Learn on PengiOpenstax Prealgebre 2EChapter 6: Percents

Lesson 3: Solve Sales Tax, Commission, and Discount Applications

In this lesson from OpenStax Prealgebra 2E, Chapter 6, students learn to solve real-world percent applications including sales tax, commission, discount, and mark-up problems. Using a step-by-step algebraic strategy, students practice translating word problems into percent equations of the form Sales Tax = Tax Rate × Purchase Price and solving for unknowns such as total cost or commission earned. This lesson builds practical math skills applicable to everyday financial situations.

Section 1

📘 Solve Sales Tax, Commission, and Discount Applications

New Concept

Master real-world financial math! This lesson teaches you to calculate sales tax, commissions, discounts, and mark-ups by applying one strategy: translating word problems into simple percent equations and solving for the unknown.

What’s next

You've got the big picture. Now, apply this concept by working through interactive examples and then tackling a series of challenge problems on your own.

Section 2

Sales Tax

Property

The sales tax is a percent of the purchase price.

Sales Tax=Tax RatePurchase Price\text{Sales Tax} = \text{Tax Rate} \cdot \text{Purchase Price}
Total Cost=Purchase Price+Sales Tax\text{Total Cost} = \text{Purchase Price} + \text{Sales Tax}

Section 3

Commission

Property

A commission is a percentage of total sales as determined by the rate of commission.

commission=rate of commissiontotal sales\text{commission} = \text{rate of commission} \cdot \text{total sales}

Examples

  • A real estate agent sells a house for 350,000 dollars and earns a 3% commission. Her commission is 0.03350000=105000.03 \cdot 350000 = 10500 dollars.

Section 4

Discount

Property

An amount of discount is a percent off the original price.

amount of discount=discount rateoriginal price\text{amount of discount} = \text{discount rate} \cdot \text{original price}
sale price=original priceamount of discount\text{sale price} = \text{original price} - \text{amount of discount}

Section 5

Mark-up

Property

The mark-up is the amount added to the wholesale price.

amount of mark-up=mark-up ratewholesale price\text{amount of mark-up} = \text{mark-up rate} \cdot \text{wholesale price}
list price=wholesale price+mark-up\text{list price} = \text{wholesale price} + \text{mark-up}

Book overview

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Chapter 6: Percents

  1. Lesson 1

    Lesson 1: Understand Percent

  2. Lesson 2

    Lesson 2: Solve General Applications of Percent

  3. Lesson 3Current

    Lesson 3: Solve Sales Tax, Commission, and Discount Applications

  4. Lesson 4

    Lesson 4: Solve Simple Interest Applications

  5. Lesson 5

    Lesson 5: Solve Proportions and their Applications

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

📘 Solve Sales Tax, Commission, and Discount Applications

New Concept

Master real-world financial math! This lesson teaches you to calculate sales tax, commissions, discounts, and mark-ups by applying one strategy: translating word problems into simple percent equations and solving for the unknown.

What’s next

You've got the big picture. Now, apply this concept by working through interactive examples and then tackling a series of challenge problems on your own.

Section 2

Sales Tax

Property

The sales tax is a percent of the purchase price.

Sales Tax=Tax RatePurchase Price\text{Sales Tax} = \text{Tax Rate} \cdot \text{Purchase Price}
Total Cost=Purchase Price+Sales Tax\text{Total Cost} = \text{Purchase Price} + \text{Sales Tax}

Section 3

Commission

Property

A commission is a percentage of total sales as determined by the rate of commission.

commission=rate of commissiontotal sales\text{commission} = \text{rate of commission} \cdot \text{total sales}

Examples

  • A real estate agent sells a house for 350,000 dollars and earns a 3% commission. Her commission is 0.03350000=105000.03 \cdot 350000 = 10500 dollars.

Section 4

Discount

Property

An amount of discount is a percent off the original price.

amount of discount=discount rateoriginal price\text{amount of discount} = \text{discount rate} \cdot \text{original price}
sale price=original priceamount of discount\text{sale price} = \text{original price} - \text{amount of discount}

Section 5

Mark-up

Property

The mark-up is the amount added to the wholesale price.

amount of mark-up=mark-up ratewholesale price\text{amount of mark-up} = \text{mark-up rate} \cdot \text{wholesale price}
list price=wholesale price+mark-up\text{list price} = \text{wholesale price} + \text{mark-up}

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 6: Percents

  1. Lesson 1

    Lesson 1: Understand Percent

  2. Lesson 2

    Lesson 2: Solve General Applications of Percent

  3. Lesson 3Current

    Lesson 3: Solve Sales Tax, Commission, and Discount Applications

  4. Lesson 4

    Lesson 4: Solve Simple Interest Applications

  5. Lesson 5

    Lesson 5: Solve Proportions and their Applications