SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

A trader marks his goods at 20% above the cost price. If he allows a discount of 5% on the marked price, what profit per cent does he make?

A) 14%

B) 16%

C) 18%

D) 20%

Correct Answer: A

Solution :

Let the cost price = Rs. x

\[\therefore \]Marked price \[=x+20%\] of x

\[=x+\frac{x}{5}\]= Rs. \[\frac{6x}{5}\]

Selling price = Rs. \[\left( \frac{6x}{5}-5%of\frac{6x}{5} \right)\]

= Rs. \[\frac{6x}{5}\left( 1-\frac{1}{20} \right)\]

= Rs. \[\frac{6x}{5}\times \frac{19}{20}\]= Rs. \[\frac{57x}{50}\]

Profit \[=\frac{57x}{50}-x\] = Rs. \[\frac{7x}{50}\]

\[\therefore \]Profit per cent\[\frac{\frac{7x}{50}}{x}\times 100=14%\]