Triple Discount Calculator

Apply three successive discounts to any price and see the final price, total savings, and combined discount percentage. Add optional sales tax to get the complete total.

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Three Successive Discounts

Apply three discounts one after the other and see the true combined discount. Learn why adding percentages gives the wrong answer.

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Step-by-Step Breakdown

See exactly how each discount is applied with a detailed breakdown showing prices at every step, plus optional sales tax.

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Frequently Asked Questions

How do you calculate a triple discount?
To calculate a triple discount, apply each discount sequentially to the reduced price. Start with the original price, apply the first discount to get a new price, then apply the second discount to that reduced price, and finally apply the third discount. For example, with a $100 item at 20% off, then 10% off, then 5% off: $100 x 0.80 = $80, then $80 x 0.90 = $72, then $72 x 0.95 = $68.40. The combined discount is 31.6%.
Why is 20% + 10% + 5% not the same as 35% off?
When discounts are applied successively, each discount is calculated on the already-reduced price, not the original. With a $100 item, 35% off gives you $65. But 20% then 10% then 5% gives you $68.40, because each subsequent discount applies to a smaller number. The difference of $3.40 is the "stacking penalty" shown in this calculator.
Does the order of three discounts matter?
No, the order of percentage discounts does not change the final price. Applying 20% first, then 10%, then 5% gives the same result as any other ordering. This is because multiplication is commutative: 0.80 x 0.90 x 0.95 = 0.95 x 0.90 x 0.80 = 0.684. You pay 68.4% of the original price regardless of the order.
What is the combined discount formula for three discounts?
The combined discount formula for three successive discounts (d1, d2, d3) is: Combined = 1 - (1 - d1/100) x (1 - d2/100) x (1 - d3/100). For 20%, 10%, and 5%: 1 - (0.80 x 0.90 x 0.95) = 1 - 0.684 = 0.316, or 31.6%. This formula always gives a result less than the simple sum of the three discounts.
When would I use a triple discount calculator?
A triple discount calculator is useful when stores offer multiple stacked promotions. For example: a seasonal sale (30% off) plus a store coupon (15% off) plus a loyalty member discount (10% off). It also helps during events like Black Friday or Cyber Monday where multiple offers combine, and for comparing whether stacked discounts are better than a single larger discount.