Question

If S.P. of an article is $\frac{4}{3}$ of its C.P., then the profit $\%$ in the transaction is ___________.

• 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 $33\frac{1}{3}\%$

Profit percent is defined as ,

$\frac{\text{SP}-\text{CP}}{\text{CP}}\times 100$ $\%$

In our case, $\text{SP}=\left(\frac{4}{3}\right)\text{CP}$

So we get , $\frac{\left(4/3\right)\text{CP}-\text{CP}}{\text{CP}}\times 100$%

$=\frac{\text{CP}/3}{\text{CP}}\times 100=\frac{100}{3}=33\frac{1}{3}$ $\%$