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      Question

      300 ml of mixture contains milk and water in the ratio

      of 14:x respectively. If 40 ml of water and 50 ml of milk is added into it then ratio of milk to water in the resulting mixture will be 2:1. Find the value of ‘x’.  ST
      A 5 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 7.5 Correct Answer Incorrect Answer
      D 6.5 Correct Answer Incorrect Answer
      E 4.25 Correct Answer Incorrect Answer

      Solution

      Quantity of milk in 300 ml of mixture = 300 × 14/(14 + x) Quantity of water in 300 ml of mixture = 300 × x/(x + 14) According to question; {4200/(14 + x) + 50}/{300x/(x + 14) + 40} = 2/1 Or, 4200/(14 + x) + 50 = 600x/(x + 14) + 80 Or, (4200 – 600x)/(x + 14) = 30 Or, 4200 – 600x = 30x + 420 Or, 630x = 3780 Or, x = 6

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