Triple Discount Calculator

Created by Mateusz Mucha and Wei Bin Loo
Reviewed by Jack Bowater
Last updated: Jan 19, 2023

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:

  1. Write down the three discounts as decimals. For example, 10% = 0.1.
  2. Calculate the difference between 1 and each of the discounts.
  3. Multiply together the three numbers from Step 2.
  4. Multiply the result by the initial price.
  5. 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.

Mateusz Mucha and Wei Bin Loo
Original price
$
1st discount
%
2nd discount
%
3rd discount
%
Final price
$
Difference
$
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