Business: Discount Pricing A car dealer, at a year-end...

Business: Discount Pricing A car dealer, at a year-end clearance, reduces the list price of last year's models by $15 \%$. If a certain four-door model has a discounted price of 18,000 dollar, what was its list price? How much can be saved by purchasing last year's model?

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Key Concepts

Algebraic Modeling in Business

Algebraic modeling in business involves using variables and equations to represent and solve for quantities like prices and discounts. This approach provides a systematic way to analyze pricing strategies, allowing decision-makers to calculate outcomes such as list prices from discounted values or the total savings from a given reduction.

Savings Calculation

Savings calculation is the method of finding the difference between the original price and the discounted price. This concept is crucial in evaluating the effectiveness of a discount, as it quantifies the monetary benefit that the customer gains by purchasing the product at a reduced price.

Reverse Percentage Calculation

Reverse percentage calculation is the process of determining an original amount when a known percentage of it is given. In business problems, this technique is essential for finding the list price before the discount was applied, by setting up an equation that relates the discounted price to the original price.

Discount Pricing

Discount pricing involves reducing the original or list price of a product by a given percentage to determine a lower selling price. This strategy is widely used in business to clear inventory or stimulate sales by offering customers a perceived value on purchases.

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