Question

The cost price of an article is 90% of its selling price. What is the profit or the loss as percent?

• A. $10\frac{1}{9}\%$ loss
  
• B. $11\frac{1}{9}\%$ profit
• C. $9\frac{1}{9}\%$ loss
  
• D. $12\frac{1}{9}\%$ profit

Answer 1

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

Given, $C.P=90$ % of S.P. $=0.9S.P.$
Since, $C.P.<S.P.$, there is a profit
So, Profit $\%$ $=\frac{S.P.-C.P.}{C.P.}\times 100=\frac{S.P.-0.9S.P.}{0.9S.P}\times 100=\frac{1}{9}\times 100=11\frac{1}{9}$ %