Answer
Hugh received a 40% discount.
Work Step by Step
Let r represent the rate of discount. We can use the basic discount guideline to set up an algebraic equation.
Original selling price - Discount = Discount sale price
Original selling price = 80
Discount sale price = 48
Discount = r $\times$ Original selling price = r $\times$ 80
Substitute these values into the equation to obtain:
80 - 80r = 48
80 - 48 = 80r
32 = 80r
Divide both sides by 80.
r = 0.4
To convert it into a percent, we multiply it by 100%.
The discount rate is 0.4 $\times$ 100% = 40%.
Hugh received a 40% discount.