (9/14) × 224 = 144 ml
      Quantity of water in 224 ml of mixture = 224 – 144 = 80 ml
      According to question;
      (9x – 144 + 72)/(5x – 80 + 104) = 3/2
      Or, (9x – 72)/(5x + 24) = 3/2
      Or, 18x – 144 = 15x + 72
      Or, 3x = 216
      Or, x = 72
      Quantity of milk in initial mixture = 9 × 72 = 648 ml

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