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      Question

      A 360-liter mixture consists of milk and water in a 5:4

      ratio. If 7.5% of the mixture is removed and replaced with the same amount of water, what is the new ratio of milk to water in the mixture?
      A 11:17 Correct Answer Incorrect Answer
      B 12:19 Correct Answer Incorrect Answer
      C 37:35 Correct Answer Incorrect Answer
      D 35:32 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Quantity of milk in 360 litres of mixture = (5/9) Γ— 360 = 200 litres So, quantity of water in 360 litres of mixture = 360 – 200 = 160 litres Quantity of mixture taken out = 0.075 Γ— 360 = 27 litres Quantity of milk in 27 litres of mixture = (5/9) Γ— 27 = 15 litres So, quantity of water in 27 litres of mixture = 27 – 15= 12 litres Therefore, required ratio = (200 – 15):(160 – 12 + 27) = 185:175 = 37:35

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