Consider the following two monetary incentives when purchasing a desktop computer at the regular price of $299.

25% Off All Desktops with Regular Price of $200 or More.
$70 Rebate on Any Purchase of $200 or More.
Find the final price of the better incentive, after the discount has been applied. Round the answer to two decimal places.

1 answer

To determine which incentive provides the better final price for a desktop computer priced at $299, we will calculate the final price for each incentive.

Incentive 1: 25% Off All Desktops

  • Regular price: $299
  • Discount: 25% of $299

Calculating the discount: \[ \text{Discount} = 0.25 \times 299 = 74.75 \]

Calculating the final price after the discount: \[ \text{Final Price} = 299 - 74.75 = 224.25 \]

Incentive 2: $70 Rebate on Any Purchase of $200 or More

  • Regular price: $299
  • Rebate: $70

Calculating the final price after the rebate: \[ \text{Final Price} = 299 - 70 = 229 \]

Comparing the Final Prices:

  • Final price with 25% off: $224.25
  • Final price with $70 rebate: $229.00

The better incentive is the 25% off, which gives a final price of: \[ \boxed{224.25} \]