Question

a computer store buys a computer system at a cost of $370.80. the selling price was first at $618, but then the store advertised a 20% markdown on the system. answer parts a and b.

b. members of the store’s loyalty club get an additional 20% off their computer purchases. how much do club members pay for the computer with their discount?

the price for club members is $ (round to the nearest cent as needed.)

Explanation:

Step1: Find the marked - up price

The cost price of the computer system is $C = 370.80$, and the selling price before the club - member discount is $S_1=618$. But we can also calculate the marked - up price using the cost price and the markup percentage. The markup percentage is 20%, so the marked - up price (the price before the club - member discount) can be calculated as $P_1=\text{Cost Price}\times(1 + \text{Markup Percentage})$.
$P_1=370.80\times(1 + 0.2)$
$P_1 = 370.80\times1.2=444.96$? Wait, no, the problem says the selling price was first at $618$. So we use the selling price of $618$ as the price before the club - member discount.

Step2: Apply the club - member discount

The club members get an additional 20% off. So the price they pay $P_2$ is the price before discount minus 20% of that price. Mathematically, $P_2=P_1\times(1 - 0.2)$, where $P_1 = 618$.
$P_2=618\times0.8$
$P_2 = 494.4$

Answer:

$494.40$