# Triple Discount Calculator

Created by Mateusz Mucha and Wei Bin Loo
Reviewed by Jack Bowater
Last updated: Nov 03, 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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