Discount Price
Final price after a percentage discount.
Formula
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Example
$80 at 25% off = $60
How it works
A discount reduces the original price by a certain percentage, so you first find the fraction of the price that remains. Since a discount of p% means you keep 100% - p% of the original cost, the multiplier becomes 1 - p/100. Multiplying the original price N by this multiplier gives the final amount to pay.
When to use it
Use this when a shop, invoice, or online listing gives a percentage off an original price. It is also useful anywhere a quantity is reduced by a percent and you need the remaining value.
Worked example, step by step
Original price: N = $50 Discount: p = 12% Substitute into the formula: price = N(1 - p/100) price = 50(1 - 12/100) price = 50(1 - 0.12) price = 50(0.88) price = 44 Final price = $44
Common mistakes to avoid
- Subtracting the discount percent from the price directly, such as 50 - 12 = 38
- Using p as a whole number instead of dividing by 100
- Finding the discount amount correctly but forgetting to subtract it from the original price
Did You Know?
Stores love prices ending in .99 because we read left-to-right and perceive $9.99 as closer to $9 than $10.
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