Question

If S.P. of an article is $\frac{4}{3}$ of its C.P. What is the profit percentage in the transaction?

• A. $\frac{1}{3}$%
• B. $20\frac{1}{2}$%
• C. $33\frac{1}{3}$%
• D. $25\frac{1}{2}$%

Answer 1

The correct option is C $33\frac{1}{3}$%

Let's assume $CostPrice=x$

Then, $SellingPrice=\frac{4}{3}x$

$Profit=SellingPrice-CostPrice=\frac{4}{3}x-x=\frac{x}{3}$

$ProfitPercentage=\frac{Profit\times 100}{CostPrice}=\frac{\frac{x}{3}\times 100}{x}=\frac{100}{3}=33\frac{1}{3}\%$