Triple Discount Calculator — 3 Successive Discounts
Enter a starting price and three percentage discounts. The calculator applies each discount in turn and shows the price after each step, total savings, and the single equivalent discount that gives the same final price.
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Price after all three discounts are applied successively
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After 1st discount
200 × (1 − 20% ÷ 100) = 160 - 2
After 2nd discount
160 × (1 − 10% ÷ 100) = 144 - 3
Final price (after 3rd discount)
144 × (1 − 5% ÷ 100) = 136.80Each discount is taken from the already-reduced price, not from the original.
How does this calculator work?
Apply discounts in sequence: Final = P × (1−d₁%) × (1−d₂%) × (1−d₃%). Three 20% discounts give an effective 48.8% off, not 60%. The equivalent single discount = 1 − (retain rate₁ × rate₂ × rate₃). Order of discounts does not change the final price.
Formula
How this is calculated
When several percentage discounts are applied one after another, each discount is taken off the price that remains after the previous one — not off the original price. This means three 20% discounts do not equal 60% off: instead the price shrinks to 80% × 80% × 80% = 51.2% of the original, a 48.8% effective discount.
The formula chains the "retain rates" (1 − discount/100): Final = P × (1 − d₁/100) × (1 − d₂/100) × (1 − d₃/100). The effective single-discount equivalent is simply 1 minus the product of the three retain rates, expressed as a percentage. This is useful when comparing a stacked promotion (e.g. "20% off, then extra 10% off, then additional 5% off") with a single advertised rate.
Order does not matter for the final price — multiplying the same three retain rates in any sequence gives the same result. However, the intermediate prices after each step do depend on order, which is why promotions sometimes feel larger when the bigger discount is listed first.
Frequently asked questions
Because each discount is applied to the already-reduced price. After the first 10% off you pay 90%; the second 10% is taken from that 90%, giving 81% of the original; the third takes another 10% from 81%, leaving 72.9%. The effective discount is 27.1%, not 30%. The gap grows with larger individual discounts.
No — the final price is the same regardless of the order you apply the discounts, because multiplication is commutative. What changes is the intermediate price after each individual discount, which is why some retailers list the largest discount first to make the deal look most impressive at each step.
Effective discount (%) = [1 − (1 − d₁/100)(1 − d₂/100)(1 − d₃/100)] × 100. It represents the single flat discount that produces the same final price as the three successive discounts combined. Use it to compare stacked promotional offers fairly.
Also known as
TG we-Calculate Editorial Team. (2026). Triple Discount Calculator — 3 Successive Discounts [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/triple-discount-calculator
TG we-Calculate Editorial Team. "Triple Discount Calculator — 3 Successive Discounts." TG we-Calculate. 2026. https://we-calculate.com/calculator/triple-discount-calculator.
TG we-Calculate Editorial Team, "Triple Discount Calculator — 3 Successive Discounts," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/triple-discount-calculator
@misc{wecalculate_triple_discount_calculator, title = {Triple Discount Calculator — 3 Successive Discounts}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/triple-discount-calculator}}, year = {2026}, note = {TG we-Calculate} }
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