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Percent Discount Calculator

Discount Formula:

\[ \text{Discounted Price} = \text{Original Price} \times (1 - \frac{\text{Discount \%}}{100}) \]

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1. What is the Discount Formula?

The discount formula calculates the final price after applying a percentage reduction to the original price. It's commonly used in retail, sales, and financial calculations.

2. How Does the Calculator Work?

The calculator uses the discount formula:

\[ \text{Discounted Price} = \text{Original Price} \times (1 - \frac{\text{Discount \%}}{100}) \]

Where:

Explanation: The formula converts the percentage discount to a decimal multiplier (1 - discount/100) and applies it to the original price.

3. Importance of Discount Calculation

Details: Accurate discount calculation helps consumers understand actual savings and businesses determine profitable pricing strategies.

4. Using the Calculator

Tips: Enter the original price (must be positive) and discount percentage (between 0-100). The calculator will show the final price and amount saved.

5. Frequently Asked Questions (FAQ)

Q1: How do I calculate a 20% discount?
A: Multiply the original price by 0.80 (1 - 20/100 = 0.80).

Q2: What's the difference between discount amount and discount percentage?
A: Discount amount is a fixed dollar reduction, while percentage discount is relative to the original price.

Q3: Can discounts exceed 100%?
A: Normally no, as that would imply paying the customer to take the product. Maximum discount is 100% (free).

Q4: How do I calculate the original price if I know the discounted price?
A: Original Price = Discounted Price / (1 - Discount%/100)

Q5: Are multiple discounts cumulative?
A: Multiple percentage discounts are multiplicative, not additive (e.g., 20% then 10% off = 28% total discount, not 30%).

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