Answer
The original price of the purse was 225 dollars.
Work Step by Step
Let p represent the original price of thepurse. We can use the basic discount guideline to set up an algebraic equation.
Original selling price - Discount = Discount sale price
Original selling price = p
Discount = 20% $\times$ p = 0.2p
Discount sale price = 180
So,
p - 0.2p = 180
0.8p = 180
Divide both sides by 0.8.
p = 225
The original price of the purse was 225 dollars.