Explanation:

Let's break down the problem:

- The person sold the article at a 15% loss, which means the selling price (SP) was 85% of the cost price (CP).

- If sold for Rs 50 more, there would be a 10% profit, making the SP 110% of the CP.

- So, the difference between the two SPs should be Rs 50.

Let's use a bit of math:

- Let the original cost price be "x".

- 85% of x = 0.85x (current SP).

- 110% of x = 1.10x (SP for a 10% profit).

- The equation based on the Rs 50 difference:

- 1.10x = 0.85x + 50

- Solving this gives:

- 0.25x = 50

- x = 200

So, the original cost price is Rs 200.

- Option 1: Rs 260 – Too high.

- Option 2: Rs 280 – Too high.

- Option 3: Rs 160 – Too low.

- Option 4: Rs 200 – Correct answer.