A) \[44\frac{2}{9}%\]
B) \[42\frac{2}{9}%\]
C) \[43\frac{2}{9}%\]
D) None of these
Correct Answer: B
Solution :
Let marked price \[=x\] Price after commission \[=\frac{90}{100}\cdot x\] Profit = 60% \[CP=\frac{100}{100+60}\times \frac{9}{10}\cdot x=\frac{9}{16}\cdot x\] When commission = 20% \[SP=\frac{80}{100}.x=\frac{4}{5}.x\] Profit \[=\frac{4x}{5}-\frac{9x}{16}=\frac{19x}{80}\] Profit percentage \[=\frac{80}{\frac{9x}{16}}\times 100\] \[=\frac{19x}{80}\times \frac{16}{9x}\times 100\] \[=42\frac{2}{9}%\]
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