1. What is the Original Price Formula?

The Original Price Formula calculates the original price of an item before a discount was applied, based on the sale price and discount percentage. This is useful for comparing prices or understanding the true value of a discount.

2. How Does the Calculator Work?

The calculator uses the following equation:

Where:

• \( Sale \) — The discounted price (USD)
• \( \% \) — The discount percentage applied

Explanation: The formula reverses the discount calculation by dividing the sale price by (1 - discount percentage as decimal).

3. Importance of Original Price Calculation

Details: Knowing the original price helps consumers understand the true value of discounts, compare prices effectively, and make informed purchasing decisions.

4. Using the Calculator

Tips: Enter the sale price in USD and the discount percentage (0-99). Both values must be positive numbers, with discount less than 100%.

5. Frequently Asked Questions (FAQ)

Q1: Why can't the discount be 100% or more?
A: A 100% discount would make the sale price zero, making the original price calculation impossible (division by zero). Discounts over 100% would imply negative prices, which don't make practical sense.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs. However, real-world prices might be rounded to specific increments (like .99 endings).

Q3: Does this work for multiple discounts?
A: No, this calculates the original price before a single discount. For multiple discounts, you'd need to know the sequence of discounts applied.

Q4: Can I use this for price increases instead of discounts?
A: Yes, by entering a negative "discount" percentage, though this is less common in retail scenarios.

Q5: What if I know the original price and want to calculate the sale price?
A: That would be a different calculation: Sale Price = Original × (1 - Discount/100).