Let the C.P be Rs.100 and *.P be Rs.x, Then
The profit is (x-100)
Now the .P is doubled, then the new .P is 2x
New profit is (2x-100)
Now as per the given condition;
=> 3(x-100) = 2x-100
3x - 300 = 2x - 100
3x - 2x = -100 + 300
x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%