1. What is Double Discount?

Double discount refers to applying two successive discounts to an original price. This is common in retail when stores offer multiple promotions or when combining different types of discounts (e.g., seasonal sale plus loyalty discount).

2. How Does the Calculator Work?

The calculator uses the double discount formula:

Where:

• \( original \) — Original price before discounts
• \( d1 \) — First discount (as decimal, e.g., 0.2 for 20%)
• \( d2 \) — Second discount (as decimal)
• \( final \) — Final price after both discounts

Explanation: The discounts are applied sequentially, with each discount being calculated from the already discounted price.

3. Importance of Double Discount Calculation

Details: Understanding double discounts helps consumers evaluate the true value of multiple promotions and helps businesses properly structure their pricing strategies.

4. Using the Calculator

Tips: Enter the original price in dollars, then enter each discount as a decimal between 0 and 1 (e.g., 0.25 for 25% off). All values must be valid (price > 0, discounts between 0-1).

5. Frequently Asked Questions (FAQ)

Q1: Is a double discount the same as adding the percentages?
A: No, applying two 20% discounts is not the same as one 40% discount. Two 20% discounts result in a 36% total discount.

Q2: What's the equivalent single discount for two discounts?
A: The equivalent single discount = 1 - (1 - d1) × (1 - d2). For two 20% discounts: 1 - (0.8 × 0.8) = 0.36 or 36%.

Q3: Does order of discounts matter?
A: Mathematically no, but practically yes if discounts have different conditions (e.g., one discount might apply only to full-price items).

Q4: How do I convert percentage to decimal?
A: Divide by 100. For 25% discount, use 0.25 in the calculator.

Q5: What if I have more than two discounts?
A: The formula extends: final = original × (1 - d1) × (1 - d2) × (1 - d3)...