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Discount Profit Impact Calculator
Compare unit contribution before and after a discount and calculate the volume needed to preserve it.
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Currency totals round to cents. Sub-dollar unit rates use extra precision; very small rates use scientific notation. Calculations retain unrounded values.
What this means
A discount reduces unit contribution when cost stays fixed. Required extra volume is a mathematical target, not evidence that the discount will generate demand.
Worked example
$100 original price and $60 variable cost leave $40 contribution. A 10% discount gives $90 price and $30 contribution. Margins are 40% and 33.33333333%. To preserve $4,000 contribution from 100 original units requires 134 discounted units, 34 more.
How the math works
Discounted price = original price×(1−discount/100). Original contribution c0=price−cost; discounted c1=discounted price−cost. Margins divide each contribution by its corresponding price. When both contributions are positive, volume multiplier=c0/c1; required whole units=ceiling(original volume×multiplier).
About this estimate
Constant variable cost and unchanged product mix. Volume comparison is intentionally undefined for zero or negative original/discounted contribution. Price-based margin is undefined at zero price. No fixed-cost absorption, elasticity or sales forecast is modeled.
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Formula v1.0.0 · Reviewed · Tool ID: discount-profit-impact