Triple Discount Calculator
Multiply the original price by (1 - d1)(1 - d2)(1 - d3) to find the real checkout price, total savings, and equivalent single discount for a stacked promotion.
Discount Inputs
Quick Scenarios
Discount Summary
Compare the real final price with the headline percentage stack before you treat the offer as one large markdown.
Final price after 3 discounts
$61.20
A 20.00% + 15.00% + 10.00% stack on $100.00 leaves a final price of $61.20 and a true equivalent discount of 38.80%.
Equivalent single discount
38.80%
Total savings
$38.80
You pay
61.20%
Gap vs simple addition
6.20%
Detailed Breakdown
| Metric | Value |
|---|---|
| Original price | $100.00 |
| Discount #1 rate | 20.00% |
| Discount #1 savings | $20.00 |
| Price after discount #1 | $80.00 |
| Discount #2 rate | 15.00% |
| Discount #2 savings | $12.00 |
| Price after discount #2 | $68.00 |
| Discount #3 rate | 10.00% |
| Discount #3 savings | $6.80 |
| Price after discount #3 | $61.20 |
| Final price | $61.20 |
| Equivalent single discount | 38.80% |
| Simple added discount | 45.00% |
| Gap vs simple addition | 6.20% |
| You pay | 61.20% |
Stage-by-Stage Read
Discount #1
20.00% on $100.00 saves $20.00, leaving $80.00.
Running total: $20.00 saved, or 20.00% off.
Discount #2
15.00% on $80.00 saves $12.00, leaving $68.00.
Running total: $32.00 saved, or 32.00% off.
Discount #3
10.00% on $68.00 saves $6.80, leaving $61.20.
Running total: $38.80 saved, or 38.80% off.
Current Calculation Check
Final price math
Final price = $100.00 x 0.8000 x 0.8500 x 0.9000 = $61.20
Equivalent discount math
Equivalent discount = 1 - (0.8000 x 0.8500 x 0.9000) = 38.80%
Simple addition check
Simple addition = 20.00% + 15.00% + 10.00% = 45.00%
Actual discount is 38.80%, so the headline sum overstates the deal by 6.20%.
Editorial & Review Information
Reviewed on: 2026-03-17
Published on: 2025-12-03
Author: LumoCalculator Editorial Team
What we checked: Stacked-discount formula math, example arithmetic, simple-sum comparison, optional fourth-discount behavior, and source accessibility.
Purpose and scope: This page helps users compare stacked percentage promotions and vendor discount ladders. It is not a tax, shipping, or retailer-policy engine.
How to use this review: Enter the real order of percentage discounts, compare the equivalent single discount with alternate offers, and check store rules before assuming every advertised percentage can actually stack.
Use Scenarios
Retail promo audit
Check whether a sale price, coupon, and member discount really beat a cleaner single markdown before you commit to the offer.
Two-step vs three-step comparison
If the promotion only has two percentage layers, compare it with the Double Discount Calculator instead of assuming a third discount exists somewhere in the checkout flow.
Margin guardrail check
When a stacked markdown is supposed to push volume, test the reduced selling price against your contribution margin before launch so the promotion does not quietly erase the expected profit buffer.
Formula Explanation
1) Final price comes from multiplying the remaining factors
Final price = Original price x (1 - d1) x (1 - d2) x (1 - d3)
Each percentage discount is applied to the reduced running price, so later discounts always work on a smaller base than the first one.
2) Equivalent single discount is easier to compare across offers
Equivalent discount = 1 - (1 - d1)(1 - d2)(1 - d3)
This turns the whole stack into one comparable percentage, which is the cleanest way to judge whether a layered promotion really beats a single markdown.
3) Simple addition is only a headline, not the real result
Simple sum = d1 + d2 + d3
That added percentage is useful only as a headline comparison. The calculator shows the gap between the headline sum and the true equivalent discount so the stack is not overstated.
How to Read the Result
Final price
This is the actual checkout price after every percentage in the stack has been applied in order.
Equivalent single discount
Use this percentage when comparing one stacked deal with another store's single markdown.
Gap vs simple addition
This shows how much the headline added percentages overstate the real discount once the shrinking base is respected.
You pay
The remaining payment share is useful when you need to judge whether the stack still leaves enough margin or whether a simpler promotion would do the same job.
Common Promotion Stacks
| Context | Stack | Equivalent discount | Planning note |
|---|---|---|---|
| Light coupon stack | 10% + 10% + 10% | 27.10% | Three small percentages still fall short of a 30% single offer. |
| Typical promo stack | 20% + 15% + 10% | 38.80% | Useful for checking whether a layered sale is really better than 40% off once. |
| Retail event stack | 30% + 20% + 10% | 49.60% | This is close to a 50% single markdown, not a 60% discount. |
| Clearance stack | 40% + 30% + 20% | 66.40% | The headline percentages sound extreme, but the real discount is still below simple addition. |
| Optional fourth step | 40% + 25% + 10% + 5% | 61.53% | A fourth percentage can help, but the incremental gain is smaller than the headline extra 5%. |
Example Cases
Case 1: Weekend apparel stack
Inputs
- Original price: $180
- Discounts: 30%, 20%, 10%
- Optional fourth discount: Off
Computed Results
- Final price: $90.72
- Total savings: $89.28
- Equivalent single discount: 49.60%
Interpretation
The stack sounds like 60% off, but the real price behaves almost like a 50% markdown.
Decision Hint
Compare it directly with any clean 50% offer before chasing multiple coupon steps.
Case 2: Vendor trade ladder
Inputs
- List price: $12,000
- Discounts: 15%, 10%, 5%
- Optional fourth discount: Off
Computed Results
- Final price: $8,721.00
- Total savings: $3,279.00
- Equivalent single discount: 27.33%
Interpretation
The negotiation stack looks like 30% off on paper, but the effective vendor reduction is lower.
Decision Hint
Use the equivalent rate when comparing suppliers that quote a single concession instead.
Case 3: Checkout bonus added
Inputs
- Original price: $250
- Main discounts: 40%, 25%, 10%
- Fourth discount: 5% card reward
Computed Results
- Final price: $96.19
- Total savings: $153.81
- Equivalent single discount: 61.53%
Interpretation
The extra 5% still helps, but it does not add a full five points to the overall discount because it hits a reduced base.
Decision Hint
Turn the fourth step on only when the extra percentage truly applies after the first three stages.
Boundary Conditions
Sources & References
- Omni Calculator - Triple Discount Calculator - Formula framing, quick worked examples, and equivalent-discount comparison cues.
- CalculatorLib - Triple Discount Calculator - Cascading discount workflow, calculator-first structure, and stacked-price terminology.
- MarginCalculator.org - Triple Discount Calculator - Multi-discount table cues and concise business interpretation for layered promotions.