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Discount Sale Price Calculator

Discount Formula:

\[ \text{Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage}) \]

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1. What is the Discount Formula?

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

2. How Does the Calculator Work?

The calculator uses the discount formula:

\[ \text{Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage}) \]

Where:

Explanation: The formula converts the percentage discount to a decimal (by dividing by 100), subtracts this from 1 to get the multiplier, then applies it to the original price.

3. Importance of Discount Calculation

Details: Accurate discount calculations are essential for pricing strategies, customer promotions, budgeting, and financial planning in both business and personal finance.

4. Using the Calculator

Tips: Enter the original price in dollars and the discount percentage (0-100). Both values must be positive numbers, with discount percentage between 0 and 100.

5. Frequently Asked Questions (FAQ)

Q1: How do I calculate a 20% discount?
A: Multiply the original price by 0.80 (1 - 0.20). For $100 item: $100 × 0.80 = $80 sale price.

Q2: What if the discount is more than 100%?
A: Discounts over 100% would result in negative prices, which isn't practical. The calculator limits discounts to 0-100%.

Q3: How do I calculate the original price from sale price?
A: Original Price = Sale Price / (1 - Discount Percentage). For $80 sale at 20% off: $80 / 0.80 = $100.

Q4: Does this work for multiple discounts?
A: For sequential discounts, apply each one successively. A 10% then 20% discount isn't the same as a single 30% discount.

Q5: How are taxes applied to discounted prices?
A: Sales tax is typically applied to the final sale price after all discounts are applied.

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