Discount Calculator
Calculate the sale price and how much you save with any discount.
Overview
A discounted price is the original price multiplied by one minus the discount rate, so 30 percent off a 200 unit item leaves 200 × 0.7, or 140, and the saving is the 60 unit difference. The arithmetic is straightforward for a single reduction, and a percentage saving can be read directly off the multiplier. The errors arise only when reductions are combined with one another or reversed.
Preço de Venda
$
Original
$
You Save
$
Per Dollar
%
Enter the original and final prices to find the discount percentage.
Discount
%
Original
$
You Save
$
How to Use
-
1
Enter the original price
Type the list price of the item.
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2
Enter the discount
Type the discount percentage — or stack multiple discounts to see the combined effect.
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3
Read the final price
The sale price and the amount you save are calculated instantly.
About
Successive discounts do not add. Thirty percent off followed by a further twenty percent off leaves 0.7 × 0.8 = 0.56 of the original price, a 44 percent reduction rather than 50. The order of application does not matter, since multiplication commutes, but the assumption of addition consistently overstates the saving.
Reversing a discount requires division rather than subtraction: a price reduced by 20 percent must rise by 25 percent to return to its original level, because the increase applies to the smaller base. The same asymmetry explains why a 50 percent loss requires a 100 percent gain to recover.