Question

A shopkeeper sells $25$ articles at $Rs.45$ per article after giving $10\%$ discount and earns $50\%$ profit If the discount is not given the profit gained is

• A. $60\%$
• B. $60\frac{2}{3}\%$
• C. $66\%$
• D. $66\frac{2}{3}\%$

Answer 1

The correct option is D $66\frac{2}{3}\%$

S.P. of $1$ article= $Rs.45$.
Let marked price of each article be $Rs.x$
Then,S.P. = $90\%ofRs.x$
$\Rightarrow 45=\frac{90x}{100}$
$\Rightarrow x=\frac{45\times 100}{90}$
$\Rightarrow x=50$

Profit earned =$50\%$
$C.P=Rs.\frac{100}{150}\times 45$
$C.P=Rs.30$

If no discount given,then
$Profit=Rs.(50-30)=Rs.20$
Profit Percentage=$\frac{20}{30}\times 100\%=66\frac{2}{3}\%$