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Calculate Original Price From Discounted

Original Price Formula:

\[ Original = \frac{Discounted}{1 - Discount\ Rate} \]

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1. What Is The Original Price Calculation?

The original price calculation determines the pre-discount price of an item when you know the discounted price and the discount rate applied. This is useful for reverse-engineering pricing strategies and understanding the true value of discounted items.

2. How Does The Calculator Work?

The calculator uses the original price formula:

\[ Original = \frac{Discounted}{1 - Discount\ Rate} \]

Where:

Explanation: This formula reverses the discount calculation to find the original price before the discount was applied.

3. Importance Of Original Price Calculation

Details: Understanding the original price helps consumers evaluate the true value of discounts, assists retailers in pricing strategy analysis, and is essential for financial planning and budgeting.

4. Using The Calculator

Tips: Enter the discounted price in currency units and the discount rate as a decimal value (e.g., 0.15 for 15% discount). Both values must be positive, and the discount rate must be less than 1.

5. Frequently Asked Questions (FAQ)

Q1: Why calculate original price from discounted?
A: This calculation helps determine the true pre-discount value of an item, allowing for better price comparisons and understanding of discount depth.

Q2: What's the difference between discount rate and discount amount?
A: Discount rate is a percentage (e.g., 20%), while discount amount is the actual monetary value subtracted from the original price.

Q3: Can this formula handle multiple discounts?
A: This formula calculates the original price after a single discount. For multiple successive discounts, a different approach is needed.

Q4: What if the discount rate is 0% or 100%?
A: At 0% discount, original price equals discounted price. At 100% discount, the formula becomes undefined as it would require division by zero.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs, assuming the discount was applied correctly to the original price.

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