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      Question

      A container has 360 litres of a mixture containing milk

      and water in the ratio of 3:2. 50 litres of milk and ‘p’ litres of water are added into the container so that the final ratio of milk to water becomes 5:4. Find the value of ‘p’.
      A 68.8 litres Correct Answer Incorrect Answer
      B 72.5 litres Correct Answer Incorrect Answer
      C 42.5 litres Correct Answer Incorrect Answer
      D 55.8 litres Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Quantity of milk in 360 litres of mixture = 360 × [3/(3 + 2)] = 360 × (3/5) = 216 litres

      Quantity of water in 360 litres of mixture = 360 – 216 = 144 litres

      According to the question;

      (216 + 50)/(144 + p) = 5/4

      Or, 4(266) = 5(144 + p)

      Or, 1064 = 720 + 5p

      Or, 5p = 344

      Or, p = 68.8 litres

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