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From a vessel of 45 liters which is full of milk, 9 liters milk is taken out and completely replaced with water. Again 9 liters mixture is taken out and completely replaced with water. Find the quantity of milk left in the final mixture?

1. 32.4 liters
2. 28.8 liters
3. 24 liters
4. 33.6 liters

Correct answer: 28.8 liters

Solution

After each replacement, the fraction of milk remaining = (45-9)/45 = 36/45 = 4/5. After 2 replacements: milk = 45 × (4/5)² = 45 × 16/25 = 28.8 liters.

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