Explanation:

- Let's assume the selling price of the second fan is Rs. \( x \).

- The first fan is sold at 40% loss, so if the cost price of the first fan is \( x \), then its selling price is \( 0.6x \).

- Thus, the selling price of the second fan (which is also the cost price of the first) is \( x \).

- The second fan is sold at 100% gain, meaning its cost price must be \( x/2 \), thus its selling price is \( x \).

- Given: \( 0.6x + x = 3200 \).

- Simplifying, \( 1.6x = 3200 \) results in \( x = 2000 \).

- So, first fan cost = second fan selling price = Rs. 2000.

- Second fan cost = Rs. 1000 (50% of Rs. 2000).

- Total cost = Rs. 2000 (first fan cost) + Rs. 1000 (second fan cost) = Rs. 3000.

- Total selling price = Rs. 3200.

- Total profit = Selling price - Cost price = Rs. 3200 - Rs. 3000 = Rs. 200.

- Therefore, the correct answer is Option 2: Rs. 200.