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      Question

      600 ml of a mixture contains milk and water in the ratio

      of 14 respectively. If 90 ml of water and 100 ml of milk are added into it, then the ratio of milk to water in the resulting mixture will be 5:2. Find the value of ‘w’.
      A 4 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 2 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ Quantity of milk in 600 ml of mixture = 600 × 14/(14 + w) Quantity of water in 600 ml of mixture = 600 × w/(w + 14) According to the question: {8400/(14 + w) + 100}/{600w/(w + 14) + 90} = 5/2 Or, 8400/(14 + w) + 100 = 1500w/(w + 14) + 450 Or, (8400 – 1500w)/(w + 14) = 350 Or, 8400 – 1500w = 350w + 4900 Or, 1850w = 3500 Or, w = 2

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