A dishonest dealer defrauds to the extent of x% in buying as well as selling is goods by using faulty weight. What will be the gain percent on his outlay?

A. $$2x\% $$

B. $$\left( {\frac{{10}}{x} + {x^2}} \right)\% $$

C. $$\left( {2x + \frac{{{x^2}}}{{100}}} \right)\% $$

D. $$\left( {x + \frac{{{x^2}}}{{100}}} \right)\% $$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Total profit}} \cr & = x + x + \frac{{x \times x}}{{100}} \cr & = \left( {2x + \frac{{{x^2}}}{{100}}} \right)\% \cr} $$