Triple Discount Calculator
This calculator lets you set a cumulative discount. Each discount is calculated from the price AFTER the previous one was applied (and not from the original price). For example, if the original price was $100 and you have 20%, 10% and 15% discounts. First, we're doing $100 - 20% = $80. Then $80 - 10% = $72. Then $72 - 15% = 61.20. You can use our percentage calculator to speed up this calculation.
🙋 You may also want to check out the discount calculator and the double discount calculator.
How do I calculate a triple discount?
To determine the price after a triple discount, you need to:
- Write down the three discounts as decimals. For example,
10% = 0.1
. - Calculate the difference between
1
and each of the discounts. - Multiply together the three numbers from Step 2.
- Multiply the result by the initial price.
- You've obtained the price after three discounts.
What is the triple discount formula?
The formula for the triple discount is the following:
new price = initial price × (1 - r1) × (1 - r2) × (1 - r3),
where:
- r1 is the first discount;
- r2 is the second discount; and
- r3 is the third discount.
FAQ
What is the total discount after three discounts of 15%?
The total discount is almost 39%. Indeed, observe that (1- 0.15) × (1 - 0.15) × (1 - 0.15) = 0.85 × 0.85 × 0.85 = 0.6141
. This means that the new price is 61.41% of the initial price. In other words, the total discount is 100% - 61.41% = 38.59%
.
What do three discounts of 10% do to the price of $100?
The new price is $72.90. Hence you save a bit more than $27. To arrive at this result, compute the price after the first discount as $100 - 0.1 × 100 = $100 - $10 = $90
. Then after the second discount: $90 - 0.1 × 90 = $90 - $9 = $81
. Finally, after the third discount: $81 - 0.1 × 81 = $81 - $8.1 = $72.9
.