pre-algebra review

Discounted Price

Written by the Fiveable Content Team • Last updated August 2025
Written by the Fiveable Content Team • Last updated August 2025

Definition

The discounted price refers to the reduced cost of an item or service, typically achieved through the application of a discount. It represents the final price that a customer pays after a certain percentage or amount has been subtracted from the original or full price.

5 Must Know Facts For Your Next Test

  1. The discounted price is calculated by subtracting the discount amount from the original price.
  2. Discounts can be applied to various types of transactions, including retail sales, wholesale purchases, and service-based offerings.
  3. Discounts are often used as a marketing strategy to attract customers, clear inventory, or reward loyal buyers.
  4. The discounted price can be expressed as a percentage of the original price, such as 20% off or a fixed monetary amount, like $10 off.
  5. Calculating the discounted price is a crucial step in solving sales tax, commission, and discount applications.

Review Questions

  • How is the discounted price calculated, and what factors influence the final discounted price?
    • The discounted price is calculated by subtracting the discount amount from the original price. The discount can be expressed as a percentage or a fixed monetary value. The final discounted price depends on the original price and the size of the discount, with larger discounts resulting in a lower discounted price. For example, if the original price is $100 and the discount is 20%, the discounted price would be $80 (original price - 20% discount).
  • Explain the relationship between the discounted price and the concepts of sales tax, commission, and discount applications.
    • The discounted price is a crucial factor in solving sales tax, commission, and discount applications. When calculating sales tax, the discounted price is the base upon which the tax is applied. For commission-based transactions, the discounted price determines the commission amount earned by the salesperson. In discount applications, the discounted price represents the final cost to the customer after the discount has been applied, which is necessary to understand the overall financial impact of the transaction.
  • Analyze how discounts and discounted prices can be used as a marketing strategy to attract customers and influence purchasing decisions.
    • Businesses often use discounts and discounted prices as a marketing strategy to attract customers and influence their purchasing decisions. By offering a lower discounted price, businesses can make their products or services more appealing and competitive, potentially increasing sales and customer loyalty. Discounts can also be used to clear inventory, reward loyal customers, or promote new products. The strategic use of discounted prices can significantly impact the overall success and profitability of a business, making it an important concept to understand in the context of sales tax, commission, and discount applications.
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