A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of pouring out two-thirds the content and replacing with water is repeated three more times, then the final ratio of milk to water in the glass, is

Options

1. 1 : 27
2. 1 : 81
3. 1 : 26
4. 1 : 80

Correct Answer

1 : 80

Explanation

After each operation, 1/3 of the milk remains. After 4 operations: milk remaining = (1/3)⁴ = 1/81 of original. Water = 1 - 1/81 = 80/81. Ratio = (1/81) : (80/81) = 1 : 80.

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