Calculate the final price after discount, find the discount percentage, or discover the original price. Stack multiple discounts to see total savings.
Stack another discount (like extra 10% off)
Final Price
$75.00
You Save
$25.00
Total Discount
25.0%
You Pay
$75.00
You Save
$25.00
Pay 90%
×0.90
Pay 80%
×0.80
Pay 75%
×0.75
Pay 70%
×0.70
Pay 50%
×0.50
To calculate quickly: multiply price by the "×" factor (e.g., 25% off = price × 0.75)
Original × (1 - Discount%)
Example: $80 × (1 - 0.25) = $60
(Original - Sale) / Original
Example: ($80 - $60) / $80 = 25%
Sale / (1 - Discount%)
Example: $60 / (1 - 0.25) = $80
A percentage discount reduces the price by a fraction of the original: Sale Price = Original x (1 - Discount%). A 25% discount on a $120 item yields $120 x 0.75 = $90. A dollar discount subtracts a fixed amount: $20 off $120 = $100, which equals a 16.7% discount. Dollar discounts are more impactful on lower-priced items, while percentage discounts scale with price.
Stacked discounts (also called cascading or sequential discounts) do not add together. A 20% discount followed by an additional 15% off applies the second discount to the already-reduced price: $100 x 0.80 x 0.85 = $68, which is a 32% total discount -- not 35%. The formula for total effective discount rate is: 1 - ((1 - d1) x (1 - d2)), where d1 and d2 are the decimal discount rates.
| First Discount | Second Discount | Combined Effect | If Added (Wrong) |
|---|---|---|---|
| 20% | 10% | 28.0% | 30% |
| 25% | 15% | 36.25% | 40% |
| 30% | 20% | 44.0% | 50% |
| 40% | 25% | 55.0% | 65% |
| 50% | 50% | 75.0% | 100% |
Quantity discount pricing incentivizes larger orders by reducing the per-unit price at specific volume thresholds. Common structures include tiered pricing (different rates for each tier), cumulative discounts (retroactive price reduction once a threshold is met), and all-units pricing (the discount applies to all units once the threshold is reached). A supplier offering $10/unit for 1-99 units, $8.50 for 100-499, and $7 for 500+ uses tiered all-units pricing.
The break-even volume for offering a discount determines profitability. If your normal margin is 40% on a $50 item ($20 profit per unit) and you offer a 15% discount ($42.50 price, $12.50 profit), you need to sell 60% more units just to match the same total profit: ($20 x 100 units = $2,000) vs. ($12.50 x 160 units = $2,000). Many businesses underestimate this required volume increase.
Psychological pricing research shows that consumers perceive percentage discounts as larger on items under $100 and dollar discounts as larger on items over $100. "Save 25%" on a $40 item feels better than "Save $10," even though they are identical. For items over $100, "$30 off" outperforms "15% off" in conversion rates. Retailers use this as the "Rule of 100" in promotional strategy.
Discounts reduce profit disproportionately relative to the discount percentage. A product with a 50% gross margin that receives a 20% discount loses 40% of its gross profit, not 20%. The math: original price $100, cost $50, profit $50. After 20% discount: price $80, cost $50, profit $30. Profit dropped from $50 to $30 -- a 40% reduction in profit for a 20% price cut.
The volume increase required to compensate for a discount follows this formula: Required Volume Increase = Discount% / (Current Margin% - Discount%). For a business with a 30% margin offering a 10% discount: 10% / (30% - 10%) = 50% more volume needed. At a 20% margin with a 10% discount: 10% / (20% - 10%) = 100% more volume. Thin-margin businesses are especially vulnerable to discount erosion.
Alternative strategies to discounting include: bundling (adding perceived value without cutting price), loyalty rewards (future discounts that build retention), free shipping (often perceived as more valuable than an equivalent price reduction), and gift-with-purchase (using low-cost items to increase perceived value). Amazon data shows that free shipping increases conversion rates by 30-40%, often more effectively than an equivalent percentage discount.
Learn more about smart shopping and pricing:
Federal Trade Commission consumer protection resources
Always compare prices across retailers and verify original prices before assuming a discount is genuine.