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A dishonest dealer defrauds to the extent of x in buying...

This question belongs to Arithmetic Ability Profit And Loss
Profit and Loss
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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?

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