# 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 − r _{1}) × (1 − r_{2}) × (1 − r_{3})**

where:

**r**— First discount;_{1}**r**— Second discount; and_{2}**r**— Third discount._{3}

### 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`