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How do I calculate a triple discount?What is the triple discount formula?FAQsThis 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
1and 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 — First discount;
- r2 —Second discount; and
- r3 —Third discount.
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
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