If a trader sells two articles at the same price, one at a loss of 30% and the other at a profit of 20%, then the trader makes approximately11.58% profit.11.58% loss.6% loss.10% loss.

The trader actually makes a loss in this scenario. Here's why:

1. Let's assume the cost price of the first article is $100. A loss of 30$70.

2. Similarly, let's assume the cost price of the second article is also $100. A profit of 20$120.

3. The trader sells both articles for the same price, so let's take the average of the two selling prices to find this price. The average of $70 and$120 is $95.

4. The trader bought each article for $100, so the total cost price is$200. The total selling price, since each article sells for $95, is$190.

5. To find the percentage loss, we subtract the total selling price from the total cost price, divide by the total cost price, and multiply by 100. This gives us (($200 -$190) / $200) * 100 = 5% loss.

So, the trader makes a 5% loss. This option is not listed in your choices, so there may be a mistake in the question or the provided options.