Question

If the cost price of 10 articles is equal to the selling price of 9 articles, then the gain or loss percent is

• A. $11\frac{1}{9}\%$ profit
• B. $11\frac{1}{9}\%$ loss
• C. $11\frac{9}{1}\%$ loss
• D. $11\frac{9}{1}\%$ profit

Answer 1

The correct option is A $11\frac{1}{9}\%$ profit

solution:

cost price of 1 article is x.

cost price of 10 articles is 10x=SP of 9 articles.

cost price of 9 articles =9x

Profit=SP−CP

$\to 10x-9x=x$

Profit(%)= $\frac{profit}{CP}$ x 100

Profit(%)= $\frac{x}{9x}$ x 100 = $\frac{100}{9}$

$11\frac{1}{9}$%

hence the correct opt: A