Explanation:

Let's break down the statements step-by-step:

- Let the production cost = Rs. x

- Marked Price = x + 80% of x = 1.8x

- Let Selling Price after discount = S

- Discount allowed = Rs. 160

So, S = Marked Price - 160 = 1.8x - 160

- Profit = Selling Price - Cost Price = Rs. 200

Thus, S - x = 200 ? S = x + 200

- Using both S values: 1.8x - 160 = x + 200

? 1.8x - x = 200 + 160

? 0.8x = 360

? x = 360/0.8 = Rs. 450

Option breakdown:

- Option 1: Rs. 320 ?

- Option 2: Rs. 360 ?

- Option 3: Rs. 575 ?

- Option 4: Rs. 440 ?

- Option 5: Rs. 580 ?

- Correct answer: None of the provided options exactly match Rs. 450