Explanation:

Let's analyze the mixtures step by step:

- Mixture A:

- Total volume = 200 ml.

- 40% milk = 0.4 × 200 = 80 ml of milk.

- Water volume = 200 - 80 = 120 ml.

- Mixture B:

- Total volume = 300 ml.

- Ratio of milk to water is 3:7.

- Milk volume = (3/10) × 300 = 90 ml.

- Water volume = (7/10) × 300 = 210 ml.

- Total in Vessel C:

- Milk = 80 ml (from A) + 90 ml (from B) = 170 ml.

- Water = 120 ml (from A) + 210 ml (from B) = 330 ml.

- Ratio in Vessel C:

- Milk : Water = 170 : 330

- Simplified ratio by dividing by 10 = 17:33

- Conclusion:

- Option 3 (17 : 33) is correct.

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