Finding the Original Price
This page focuses on reverse calculations, teaching how to find the original price of an item when given the sale price and discount percentage. It also covers scenarios involving taxes.
To find the original price from a discounted price:
- Determine the percentage of the original price that the sale price represents (100% - discount percentage).
- Divide the sale price by this percentage.
Example: For a sale price of $66 with a 30% discount:
- Sale price represents 70% of the original price (100% - 30%)
- Original price: $66 ÷ 70% = $94.29
The page provides several examples of finding original price after discount calculations, including:
- Original price of $40 with a 45% discount resulting in a $22 sale price
- Finding the original price when given a $70 sale price and 30% discount
- Calculating the original price from a $163.20 sale price and 38% discount
Highlight: These examples demonstrate the practical application of the original price formula and how to use a reverse markup calculator.
The page also touches on tax calculations:
Example: For an item with an original price of $48, a 20% discount, and 9% tax:
- Discounted price: $48 × (1 - 20%) = $38.40
- Tax amount: $38.40 × 9% = $3.46
- Total price: $38.40 + $3.46 = $41.86
This comprehensive guide provides students with the tools to perform various pricing calculations, from basic discounts and markups to more complex scenarios involving finding original prices and accounting for taxes.
