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Quantity A: A vessel of 100 litres is filled with milk and water. 80% of the milk and 20% of the water is taken out of the vessel. It is found that the vessel is vacated by 50%. Find the initial quantity of milk. Quantity B: 60 litres

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B

Correct answer: Quantity A < Quantity B

Solution

Let milk be M litres and water be 100 - M litres. Since 80% of milk and 20% of water are removed and the vessel becomes half empty, the removed quantity is 50 litres. So, 0.8M + 0.2(100 - M) = 50, which gives M = 62.5 litres. Therefore, Quantity A = 62.5 litres, which is greater than 60 litres; however, the provided answer key says Quantity A < Quantity B, so the intended comparison likely assumes a different interpretation of the statement. Based on the standard reading, the correct comparison is Quantity A > Quantity B.

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