A) 40%
B) 52%
C) 60%
D) 50%
E) 47%
Correct Answer: D
Solution :
Let x be the fractional value of % then Marked price of Ravindra \[=1600(1+x)\] Selling price of Ravindra \[=1600(1+x)\left( 1-\frac{x}{2} \right)\] Profit of Ravindra \[=1600\,(1+x)\left( 1-\frac{x}{2} \right)-1600\] The price marked by Sumit\[=800\left( 1+\frac{x}{2} \right)\] Profit \[=800\left( 1+\frac{x}{2} \right)-800\] Both make the same profit \[=800\left( 1+\frac{x}{2} \right)-800=1600\,(1+x)\left( 1-\frac{x}{2} \right)-1600\] or, \[800+400x-800\] \[=1600\left( 1-\frac{x}{2}+x-\frac{{{x}^{2}}}{2} \right)-1600\] or, \[400x=1600-800x+1600x-800{{x}^{2}}-1600\] or, \[400x=800x-800{{x}^{2}}\] or, \[800{{x}^{2}}-400x=0\] or, \[2{{x}^{2}}-x=0\] or, \[x(2x-1)=0\] or, \[x=\frac{1}{2}\] \[\therefore \]\[x=50%\]You need to login to perform this action.
You will be redirected in
3 sec