How to Calculate the Original Price After a Discount

TL;DR

To calculate the original price after a discount, use the formula: original price = new price / (1 - r), where r is the discount rate in decimal form. For example, if a laptop costs $320 after a 20% discount, the original price is $400. This method applies to any item discounted by a percentage.

Transcript

in this video we're going to talk about how to calculate the original price of an item after a discount is received now this discount is typically given in the form of a percentage so let's work on this problem john paid three hundred and twenty dollars for a laptop after receiving a twenty percent discount what was the original price of the item a... Read More

Key Insights

• ☠️ The formula to calculate the original price after a discount is new price = (1 - r) * original price, where r is the discount rate.
• 🤘 A negative sign is used for discounts, while a positive sign is used for an increase in price.
• 🗨️ To convert a percentage into a decimal, divide it by 100 or move the decimal two units to the left.
• ✅ Checking the answer can be done by calculating the discount value and subtracting it from the original price.
• 🈹 The formula can be used to solve various discount-related problems.
• 👶 The original price can be calculated by dividing the new price by (1 - r).
• 🈹 In the provided examples, the original price of a laptop was $400 after a 20% discount, and the original price of a car was $15,000 after a 17% discount.

Summary & Key Takeaways

• The video explains how to calculate the original price of an item after receiving a discount using a formula.

• The formula is: new price = (1 - r) * original price, where r is the discount rate as a decimal.

• The video provides two examples to demonstrate the calculation process.