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      Question

      In a solution, the ratio of milk to water is 4:5. If 6

      litres of milk and 12 litres of water are added, the new ratio becomes 5:7. What was the original quantity of the solution?
      A 54 litres Correct Answer Incorrect Answer
      B 67 litres Correct Answer Incorrect Answer
      C 90 litres Correct Answer Incorrect Answer
      D 70 litres Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let initial milk = 4y, water = 5y

      Then, (4y + 6):(5y + 12) = 5:7

      ⇒ 7(4y + 6) = 5(5y + 12)

      ⇒ 28y + 42 = 25y + 60

      ⇒ 3y = 18 ⇒ y = 6

      Initial quantity = 4y + 5y = 9y = 9 × 6 = 54 litres

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