Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same non-zero profit, find x.  Choose the correct choice from the following answers.
A) 25%	B) 12.5%	C) 37.5%	D) 40%	E) 50%
DETAILED SOLUTION   SP of trader A = 1000 (1 + x).   Profit of trader A = 1000 (1 + x) – 1000.   MP of trader B = 2000 (1 + 2x).   SP of trader B = 2000 (1 + 2x) (1 – x).   Profit of trader B = 2000(1 + 2x) (1 – x) – 2000.   Both make the same profit =&gt; 1000(1 + x) – 1000 = 2000(1 + 2x) (1 – x) – 2000   1000x = 2000 – 4000x2 + 4000x – 2000x – 2000   4000x2 -1000x = 0   1000x (4x – 1) = 0   =&gt; x = 25%.   25%nswer choice (25%)
<result>A</result>
Traders A and B buy two goods for Rs. 1000 and Rs. 2000 respectively. Trader A marks his goods up by x%, while trader B marks his goods up by 2x% and offers a discount of x%. If both make the same non-zero profit, find x.