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A dishonest dealer defrauds to the extent of x % in buying as well as selling his goods by using faulty weight. What will be the gain per cent on his outlay?
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- 2x%
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10 + x2 
% x - None of these
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x + x2 
% 100
Correct Option: C
Let the C.P. of each article be Re.1.
Percentage of dishonesty = 10%
(Here x% = 10%)
| ∴ Actual C.P. = | = Rs. | 110 | 11 |
∵ He buys 110 articles in Rs. 100.
∵ He sells 90 articles at the C.P. of 100 articles.
| ∴ Actual S.P. = | = Rs. | 90 | 9 |
∴ Profit percent

| = | × | × 100 = | 99 | 10 | 9 |
| Profit percent = 22 | % | 9 |