Advanced Triple Discount — Smart Financial Analysis
Triple discounts apply multiplicatively — 20%+10%+5% = 31.6% effective, not 35%. Calculate net price, equivalent single discount, and savings breakdown.
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Triple discount (successive or chain discount) means applying three discounts one after another. Apply each discount to the current price: Price after 1st = Original × (1-d1/100). Effective discount = 1 - (1-d1)(1-d2)(1-d3). In wholesale trade, manufacturers often offer a discount series: e.g., 30% trade + 15% quantity + 5% seasonal.
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Why: Triple discount (successive or chain discount) means applying three discounts one after another. Each discount applies to the reduced price from the previous step. A 20%+10%+5% ...
How: Enter Original Price ($), 1st Discount (%), 2nd Discount (%) to get instant results. Try the preset examples to see how different scenarios affect the outcome, then adjust to match your situation.
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Inputs
| Step | Price Before | Discount | Price After |
|---|---|---|---|
| 1st (20%) | $500.00 | -$100.00 | $400.00 |
| 2nd (10%) | $400.00 | -$40.00 | $360.00 |
| 3rd (5%) | $360.00 | -$18.00 | $342.00 |
Discount Application Waterfall (Bar)
Triple vs Single Equivalent (Bar Grouped)
Effective Discount by Combination (Line)
Savings Breakdown (Doughnut)
For educational purposes only — not financial advice. Consult a qualified advisor before making decisions.
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Triple discounts (successive/chain discounts) are applied multiplicatively, NOT additively. A 20%+10%+5% triple discount is NOT 35% — it's 31.6%! Each discount applies to the REDUCED price: $500 × 0.80 × 0.90 × 0.95 = $342. This matters hugely in wholesale trade where manufacturers offer discount series (trade + quantity + seasonal). The order of discounts doesn't matter mathematically (multiplication is commutative), but psychologically, larger discounts shown first feel more impactful. Equivalent single discount formula: 1 - (1-d1)(1-d2)(1-d3).
📖 How Successive Discounts Work
Each discount applies to the price after the previous one. $500 with 20%+10%+5%: After 1st: $400. After 2nd: $360. After 3rd: $342. Net = Original × (1-d1) × (1-d2) × (1-d3). The key insight: you never get the full sum of percentages because each step reduces the base.
📐 Triple Discount Formula
Effective discount = 1 - (1-d1)(1-d2)(1-d3). For 20%+10%+5%: 1 - (0.80×0.90×0.95) = 31.6%. Order does not matter — 20% then 10% = 10% then 20%. Multiplication is commutative, so apply discounts in any sequence.
🏭 Trade Discount Series
Wholesale manufacturers often offer: trade discount (channel) + quantity discount + seasonal discount. These stack multiplicatively. $10K with 30%+15%+5% = $5,652.50 — effective 43.5%. NACM and McKinsey document this pattern in B2B pricing.
💰 Single vs Triple: Who Wins?
One 30% discount on $1K = $700. Three 10% discounts = $729. Single discount wins by $29! The more you split discounts, the less effective they become. When negotiating, push for one larger discount rather than several small ones.
🛒 E-Commerce Stacking
Most sites apply sale + coupon + cashback sequentially. $150 with 15%+10%+5% = $109.01. Check terms — some exclusions apply to clearance or already-discounted items. NRF reports that stacking is allowed at 87% of major brands.
📈 Equivalent Single Discount
A 20%+15%+10% triple equals one 38.8% discount. $800 × 0.612 = $489.60. Use this to compare deals: one big discount often beats several small ones. Harvard Business Review pricing research supports this.
⚠️ Perceived vs Actual Gap
Shoppers think 20+15+10 = 45%; actual is 38.8%. The gap widens with more layers. Retailers count on this psychology. Behavioral economics studies show the average shopper overestimates triple discounts by ~15%.
❓ Frequently Asked Questions
What is triple discount?
Triple discount (successive or chain discount) means applying three discounts one after another. Each discount applies to the reduced price from the previous step. A 20%+10%+5% triple is NOT 35% off — it's 31.6% effective. Formula: Net = Original × (1-d1) × (1-d2) × (1-d3).
How to calculate successive discounts?
Apply each discount to the current price: Price after 1st = Original × (1-d1/100). Price after 2nd = (Price after 1st) × (1-d2/100). Price after 3rd = (Price after 2nd) × (1-d3/100). Example: $500 with 20%+10%+5% = $500 × 0.80 × 0.90 × 0.95 = $342.
What is the triple discount formula?
Effective discount = 1 - (1-d1)(1-d2)(1-d3). Net price = Original × (1-d1)(1-d2)(1-d3). For 20%+10%+5%: 1 - (0.80×0.90×0.95) = 1 - 0.684 = 31.6% effective. Order does not matter — multiplication is commutative.
What is trade discount series?
In wholesale trade, manufacturers often offer a discount series: e.g., 30% trade + 15% quantity + 5% seasonal. These stack multiplicatively. A $10K list with 30%+15%+5% becomes $5,652.50 — effective 43.5%, not 50%.
What is net price after triple discount?
Net price = Original × (1-d1/100) × (1-d2/100) × (1-d3/100). For $500 with 20%+10%+5%: $500 × 0.80 × 0.90 × 0.95 = $342. The "net" is what you pay after all discounts.
What is stacking discounts math?
Stacking discounts multiplies the retention factors. Three 10% discounts = 0.90 × 0.90 × 0.90 = 0.729, so 27.1% off. One 30% discount = 0.70, so 30% off. Single discount wins! $1K: one 30% = $700 vs 10%+10%+10% = $729 — single saves $29 more.
Disclaimer: This calculator provides estimates. Actual stacking rules vary by retailer. Not financial advice.
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