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:

1. Determine the percentage of the original price that the sale price represents $100$.
2. 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.

Discounts and Markups

This page introduces the concepts of discounts and markups in pricing calculations. It provides formulas and examples for calculating sale prices with discounts and retail prices with markups.

Definition: A discount is the amount subtracted from an item's original price.

To calculate the sale price with a discount:

1. Calculate the discount amount by multiplying the original price by the discount percentage.
2. Subtract the discount amount from the original price.

Example: For an item with an original price of $60 and a 25% discount:

• Discount amount: $60 × 25% = $15
• Sale price: $60 - $15 = $45

Definition: A markup is the amount added to an item's wholesale price to determine the retail price.

To calculate the retail price with a markup:

1. Calculate the markup amount by multiplying the wholesale price by the markup percentage.
2. Add the markup amount to the wholesale price.

Example: For an item with a wholesale price of $10 and a 150% markup:

• Markup amount: $10 × 150% = $15
• Retail price: $10 + $15 = $25

The page also includes additional examples of discount and markup calculations, demonstrating how to apply these concepts to various pricing scenarios.

Highlight: Understanding these basic calculations is crucial for how to calculate sale price with discount online and how to calculate selling price using markup percentage.