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Discount Impact on Profit Calculator
A discount comes straight out of your margin. Enter your price, gross margin (or unit cost) and the discount to see how many more units you must sell to earn the same gross profit, plus your new margin and profit per unit.
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I know my
$
%
(Price − variable cost) ÷ price.
$
Product + variable costs per unit.
%
Used for units and money totals.
Enter your values to see the result.
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How to use the Discount Impact on Profit Calculator
- Choose what you know: your gross margin, or your price and unit cost.
- Enter the regular price and the margin or cost.
- Enter the discount you are considering and how many units you sell now.
- Press Calculate impact to see the sales increase needed and your new margin.
- Compare discounts in the tables before you launch a promotion.
The discount break-even formula
- Required sales increase = D ÷ (M − D), with D = discount and M = gross margin as decimals
- Units needed = current units × M ÷ (M − D)
- Margin after discount = (M − D) ÷ (1 − D)
- Profit per unit after discount = price × (M − D)
Example: a $40 product with a 50% margin earns $20 per unit. With 20% off it sells for $32 and earns $12. To keep $4,000 of gross profit from 200 units you now need 4,000 ÷ 12 = 333.3 units, a 66.7% increase. The margin on the sale price is 12 ÷ 32 = 37.5%.
Sales increase needed by discount and margin
| Discount | 20% margin | 30% margin | 40% margin | 50% margin | 60% margin |
|---|---|---|---|---|---|
| 5% | 33% | 20% | 14% | 11% | 9% |
| 10% | 100% | 50% | 33% | 25% | 20% |
| 15% | 300% | 100% | 60% | 43% | 33% |
| 20% | n/a | 200% | 100% | 67% | 50% |
| 25% | n/a | 500% | 167% | 100% | 71% |
| 30% | n/a | n/a | 300% | 150% | 100% |
n/a means the discount equals or exceeds the margin, so profit per unit is zero or negative.
Making discounts pay
- Prefer targeted offers (first order, cart abandoners, bundles) over site-wide discounts that also go to customers who would have paid full price.
- Use a minimum spend such as "20% off orders over $75" so the larger basket offsets the margin loss.
- Measure the real lift: compare units sold against a similar period without the promotion, and include the dip that often follows a sale.
- Consider value-adds such as a free gift whose cost is lower than the equivalent discount.
Frequently asked questions
How much more do I need to sell after a discount?
Required sales increase = discount ÷ (margin − discount). At a 50% gross margin, a 20% discount needs 0.20 ÷ 0.30 = 66.7% more units to keep the same gross profit. Selling 200 units today means about 333 units on sale.
Why is the increase so large?
A discount is taken from the selling price but your cost stays the same, so it comes entirely out of profit. A 20% discount on a 50% margin product cuts profit per unit from 50% of the price to 30%, a 40% drop, so you need 1 ÷ 0.6 = 1.67 times the volume.
What if the discount is bigger than my margin?
Then every discounted unit sells at or below cost and earns no gross profit, so no amount of extra volume can restore profit. The calculator flags this case. It may still make sense for clearing old stock, but treat it as a cost, not a profit plan.
What margin should I use?
Use gross margin based on variable costs: (price − cost of goods and other per-unit costs) ÷ price. Fixed costs such as rent do not change with each sale, so they are not included in this formula.
What is my margin after a discount?
New margin = (margin − discount) ÷ (1 − discount). A 50% margin with a 20% discount becomes 0.30 ÷ 0.80 = 37.5% of the discounted price.
Is this the same as price elasticity?
No. This calculator tells you the break-even volume a discount needs. Price elasticity estimates how much volume actually changes when price changes. If your expected volume gain is smaller than the required increase, the discount reduces profit.
Are all the tools on FreeToolCabin tested for quality and accuracy?
Yes! Every tool on our site undergoes automated Q/A testing in real browser environments to ensure high precision, correct output, and zero errors. If you happen to spot a bug or have a suggestion, please contact us at [email protected] and our team will review it right away.
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