| While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, then profit per cent will be [SSC (CGL) 2012] |
A) 10%
B) 20%
C) \[16\frac{2}{3}\]%
D) \[16\frac{1}{3}\]%
Correct Answer: C
Solution :
| Let MP of an article be Rs. x. |
| \[\therefore \] SP of-an article \[=\,\,\frac{x\times (100-40)}{100}=\,\,Rs.\frac{3x}{5}\] |
| CP of an article |
| \[=\frac{3x}{5}\times \frac{100}{100-30}=\frac{3x}{5}\times \frac{100}{70}=Rs.\frac{6x}{7}\] |
| \[\therefore \] Profit when sold at MP \[=\left( x-\frac{6x}{7} \right)=Rs.\frac{x}{7}\] |
| Hence, profit per cent |
| \[=\,\frac{\frac{x}{7}}{\frac{6x}{7}}\times 100\]%\[=\frac{50}{3}\]%\[\,=\,\,16\frac{2}{3}\]% |
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