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      Question

      A container contains 150 lit of pure milk and P liters

      of water. Ratio of 25% of mixture to the initial quantity of water is 5 : 8 and when Q liters of water is added to it ratio of total mixture to water becomes 7 : 4. Then find the value of P + Q.
      A 222 Correct Answer Incorrect Answer
      B 200 Correct Answer Incorrect Answer
      C 250 Correct Answer Incorrect Answer
      D 260 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      (150 + P)/4P = 5/8
      1200 + 8P = 20P
      P = 100 liters
      And, (100 + Q)/(250 + Q) = 4/7
      700 + 7Q = 1000 + 4Q
      3Q = 300
      Q= 100 liters
      Required sum = 200

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