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 \[=x+\frac{x}{5}=\text{Rs}\,\frac{6x}{5}\] Selling price \[=\left( \frac{6x}{5}-5%\,\,\text{of}\,\frac{6x}{5} \right)\] \[=\frac{6x}{5}\,\left( 1-\frac{1}{20} \right)\] \[=\frac{6x}{5}\times \frac{19}{20}=\text{Rs}\,\,\frac{57}{50}x\] \[\therefore \] Profit \[=\frac{57x}{50}-x=\text{Rs}\,\frac{7x}{50}\] \[\therefore \] Profit per cent \[=\frac{7x/50}{x}\times 100=14%\]
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