| 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, profit per cent will be |
A) 10%
B) 20%
C) \[16\frac{2}{3}\]%
D) \[16\frac{1}{3}\]%
Correct Answer: C
Solution :
| Let MP of an article = 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 percent |
| \[=\frac{\frac{x}{7}}{\frac{6x}{7}}\times 100%\[=\,\frac{50}{3}\]%\[=\,16\frac{2}{3}\]% |
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