We have clearance items that have two discounts applied to its price.
We can use a $1 item to find the final discount.
If we apply a 45% mark down, we will obtain a price of:
[tex]1-1*0.45=0.55[/tex]The discounted price is $0.55.
To this price we apply a 50% off. This can be expressed as:
[tex]0.55(1-0.5)=0.55*0.5=0.275[/tex]This is the final price.
We can calculate the percentage of the original price as:
[tex]\frac{P_d}{P_0}=\frac{0.275}{1}=0.275=27.5\%[/tex]Answer: 27.5%
