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Double Discount Calculator

Calculate two successive stacked discounts and find your true effective savings rate.

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FINAL RESULT SUMMARYUSD
Final Payable Price
$80.00
Total Money Saved
$20.00
Effective Discount
20.0% OFF
Formula AppliedFinal Price = Original × ∏(1 - Discount%)
STEP 1Original Full Price
$100.00
STEP 2Discount #1 (20%)
−$20.00
$100.00 × 20% = $20.00 savings → Price drops to $80.00
NET PAYABLEFinal Price You Pay
$80.00
Total Saved: $20.00

❓ Is 20% off plus 10% off equal to 30% off?

No! Retailers apply stacked discounts sequentially. A 20% discount is calculated first, followed by a 10% discount on the remaining balance. This gives an effective discount rate of 28%.

Example Math Step: Original Price: $100.00 -> 20% off = $80.00 -> 10% off $80.00 = $72.00 Final Price (Save $28.00 = 28% Effective).

The Mathematical Formula for Double Stacked Discounts

To calculate the final price after two successive percentage discounts ($d_1$ and $d_2$), use the multiplicative formula:

Final Price Formula:
Final Price = Original Price × (1 − d1/100) × (1 − d2/100)
Effective Discount Formula:
Effective Discount % = 100 × [ 1 − (1 − d1/100) × (1 − d2/100) ]
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❓ Frequently Asked Questions

What is a double discount? ▼
A double discount occurs when two percentage reductions are applied sequentially to a single item price, such as a 20% store sale stacked with a 10% coupon code.
How do I calculate two discounts in a row? ▼
Apply the first discount to the original price to get an intermediate price, then apply the second discount to that intermediate price. Alternatively, use our Multiple Discount Calculator.
Is 20% off plus 10% off equal to 30% off? ▼
No. The second discount is taken off the already reduced price, not the original list price. On a $100 item, 20% off leaves $80, and 10% off $80 saves $8, resulting in a $72 final price (28% total savings).
What is the effective discount of 20% plus 10%? ▼
The true effective discount rate for 20% off followed by 10% off is 28%.
How does successive discounting work? ▼
Successive discounting calculates each percentage drop sequentially on the remaining balance rather than adding percentages together.
What is the formula for two successive discounts? ▼
The double discount formula is: Final Price = Original Price × (1 − d1) × (1 − d2), where d1 and d2 are decimal discount rates. Effective Discount % = 100 × [ 1 − (1 − d1)(1 − d2) ].
What is 30% off followed by 20% off? ▼
On a $100 item: 30% off reduces it to $70, and 20% off $70 reduces it by $14 to $56. The effective discount is 44%.
What is 50% off followed by 20% off? ▼
On a $100 item: 50% off reduces it to $50, and 20% off $50 reduces it by $10 to $40. The effective discount is 60%.