Questions: PC Replacements offers a PC processor for 340.28 less a series discount of 10/18. PC Upgrades offers the same processor for 290.28 less a series discount of 5 / 13. Find the net price for both retailers, and the difference between the two prices. What is the net price of a PC processor from PC Replacements? What is the net price of a PC processor from PC Upgrades? What is the difference between the two prices?

Solution Steps

The original price of the processor from PC Replacements is \$340.28. The series discount is 10/18, which means a 10% discount followed by an 18% discount.

First, apply the 10% discount: \[ 340.28 \times (1 - 0.10) = 340.28 \times 0.90 = 306.252 \]

Next, apply the 18% discount to the result: \[ 306.252 \times (1 - 0.18) = 306.252 \times 0.82 = 251.12664 \]

Round to the nearest cent: \[ 251.12664 \approx 251.13 \]

The net price from PC Replacements is \boxed{251.13}.

The original price of the processor from PC Upgrades is \$290.28. The series discount is 5/13, which means a 5% discount followed by a 13% discount.

First, apply the 5% discount: \[ 290.28 \times (1 - 0.05) = 290.28 \times 0.95 = 275.766 \]

Next, apply the 13% discount to the result: \[ 275.766 \times (1 - 0.13) = 275.766 \times 0.87 = 239.91642 \]

Round to the nearest cent: \[ 239.91642 \approx 239.92 \]

The net price from PC Upgrades is \boxed{239.92}.

Subtract the net price of PC Upgrades from the net price of PC Replacements: \[ 251.13 - 239.92 = 11.21 \]

The difference between the two prices is \boxed{11.21}.

Final Answer