Discount, Markup, and Margin -- Related but Different

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.