Explanation:

- The marked price of the article is set at 30% more than the cost price. This means if the cost price is $C$, then the marked price is $1.3C$.

- A discount of 15% is offered on the marked price, so the selling price becomes $0.85\times 1.3C=1.105C$.

- The final selling price is therefore 10.5% more than the cost price.

- Option 1: 10.5%

- This option is correct because $1.105C$ is 10.5% more than $C$.

- Correct Answer

- Option 2: 15.5%

- This option is incorrect because a 15.5% increase on the cost price is more than the calculated 10.5%.

- Option 3: 19.5%

- This is incorrect as it overestimates the percentage increase on cost price.

- Option 4: 8.5%

- This underestimates the actual percentage increase from the cost price.