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A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?

Correct answer: A. 9:1

  • A. 9:1
  • B. 4:7
  • C. 7:1
  • D. 2:5

Explanation

Initially there are 12 litres of milk and 8 litres of water. Removing 10 litres removes 6 litres of milk and 4 litres of water, leaving 6 litres and 4 litres; after adding 10 litres of milk, the quantities are 16 litres and 4 litres. Repeating the process leaves 8 litres of milk and 2 litres of water, then adding 10 litres of milk gives 18 litres : 2 litres = 9:1. The likely mistake is option c, 7:1, from subtracting the wrong proportions during the second replacement.

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