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      Question

      340 ml of mixture contains milk and water in the ratio

      of 18:x respectively. If 50 ml of water and 60 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’. 
      A 5 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 7.5 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer
      E 4.25 Correct Answer Incorrect Answer

      Solution

      Quantity of milk in 340 ml of mixture = 340 × 18/(18 + x) Quantity of water in 340 ml of mixture = 340 × x/(x + 18) According to question; {6120/(18 + x) + 60}/{340x/(x + 18) + 50} = 2/1 Or, 6120/(18 + x) + 60 = 680x/(x + 18) + 100 Or, (6120 – 680x)/(x + 18) = 40 Or, 6120 – 680x = 40x + 720 Or, 720x = 5400 Or, x = 7.5

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