Triple Discount Calculator
Calculate final price and total savings from three sequential discounts applied one after another
Calculate Triple Discount
Enter the original price before any discounts
Applied to original price
Applied after first discount
Applied after second discount
Calculation Results
Step-by-Step Calculation
Formula: Final Price = Original Price × (1 - r₁) × (1 - r₂) × (1 - r₃)
Calculation: $0.00 × (1 - 0) × (1 - 0) × (1 - 0) = $0.00
Discount Analysis
Example Calculations
Black Friday Electronics Sale
Original Price: $800.00
Store Sale: 25% off → $600.00
Member Discount: 10% off → $540.00
Credit Card Cashback: 5% off → $513.00
Total Savings: $287.00 (35.88% effective discount)
Clothing Clearance Sale
Original Price: $120.00
End of Season: 40% off → $72.00
Extra Clearance: 20% off → $57.60
Store Card: 15% off → $48.96
Total Savings: $71.04 (59.20% effective discount)
Restaurant Promotion
Original Bill: $50.00
Happy Hour: 20% off → $40.00
App Discount: 15% off → $34.00
Loyalty Reward: 10% off → $30.60
Total Savings: $19.40 (38.80% effective discount)
Quick Reference
Sequential vs Additive
Shopping Tips
Order matters! Apply percentage discounts before fixed dollar amounts
Check if discounts can be stacked - not all stores allow this
Compare final prices, not just discount percentages
Multiple small discounts can add up to significant savings
Account for taxes and shipping in your total cost
Understanding Triple Discounts
How Sequential Discounts Work
Triple discounts are applied sequentially, not additively. Each discount is calculated from the price after the previous discount was applied, not from the original price. This is why three 10% discounts don't equal 30% off.
The Mathematical Formula
Final Price = Original Price × (1 - r₁) × (1 - r₂) × (1 - r₃)
Where r₁, r₂, r₃ are the decimal forms of each discount percentage
Why Use This Calculator?
- •Accurately calculate the true final price after multiple discounts
- •Understand the actual savings from stacked promotions
- •Compare different discount scenarios effectively
- •Avoid overestimating savings from multiple discounts
Common Scenarios
Retail Sales
Store-wide sale + clearance markdown + loyalty discount. Each applies to the previous discounted price.
Online Shopping
Promo code + member discount + credit card cashback. Order of application can affect final savings.
Restaurant Deals
Happy hour discount + app coupon + loyalty reward. Multiple discounts can significantly reduce your bill.
Service Discounts
Early bird pricing + group discount + referral bonus. Professional services often stack discounts.
Mathematical Proof: Why Discounts Don't Add
Example: Three 15% Discounts
Starting price: $100.00
After 1st discount (15%): $100.00 × 0.85 = $85.00
After 2nd discount (15%): $85.00 × 0.85 = $72.25
After 3rd discount (15%): $72.25 × 0.85 = $61.41
Total discount: $100.00 - $61.41 = $38.59 (38.59%)
NOT 45% as might be expected!
General Formula Derivation
Starting with price P and discounts r₁, r₂, r₃:
After discount 1: P × (1 - r₁)
After discount 2: P × (1 - r₁) × (1 - r₂)
After discount 3: P × (1 - r₁) × (1 - r₂) × (1 - r₃)
Final Price = P × (1 - r₁) × (1 - r₂) × (1 - r₃)
This explains why sequential discounts are less than additive discounts.
Frequently Asked Questions
What's the effective discount for three 10% discounts?
Three 10% discounts result in an effective discount of 27.10%, not 30%. The final price is 72.90% of the original price because each discount applies to the already-reduced amount.
Can I get more than 100% discount with enough stacked discounts?
No, mathematically impossible. Each discount is a percentage of the remaining amount, so the price approaches zero but never becomes negative, regardless of how many discounts you stack.
Does the order of discounts matter?
For percentage discounts, the order doesn't matter mathematically. However, in practice, apply percentage discounts before fixed dollar amounts, and check store policies for discount stacking rules.
How do stores typically apply multiple discounts?
Most retailers apply discounts sequentially: store sale first, then promotional codes, then loyalty discounts. Some stores may limit discount stacking or apply restrictions on certain combinations.
When is triple discount most beneficial?
Triple discounts are most beneficial when each individual discount is substantial (15%+). Small discounts (5-10%) don't compound as dramatically, but can still provide meaningful savings on expensive items.
How does this compare to a single large discount?
Three 15% discounts (38.59% effective) is less than a single 40% discount. However, it's often easier for stores to offer multiple smaller discounts through various promotions than one large discount.