Question

A store has clearance items that have been marked down by 45%. They are having a sale, advertising anadditional 50% off clearance items. What percent of the original price do you end up paying?%Give your answer accurate to at least one decimal place.

Answer 1

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:

`1-1*0.45=0.55`

The discounted price is $0.55.

To this price we apply a 50% off. This can be expressed as:

`0.55(1-0.5)=0.55*0.5=0.275`

This is the final price.

We can calculate the percentage of the original price as:

`(P_d)/(P_0)=(0.275)/(1)=0.275=27.5\%`

Answer: 27.5%