Question

In order to maintain the price line, a trader allows a discount of 10% on the marked price of goods in his shop. However, he still makes a gross profit of 17% on the cost price. Find the profit percent he would have made on the selling price had he sold at the marked price.

• A. $23.07\%$
• B. $30\%$
• C. $21.21\%$
• D. $25\%$

Answer 1

The correct option is B $30\%$

Let the cost price be Rs. x and marked price be Rs

$Given,y-y\times \frac{10}{100}=x+x\times \frac{17}{100}$

$\Rightarrow y\times \frac{90}{100}=x\times \frac{117}{100}\Rightarrow y=\frac{117}{90}x$
$\therefore y-x=\frac{27}{90}x$
$\therefore$ Required profit percent
$=\frac{y-x}{x}\times 100=\frac{27}{90}\times 100=30\%$