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CAT 2024 Slot 1 · Quant · Mixtures and Alligation · hard

How many litres of water must be added to change the ratio of milk to water to 5:6?

Single correct option

A vessel contains 80 litres of a mixture of milk and water in the ratio 5:3. How many litres of water must be added to change the ratio of milk to water to 5:6?
  1. A. 20
  2. B. 25
  3. C. 30
  4. D. 35
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Answer: (C) 30

Milk = (5/8)×80 = 50 litres, water = (3/8)×80 = 30 litres. Milk quantity stays fixed when only water is added. Let w litres of water be added: 50/(30+w) = 5/6 → 300 = 150+5w → w = 30 litres. Check: new ratio = 50:60 = 5:6. ✓
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