Let the cost price be \(C\). 
The original selling price \(S = C + 10\%\ \text{of}\ C = 1.1C\). 
If the article is sold at double the selling price, new selling price \(= 2 \times 1.1C = 2.2C\). 
Profit \(= \text{New selling price} - \text{Cost price} = 2.2C - C = 1.2C\). 
Profit percentage \(= \frac{1.2C}{C} \times 100 = 120\%\). 
Thus, the profit made is \(\boxed{120\%}\).