| 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 |
A) 25% profit
B) 40% profit
C) 50% profit
D) 125% profit
Correct Answer: D
Solution :
| Let the MP be Rs. x. Then, \[CP=\frac{2}{5}x\] |
| \[\text{SP}=\left( \frac{\text{100}-\text{Discount}}{\text{100}} \right)\times \text{MP}=\left( \frac{100-10}{100} \right)x=\frac{9x}{10}\]\[\text{Profit }\!\!%\!\!\text{ =}\frac{\frac{9x}{10}-\frac{2x}{5}}{\frac{2x}{5}}\times 100=\frac{9x-4x}{4x}\times 100\] |
| \[=\frac{5}{4}\times 100=125\]% |
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