A) \[11\frac{2}{9}%\]
B) \[21\frac{2}{9}%\]
C) \[22\frac{2}{9}%\]
D) None of these
Correct Answer: C
Solution :
Let the actual CP of an article be ? 100, then the effective \[CP=\frac{100}{110}=\frac{10}{11}\] (since, the purchases 110 articles by paying ? Again, \[SP=\frac{100}{90}=\frac{10}{9}\] (since, the sells only 90 articles changing the CP of 100 articles) \[\therefore \] Gain percentage \[=\frac{SP-CP}{CP}\times 100=\frac{\frac{10}{9}-\frac{10}{11}}{\frac{10}{11}}\times 100\] \[=\frac{20}{99}\times \frac{11}{10}\times 100=\frac{200}{9}\] \[=22\frac{2}{9}%\]
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