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      Question

      315 ml of mixture contains milk and water in the ratio

      of 20:x respectively. If 55 ml of water and 65 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 โ€˜xโ€™.ย  ST
      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 315 ml of mixture = 315 ร— 20/(20 + x) Quantity of water in 315 ml of mixture = 315 ร— x/(x + 20) According to question; {6300/(20 + x) + 65}/{315x/(x + 20) + 55} = 2/1 Or, 6300/(20 + x) + 65 = 630x/(x + 18) + 110 Or, (6300 โ€“ 630x)/(x + 20) = 45 Or, 6300 โ€“ 630x = 45x + 900 Or, 675x = 5400 Or, x = 8

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