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 ;-).
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What is the double discount formula?
The double discount formula reads:
new price = initial price × (1 - r) × (1 - q),
where:
ris the first discount; andqis 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
1and the first discount. - Compute the difference between
1and 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.
FAQs
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.