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CAT 2024 Slot 3 · Quant · Mixtures and Alligation · medium

8 litres of this mixture is removed and replaced with pure water. What is the new ratio of milk to water?

Single correct option

A vessel contains 24 litres of a milk-water mixture in the ratio 5:3. 8 litres of this mixture is removed and replaced with pure water. What is the new ratio of milk to water?
  1. A. 3:5
  2. B. 5:7
  3. C. 2:3
  4. D. 5:8
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Answer: (B) 5:7

Initial milk = 24×5/8 = 15 L, water = 9 L. Removing 8 L of mixture removes milk and water in the same 5:3 ratio: milk removed = 8×5/8 = 5 L, water removed = 3 L. Remaining milk = 10 L, remaining water = 6 L, and 8 L of water is added back, so water = 6+8 = 14 L. New ratio = 10:14 = 5:7.
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