If the selling price of 10 article is equal to cost price of 11 article, find the gain percent

Given :

The selling price of 10 articles is equal to the cost price of 11 articles.

To do :

We have to find the gain percent.

Solution :

Let the cost price of an article $= x$.

The cost price of 10 articles $= x \times 10 =10x$

The cost price of 11 articles $= x \times 11 =11x$

It is given that, selling price of 10 articles $=$ cost price of 11 articles.

Therefore, the selling price of 10 articles $= 11x$

Profit $=$ Selling price of 10 articles $-$ Cost price of 10 articles

         $= 11x-10x = x$

Profit % $= \frac{Profit}{Cost\ price\ of\ 10\ articles} \times 100$

                 $= \frac{x}{10x} \times 100$

                $=\frac{1}{10} \times 100$

                $=10$%.

Therefore, the profit % is $10$%.