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      Question

      A mixture consists of milk and water in a ratio of 5:3.

      When 160 ml of this mixture is removed and replaced with 60 ml of water, the quantity of milk becomes 10 ml less than the quantity of water. Determine the total volume of the mixture before any changes were made.
      A 320 ml Correct Answer Incorrect Answer
      B 400 ml Correct Answer Incorrect Answer
      C 360 ml Correct Answer Incorrect Answer
      D 280 ml Correct Answer Incorrect Answer
      E 240 ml Correct Answer Incorrect Answer

      Solution

      Let quantity of milk and water in the original mixture is 5x ml and 3x ml respectively. Quantity of milk in 160 ml of mixture = 160 × 5/8 = 100 ml Quantity of water in 160 ml of mixture = 160 – 100 = 60 ml According to question; 5x – 100 + 10 = 3x – 60 + 60 Or, 5x – 90 = 3x Or, 2x = 90 Or, x = 45 Original quantity of mixture = 45 × 8 = 360 ml Hence, option c.

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