Final answer:
The original price of the article can be found by dividing the selling price of Birr 330.00 by 1.10, resulting in Birr 300.00, which is the price before the 10% profit was added.
Step-by-step explanation:
To find the original price of the article before the dealer gained a 10% profit, we need to work backwards from the selling price of Birr 330.00. The selling price represents 110% of the original price, because 100% is the original and the 10% is the profit on top of that. Therefore, to find the original price, we divide the selling price by 1.10 (which represents the 110%).
The calculation would be: Original Price = Selling Price / 1.10
So, if the selling price was Birr 330.00, we divide that by 1.10:
Original Price = 330 / 1.10 = Birr 300.00
The original price of the article was therefore Birr 300.00.