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