Discount Price (Percentage Off)

Also known as percent off · sale price · discounted price

S=L (1−d)S = L\,(1 - d)
$
$

Worked example: 30% off $250 → $175 — press Try an example to run it live, then adjust anything.

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Grade 10Grade 10 Math

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Discount Price (Percentage Off) explained

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A percentage off multiplies the list price by what remains: 30% off $250 leaves 250×0.70=$175250 \times 0.70 = \$175. Solved the other way, any pair of list and sale prices reveals the discount actually given, which is the useful direction when a supplier quotes you a net price and you want to know where you sit on their schedule.

Two things trip people up. Successive discounts do not add: 20% off followed by a further 10% off is 0.8×0.9=0.720.8 \times 0.9 = 0.72, a 28% discount rather than 30%. And a discount is not the mirror of a markup. Marking $100 up by 50% gives $150, but taking 50% off $150 gives $75, not $100. To undo a markup you divide, and the equivalent discount is always the smaller percentage.

Discount Price (Percentage Off) formula

S=L (1−d)S = L\,(1 - d)
Where
  • SS= Sale price ($)
  • LL= List price ($)
  • dd= Discount

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