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      Question

      A 360 ml solution consists of milk and water in the

      ratio 2:3. If ‘x’ ml of milk and the same amount of water is added, the new ratio of milk to water becomes 5:7. Find the value of ‘x’.
      A 52 Correct Answer Incorrect Answer
      B 36 Correct Answer Incorrect Answer
      C 62 Correct Answer Incorrect Answer
      D 42 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Quantity of milk in 360 ml = (2/5) × 360 = 144 ml

      Quantity of water = 360 – 144 = 216 ml

      ATQ:

      (144 + x)/(216 + x) = 5/7

      ⇒ 7(144 + x) = 5(216 + x)

      ⇒ 1008 + 7x = 1080 + 5x

      ⇒ 2x = 72

      ⇒ x = 36

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