For a price problem, you first subtract

For a price problem, you first subtract

• A. the percentage to be deducted from 100%
• B. the tax from the total
• C. the discount from 0%
• D. the rate from 1

Answer: (A)

Discount problems hinge on using the complement of the discount relative to the whole. When you want the amount you actually pay after a discount, you look at what fraction of the price remains: 100% minus the discount percentage. So you pay 100% − discount% of the original price. For example, with a 25% discount on a $100 item, you pay 75% of $100 = $75. In decimal terms, multiply by (1 − discount rate), which is the same idea. This is why subtracting the discount from 100% is the right first step. Subtracting tax from the total isn’t how discounts work, and subtracting the discount from 0% doesn’t yield a meaningful result. Subtracting the rate from 1 works in decimal form, but when using percentages, framing it as 100% minus the discount percentage is the direct, correct approach.

Discount problems hinge on using the complement of the discount relative to the whole. When you want the amount you actually pay after a discount, you look at what fraction of the price remains: 100% minus the discount percentage. So you pay 100% − discount% of the original price. For example, with a 25% discount on a $100 item, you pay 75% of $100 = $75. In decimal terms, multiply by (1 − discount rate), which is the same idea.

This is why subtracting the discount from 100% is the right first step. Subtracting tax from the total isn’t how discounts work, and subtracting the discount from 0% doesn’t yield a meaningful result. Subtracting the rate from 1 works in decimal form, but when using percentages, framing it as 100% minus the discount percentage is the direct, correct approach.