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      Question

      A jar contains a mix of ink and water with a total volume

      of 180 liters in the ratio 4:2. If 36 liters of water and 24 liters of ink are poured into it, the new ratio of ink to water becomes x:6. Find the value of x.
      A 7 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 9 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Initial quantity of ink in the jar = 180 × 4/6 = 120 liters

      Initial quantity of water in the jar = 180 – 120 = 60 liters

      (120 + 24)/(60 + 36) = x/6

      144/96 = x/6

      3/2 = x/6

      x = (3 × 6)/2 = 18/2 = 9

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