Final answer:
Option B, which offers an original price reduced by 30%, provides the greatest percent discount among the options given. The percentage discount is the same regardless of the original price, making option D incorrect.
Step-by-step explanation:
To determine which sales option gives the greatest percent discount, let's assess each option:
- Option A: Take 20% off the original price. This means the item would cost 80% of the original price, as 100% - 20% = 80%.
- Option B: Original price reduced by 30%. This means the item would cost 70% of the original price, as 100% - 30% = 70%.
- Option C: On Sale at 75% of the original price. This means you're getting a 25% discount, as 100% - 75% = 25%.
Comparing the discounts: 20%, 30%, and 25%, we see that option B, with a 30% discount, offers the greatest percent discount. Therefore, Option D, which suggests that it depends on the original price, is incorrect since percentage discounts are proportionate regardless of the original price.
Example: Find the total amount of a $150 item with a 10% sales tax assessed. Solution: First, convert the percent to a decimal (10% to 0.10) and multiply by the price. $150 x 0.10 = $15.00. The total amount is the sum of the original price and the sales tax, which is $150 + $15.00 = $165.00.