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      Question

      A mixture contains milk and water in the ratio of 8:5,

      respectively. If 260 ml of mixture is taken out and 80 ml of milk and 100 ml of water is added into the remaining mixture, then the ratio of milk to water in the resultant mixture becomes 7:5. Find the quantity of milk in the mixture initially.
      A 600 ml Correct Answer Incorrect Answer
      B 680 ml Correct Answer Incorrect Answer
      C 640 ml Correct Answer Incorrect Answer
      D 620 ml Correct Answer Incorrect Answer
      E 660 ml Correct Answer Incorrect Answer

      Solution

      Let quantity of milk and water in the initial mixture is ‘8x’ ml and ‘5x’ ml respectively.
      Quantity of milk in 260 ml of mixture = (8/13) × 260 = 160 ml
      Quantity of water in 260 ml of mixture = 260 – 160 = 100 ml
      According to question;
      (8x – 160 + 80)/(5x – 100 + 100) = 7/5
      Or, (8x – 80)/(5x) = 7/5
      Or, 40x – 400 = 35x
      Or, 5x = 400
      Or, x = 80
      Quantity of milk in initial mixture = 8 × 80 = 640 ml

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