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Markdown — Definition, Formula & Examples

A markdown is the amount by which a seller lowers the original selling price of an item. It is usually expressed as a dollar amount or as a percentage of the original price.

A markdown is the difference between the original selling price and the reduced selling price of a good or service, where the markdown percentage equals the ratio of that difference to the original price, multiplied by 100.

Key Formula

Sale Price=Poriginal×(1r)\text{Sale Price} = P_{\text{original}} \times (1 - r)
Where:
  • PoriginalP_{\text{original}} = The original selling price before the reduction
  • rr = The markdown rate expressed as a decimal (e.g., 25% = 0.25)

How It Works

Stores use markdowns when they want to clear out inventory, match a competitor, or run a sale. To find the markdown amount, subtract the new (reduced) price from the original price. To find the markdown percentage, divide the markdown amount by the original price and convert to a percent. The sale price can also be found directly: multiply the original price by (1markdown rate)(1 - \text{markdown rate}).

Worked Example

Problem: A store originally sells a jacket for $80. The manager marks it down by 30%. What is the sale price?
Find the markdown amount: Multiply the original price by the markdown rate.
$80×0.30=$24\$80 \times 0.30 = \$24
Subtract from the original price: Take the markdown amount away from the original price to get the sale price.
$80$24=$56\$80 - \$24 = \$56
Answer: The sale price of the jacket is $56.

Why It Matters

Markdown calculations appear throughout 7th-grade ratio and percent standards (7.RP.A.3) and on state assessments. Retailers, buyers, and e-commerce analysts use markdowns daily to set clearance prices and forecast profit margins.

Common Mistakes

Mistake: Confusing markdown with markup. Students sometimes add the percentage to the price instead of subtracting it.
Correction: A markdown reduces the price (multiply by 1r1 - r), while a markup increases it (multiply by 1+r1 + r). Check whether the problem describes a price going down or up.

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