# Double Discount Calculator

The double discount calculator helps you in a scenario where two levels of discounts are applied to the price of a product or service. Please keep in mind that the second discount is applied to the price AFTER the first discount has been applied. For example, if the original price was `$50`

and we have two discounts: `20%`

and `10%`

, then we're doing something like this: `$50 - 20% × $50 = $50 - $10 = $40`

. Then `$40 - 10% × $40 = $40 - $4 = $36`

. Also, you may want to check out the regular discount calculator and the triple discount calculator for those super happy occasions ;-).

No matter how enticing a discount offer is, please keep in mind that you must set aside some portion of your income as savings before expenses. Set a long term goal for your savings with our savings goal calculator and see how much you need to set aside each month.

## What is the double discount formula?

The double discount formula reads:

`new price = initial price × (1 - r) × (1 - q)`

,

where:

`r`

is the first discount; and`q`

is the second discount.

## How do I calculate the double discount?

To quickly determine the price when two discounts were applied, one on the other, you need to:

**Convert**both discounts from percentages to decimals. For example,`10% = 0.1`

.- Compute the difference between
`1`

and the**first discount**. - Compute the difference between
`1`

and the**second discount**. **Multiply**together the numbers from steps 2 and 3.- Multiply the
**initial price**by the number from Step 4. - The value you've obtained is the
**new price**. - In case of problems, use an online double discount calculator.

### What is the total discount after two 10% discounts?

The total discount is **19%**. To arrive at this result, observe that `(1- 0.1) × (1 - 0.1) = 0.9 × 0.9 = 0.81`

. That is, the new price is 81% of the initial price. Hence, the total discount is `100% - 81% = 19%`

.

### What is the price after two 10% discounts if the price was $100?

The new price is **$81**. Indeed, the price after the first discount equals `$100 - 0.1 × 100 = $100 - $10 = $90`

. And after the second discount, we obtain `$90 - 0.1 × 90 = $90 - $9 = $81`

, as claimed.