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      Question

      In a milk-water mixture, milk : water = 5 : 2. If 7

      litres of water is added, the ratio becomes 5 : 3. Find the initial quantity of the mixture.
      A 55 litres Correct Answer Incorrect Answer
      B 23 litres Correct Answer Incorrect Answer
      C 49 litres Correct Answer Incorrect Answer
      D 27 litres Correct Answer Incorrect Answer

      Solution

      ATQ, Let milk = 5x, water = 2x After adding water: water = 2x + 7 Given: 5x / (2x + 7) = 5/3 Cross-multiply: 15x = 10x + 35 5x = 35 ⇒ x = 7 Initial mixture = 5x + 2x = 7x = 49 litres

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