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      Question

      In 108 litres of a mixture (milk + water), ratio of

      quantity of milk to that of water in a mixture is 5:4, respectively. (2x + 8.4) litres of milk and 27 litres of water is added to the mixture such that the quantity of milk in the resultant mixture is 20% more than that of water in it. Find the value of β€˜x’.
      A 10.8 Correct Answer Incorrect Answer
      B 11.8 Correct Answer Incorrect Answer
      C 15.8 Correct Answer Incorrect Answer
      D 12.8 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Initially, Quantity of milk in the mixture = 108 Γ— (5/9) = 60 litres Quantity of water in the mixture = 108 – 60 = 48 litres According to the question, 1.20 Γ— (48 + 27) = 60 + 2x + 8.4 => 90 = 68.4 + 2x => x = 10.8

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