If I would have purchased 11 articles for Rs. 10 and sold all the articles at the rate of 10 for Rs. 11, the profit percent would have been = ?

Solution(By Examveda Team)

Cost price of 11 oranges = Rs. 10
Cost price of 1 orange = Rs. $$\frac{{10}}{{11}}$$
Selling price of 10 oranges = Rs. 11
Selling price of 1 orange = Rs. $$\frac{{11}}{{10}}$$
Since Selling price > Cost price, there is profit
Profit per orange = Selling price - Cost price
$$\eqalign{ & = {\text{Rs}}{\text{.}}\,\frac{{11}}{{10}} - {\text{Rs}}{\text{.}}\,\frac{{10}}{{11}} \cr & = {\text{Rs}}{\text{.}}\,\frac{{121 - 100}}{{110}} \cr & = {\text{Rs}}{\text{.}}\,\frac{{21}}{{110}} \cr} $$
Profit on 11 oranges $$ = \frac{{21}}{{110}} \times 11 = {\text{Rs}}{\text{.}}\,2.1$$
$$\eqalign{ & {\text{Profit}}\% = \frac{{{\text{Profit}}}}{{{\text{Cost}}\,{\text{Price}}}} \times 100\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{2.1}}{{10}} \times 100\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 21\% \cr} $$