The price of a car was increased by 15% and the car was then sold for $41400.

Find the cost of the car before the increase. How do I work this out without guess and check? Is there a algebraic method I should do? If anyone knows please reply with a solution to do without guess and check :D thankyou

Po * (1 + 15/100) = Ps
Po = Original Price
Ps = Sell Price

Po*(1.15) = Ps
Po = Ps/1.15
Po = 41400/1.15
Po = 36000

41400=1.015*(X)

41400/1.015=X

X= $40788.18

1.015 = 100% + 15% increase