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      Question

      A jar contains a mixture of 2 liquids P and Q in the

      ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of the liquid Q is poured into the jar, the ratio becomes 2:3. How many litres of the liquid P was contained in the Jar?
      A 17 litres Correct Answer Incorrect Answer
      B 16 litres Correct Answer Incorrect Answer
      C 14 litres Correct Answer Incorrect Answer
      D 15 litres Correct Answer Incorrect Answer

      Solution

      Let total quantity of the mixture be x litres.
      P = 4x/5 & Q = 1x/5

      When 10 litres is removed (in 4:1 ratio), we remove:

      P = 8 litres & Q = 2 litres

      So remaining: P = (4x/5) −8 & Q = (1x/5) − 2

      Then, 10 litres of Q is added:

      New Q = 1x/5 – 2 + 10 = 1x/5 + 8

      Now, new ratio is: P/Q = 2/3

      So: {4x/5 – 8}/{1x/5 + 8} = 2/3

      x = 20
      So total mixture = 20 litres.
      Amount of P = 4/5 × 20 = 16 litres

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