Discounted Price
The final price after applying a percentage discount to the list price.
Formula
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Example
$80 at 30% off: 80×0.70 = $56
How it works
This formula finds the sale price by taking the original list price and keeping only the part that is not discounted. Since a discount of d means that fraction of the price is removed, the remaining fraction is 1 - d. Multiplying the list price by that remaining fraction gives the amount the customer actually pays.
When to use it
Use this whenever you know a product’s original price and the discount rate, such as in shopping, sales promotions, or pricing problems. It is also useful for checking sale tags and calculating prices after markdowns.
Worked example, step by step
A jacket costs $120 and is discounted by 25%. Convert 25% to decimal: d = 0.25 Use the formula: P = List × (1 - d) P = 120 × (1 - 0.25) P = 120 × 0.75 P = 90 Final price = $90
Common mistakes to avoid
- Using the discount decimal instead of 1 - d, which gives the amount removed instead of the final price
- Forgetting to convert a percentage to a decimal before calculating
- Subtracting the discount from the price without finding the correct percentage amount first
Did You Know?
Stacking two 20% discounts gives 36% off, not 40% — the second applies to the already-reduced price.
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