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Price Percentage Discount Calculator

Discount Formula:

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

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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, e-commerce, and financial calculations.

2. How Does the Calculator Work?

The calculator uses the discount formula:

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

Where:

Explanation: The formula converts the percentage to a decimal (by dividing by 100), subtracts this from 1 to get the remaining fraction, then multiplies by the original price.

3. Importance of Discount Calculation

Details: Accurate discount calculation is essential for pricing strategies, sales promotions, budgeting, and financial planning. It helps both businesses and consumers understand the actual savings.

4. Using the Calculator

Tips: Enter the original price in USD 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 the savings amount?
A: Savings = Original Price × (Discount Percentage/100). The discounted price is Original Price - Savings.

Q2: What's the difference between percentage and fixed amount discounts?
A: Percentage discounts vary with price, while fixed amount discounts subtract a constant value regardless of price.

Q3: How do I apply multiple discounts?
A: Apply each discount sequentially to the new price, not the original. Discounts don't simply add together.

Q4: What if the discount is more than 100%?
A: The calculator limits to 100% which would make the price $0. Discounts >100% would result in negative prices, which isn't practical.

Q5: Does this work for price increases (negative discounts)?
A: Mathematically yes (enter negative percentage), but the calculator limits to 0-100% as that's the typical use case.

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