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?
Correct option is
Explanatory Answer :
Selling price of trader A = 1000(1+x)
Profit of trader A = 1000(1+x)-1000
Marked price of trader B = 2000(1+2x)
Selling price of trader B = 2000(1+2x)(1-x)
Profit of trader B = 2000(1-x) - 2000
Now, both have same profit
1000(1+x)-1000 = 2000(1-x) - 2000
by solving we get
(1000x)(4x-1) = 0
x = 25
Hence, the answer is 25%.