Two traders R and S buy two goods for Rs. 1000 and Rs. 2000 respectively. R marks his goods up by x%, & gave no discount while S marks his goods up by 2x% and offers the discount of x%. If both make the same profit, then find the value of x?

Correct option is D

For R,
Cost price = Rs 1000
Selling price = Rs (100+x)/100×1000=Rs 1000+10x
For S,
Cost price = Rs 2000
Selling price = Rs 2000×(100+2x)/100×(100-x)/100=Rs 0.2 (100+2x)×(100-x)
ATQ,
0.2 (100+2x)×(100-x)- 2000=1000+10x-1000
x = 25