Let the cost price of 1 article = Rs. 1
Then the cost price of 10 articles = 1 x 10 = Rs. 10
Since, given that,
Selling price of 9 articles = Cost price of 10 articles
Selling price of 9 articles = Rs. 10
Hence, we know the selling price of 9 articles.
Now we calculate the cost price of 9 articles.
Cost price of 9 articles = 1 x 9 = Rs. 9
Thus,
Profit made on the selling of 9 articles = Selling price of 9 articles - Cost price of 9 articles
Profit made on the selling of 9 articles = 10 - 9
Profit made on the selling of 9 articles = Rs. 1
% Profit or % Gain = ( Profit / Cost Price ) x 100 %
% Gain = ( 1 / 9 ) x 100 %
% Gain = 11.11 %
which is the required answer.