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Discount vs Markup vs Margin Explained
Published May 1, 2026
Discount, Markup, and Margin — Related but Different
Discount, markup, and margin are three pricing concepts that every retailer, freelancer, and finance student encounters. They are closely related but use different denominators — which is why mixing them up leads to costly pricing mistakes.
Definitions
| Concept | Formula | Denominator |
|---|---|---|
| Discount | (List price − Sale price) / List price | List price |
| Markup | (Selling price − Cost) / Cost | Cost |
| Margin | (Selling price − Cost) / Selling price | Selling price |
Why the same number means different things
A 50% markup on a $10 cost gives a $15 selling price. But the margin on that same sale is only 33% — because margin divides by the selling price ($5 ÷ $15), not the cost.
This asymmetry trips people up constantly:
- Quoting a "50% margin" when you mean "50% markup" means you are actually charging less than you think
- A business targeting 40% margin needs a 66.7% markup on cost, not 40%
Converting between markup and margin
Margin = Markup / (1 + Markup)
Markup = Margin / (1 − Margin)
Example: 25% markup → Margin = 0.25 / 1.25 = 20%
Discount stacking
When multiple discounts apply sequentially, they do not simply add:
- A 20% discount followed by a further 10% discount = 28% total reduction, not 30%
- Formula:
Final price = List × (1 − d1) × (1 − d2) × …
This is why "buy one get one 50% off" is a 25% total discount on two units, not 50%.
Practical use cases
- Retail pricing: Set the selling price so your gross margin covers overhead and returns target profit. Work backwards from a desired margin, not forward from a markup.
- Freelance rates: Your hourly rate needs to cover not just labour cost but taxes, downtime, and tools — apply markup carefully so your effective margin is sustainable.
- Promotions: Calculate the margin impact of a discount before running it. A 20% discount on a 25% margin product wipes out the entire profit and puts you at break-even.
Practice list-price cuts with the Discount Calculator, check margins with the Profit Margin Calculator, and stack tax thinking with GST / VAT.