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      Question

      350 ml of mixture contains milk and water in the ratio

      of 9:5 respectively. If ‘x’ ml of mixture is taken out and 30 ml of milk and 40 ml of water is added into the remaining mixture then ratio of milk to water in the resulting mixture will be 4:3. Find the value of ‘x’.
      A 210 Correct Answer Incorrect Answer
      B 140 Correct Answer Incorrect Answer
      C 210 Correct Answer Incorrect Answer
      D 280 Correct Answer Incorrect Answer

      Solution

      Quantity of milk in 350 ml of mixture = (9/14) × 350 = 225 ml

      Quantity of water in 350 ml of mixture = 350 – 225 = 125 ml

      Let quantity of mixture taken out is 14a ml (milk = 9a and water = 5a). And x = 14a

      So, (225 – 9a + 30)/(125 – 5a + 40) = 4/3

      Or, 765 – 27a = 660 – 20a

      Or, 7a = 105

      Or, a = 15

      So, x = 14 × 15 = 210

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