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      Question

      In 81 litres of a mixture (milk + water), ratio of

      quantity of milk to that of water in a mixture is 4:5, respectively. (3x + 11) litres of milk and 25 litres of water is added to the mixture such that the quantity of milk in the resultant mixture is 40% more than that of water in it. Find the value of β€˜x’.
      A 22 Correct Answer Incorrect Answer
      B 17 Correct Answer Incorrect Answer
      C 13 Correct Answer Incorrect Answer
      D 23 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Initially, Quantity of milk in the mixture = 81 Γ— (4/9) = 36 litres Quantity of water in the mixture = 81 – 36 = 45 litres According to the question, 1.40 Γ— (45 + 25) = 36 + 3x + 11 => 98 = 47 + 3x => x = 17

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