1. What is a Double Discount Calculator?

Definition: This calculator determines the final price after applying two successive discounts to an original price.

Purpose: It helps shoppers and businesses calculate the true final price when multiple discounts are applied sequentially.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P_{final} \) — Final price after discounts (USD)
• \( P \) — Original price (USD)
• \( d_1 \) — First discount rate (percentage)
• \( d_2 \) — Second discount rate (percentage)

Explanation: The discounts are applied sequentially, not added together. Each discount is applied to the already discounted price.

3. Importance of Double Discount Calculation

Details: Understanding sequential discounts helps consumers make informed purchasing decisions and businesses set proper pricing strategies.

4. Using the Calculator

Tips: Enter the original price in USD, first discount percentage, and second discount percentage. All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: Why not just add the two discounts?
A: Adding discounts would give an incorrect result. Each discount is applied to the new reduced price, not the original.

Q2: What's the difference between this and a single combined discount?
A: A double discount typically results in a slightly better deal than a single discount of the same total percentage.

Q3: Can I use this for more than two discounts?
A: The same principle applies - just multiply by (1 - d₃), (1 - d₄), etc., for each additional discount.

Q4: How do discounts apply to tax?
A: This calculator shows pre-tax price. Taxes are typically applied to the final discounted price.

Q5: Does order of discounts matter?
A: Mathematically, the order doesn't affect the final price (a 20% then 10% discount equals 10% then 20%).