A) 10%
B) 40%
C) 45%
D) 50%
Correct Answer: D
Solution :
Let the cost price of an item \[=Rs.\,x\] \[\therefore \] Selling price of the item \[=Rs.\frac{x\times 125}{100}=Rs.\frac{5x}{4}\] Since, the rate of discount \[=25%\] \[\therefore \] Marked price of an item \[=\frac{5x}{4}\times \frac{100}{75}=Rs.\frac{5x}{3}\] New rate of discount \[=10%\] \[\therefore \] New selling price of an item \[=Rs.\frac{5x}{3}\times \frac{90}{100}=Rs\frac{3x}{2}\] Profit on new selling item on 10% discount \[=Rs\left( \frac{3x}{2}-x \right)=Rs.\frac{x}{2}\] \[\therefore \] Percentage profit \[=\frac{x/2}{x}\times 100%=50%\]You need to login to perform this action.
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