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A vessel contains some milk and 30 liters of water. If 36 liters milk is added in the mixture, then ratio of milk to water becomes 6: 1. Find the initial quantity of milk in the mixture?

1. 180
2. 112
3. 128
4. 144

Correct answer: 144

Solution

Initial: milk = m liters, water = 30 liters. After adding 36L milk: new milk = m+36, water = 30. Ratio = 6:1 → (m+36)/30 = 6 → m+36 = 180 → m = 144 liters.

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