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

Question

25% off all desktops with regular prices at $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.

Define a price of the computer after the discount from the better incentive has been applied is $

Answer 1

Let's calculate both incentives for the desktop computer priced at $299.

1. 25% Off Incentive:

   • Calculate 25% of $299: \[ 0.25 \times 299 = 74.75 \]
   • Subtract the discount from the regular price: \[ 299 - 74.75 = 224.25 \]

2. $70 Rebate Incentive:

   • The rebate applies after the full payment, but we first need to ensure the initial conditions:
   • The purchase price is $299, which qualifies for the rebate.
   • The price after the rebate is: \[ 299 - 70 = 229 \]

Now we can compare the final prices from both incentives:

• Price after 25% discount: $224.25
• Price after $70 rebate: $229

The better incentive yields a final price of $224.25.

Thus, the final price after applying the better incentive is: \[ \text{Price of the computer after the discount from the better incentive has been applied is } $224.25 \]