The Problem:
An article is sold at 10 percent more than the cost price (C.P.). If a discount of 10 percent is allowed, what can we conclude?

Understanding the Question:
To solve this problem, we need to understand the given information:
- The article is sold at 10 percent more than the cost price.
- A discount of 10 percent is allowed.

We need to determine the impact of the discount on the selling price and whether the selling price is still greater than the cost price.

Calculating the Selling Price:
Let's assume the cost price (C.P.) of the article is x.

According to the given information, the selling price (S.P.) is 10 percent more than the cost price:
S.P. = C.P. + 10% of C.P.
S.P. = C.P. + 0.1C.P.
S.P. = 1.1C.P.

Calculating the Discounted Selling Price:
Now, let's calculate the discounted selling price after a discount of 10 percent is allowed.

The discount is calculated as 10 percent of the selling price:
Discount = 10% of S.P.
Discount = 10% of 1.1C.P.
Discount = 0.1 * 1.1C.P.
Discount = 0.11C.P.

The discounted selling price (S.P.) is calculated by subtracting the discount from the original selling price:
Discounted S.P. = S.P. - Discount
Discounted S.P. = 1.1C.P. - 0.11C.P.
Discounted S.P. = 0.99C.P.

Comparing the Discounted Selling Price and Cost Price:
Now, let's compare the discounted selling price with the cost price.

If the discounted selling price is greater than the cost price, it means the article is still being sold at a profit.

If the discounted selling price is equal to the cost price, it means the article is being sold at the break-even point.

If the discounted selling price is less than the cost price, it means the article is being sold at a loss.

Conclusion:
Based on our calculations, we can conclude the following:

- The discounted selling price (0.99C.P.) is less than the cost price (C.P.).
- Therefore, the article is being sold at a loss when a discount of 10 percent is allowed.

Summary:
When a discount of 10 percent is allowed on an article that is sold at 10 percent more than the cost price, the article is sold at a loss. The discounted selling price is 0.99 times the cost price, which is less than the cost price itself.