Question

the cost price of 10 articles is equal to the selling price of 9 articles.Find the gain percent.

Answer 1

Given that the cost price of 10 articles is equal to the sale price of 9 articles.
We have to find the gain percent.
Solution:
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.
Hope it will help you. Thanks.

Answer 2

Cp of one article is x
Cp of ten article is 10x=Sp of nine article
Cp of nine article =9x
Profit =Sp-Cp
=10x-9x=x
Profit%=profit/Cp×100
=x/9x×100
=100/9=11 1/9%