Double Discount Calculator
Stacked discounts
Result
| Final price | — |
|---|---|
| Total savings | — |
| Effective discount | — |
How to Use This Double Discount Calculator
Store signs love stacking percents—“take an extra 20% off clearance”—and the mental math falls apart fast. I have watched shoppers add 20% and 10% in their heads, assume 30% off, and then stare at a register total that does not match. The second markdown always hits the current price, not the original tag. This calculator takes an original price plus two discount percentages and returns the final price, total dollar savings, and the single effective discount percent that describes the whole deal.
To get started, enter the pre-promotion original price in dollars. Type the first discount percent and the second discount percent. Results update as you edit—no submit button. Default values mirror a common textbook example: $50 with 20% off, then 10% off the reduced price, lands at $36, not $35 from a naive 30% assumption.
Use the effective discount row when you need one headline number for a spreadsheet or a margin check. Pair this with the Discount Calculator for single-step markdowns, the Margin Calculator if you are pricing wholesale cost against a stacked promo, and the Sales Tax Calculator when the receipt total must include tax after discounts.
Double Discount Calculator Formulas and Practical Applications
Sequential percent-off math
Convert each discount from a percent to a decimal factor, multiply the factors together, then multiply by the original price. The second discount never sees the full original—it sees whatever remained after the first cut.
Final Price = Original × (1 − r) × (1 − q)
Here r is the first discount as a decimal and q is the second. Example on $50 with 20% then 10%: after the first discount, $50 − 0.20 × $50 = $40; after the second, $40 − 0.10 × $40 = $36.
Total savings and effective discount
Total savings is simply original minus final price—the cash left in your wallet versus paying full sticker. Effective discount expresses that savings as one percent of the original, which is what you would have needed from a single markdown to reach the same checkout price.
Total Savings = Original − Final Price
Effective Discount % = Total Savings ÷ Original × 100
Two 10% steps produce (1 − 0.10) × (1 − 0.10) = 0.81, so you pay 81% of the original and the effective discount is 19%, not 20%. That gap is why “extra 10% off” coupons feel smaller than they sound on an already-clearance rack.
Retail and margin checks
In practical environments, run stacked discounts before you approve a promotion that could breach a margin floor. If landed cost is fixed and you publish two sequential percents, this tool shows the true revenue per unit. Compare the final price against cost in the Margin Calculator before the sale goes live—clearance events that look generous on signage can still erase profit when shipping or payment fees sit underneath.
Frequently Asked Questions
What is the total discount after two 10% discounts?
The effective discount is 19%, not 20%. Each 10% comes off the current price: 0.9 × 0.9 = 0.81, so you pay 81% of the original and save 19% overall.
What is the price after two 10% discounts on $100?
The final price is $81. The first 10% off $100 leaves $90; the second 10% applies to $90, not $100, which removes $9 for $81 at checkout.
Does order matter for two percent discounts?
When both discounts are simple percentages off the running price, multiplication commutes: (1 − r)(1 − q) equals (1 − q)(1 − r). The final price is the same either way.
How is effective discount different from adding the percents?
Adding 20% plus 10% to get 30% off overstates savings. Retailers apply the second percent to the already-reduced price, so the true total markdown is lower than the sum of the headline numbers.
Does this include sales tax?
No. Final price is pre-tax. Use the Sales Tax Calculator to add tax after you know the discounted shelf price.
Disclaimer. RapidRatio is informational only—not financial or tax advice. Store policies, coupons, and loyalty credits may apply discounts in a different order than modeled here.