| If the cost price of an item is two-fifth of its marked price and if it is sold at a discount of 10%, then there will be [SSC (CGL) Mains 2014] |
A) 25% profit
B) 40% profit
C) 50% profit
D) 125% profit
Correct Answer: D
Solution :
| Let the marked price of the item be Rs. x. |
| Then, cost price of item\[=\text{Rs}\text{.}\frac{2}{5}x\] |
| SP of item \[=\frac{(100-\text{Discount}\,\,\text{per}\,\,\text{cent})}{100}\times \text{MP}\] |
| Here, discount per cent \[=10\] |
| \[\Rightarrow \]\[\text{SP}=\frac{100-10}{100}\times x=\frac{9x}{10}\] |
| \[\therefore \]Profit per cent \[=\frac{\text{SP}-\text{CP}}{\text{CP}}\times 100\]% |
| \[=\frac{\frac{9x}{10}-\frac{2x}{5}}{\frac{2}{5}x}\times 100\]% |
| \[=\frac{\left( \frac{9-4}{10} \right)x}{\frac{2}{5}x}\times 100\]% |
| \[=\frac{5}{10}\times \frac{5}{2}\times 100=125\]% |
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