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This guide provides useful resources for a wide variety of math topics. It is targeted at students enrolled in a math course or any other Centennial course that requires math knowledge and skills.

- Welcome
- Learning Math Strategies (Online)Toggle Dropdown
- Study Skills for MathToggle Dropdown
- Business Math
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Basic Laws
- Operations on Signed numbers
- Order of Operations
- Some Useful Basic Numeracy
- Decimals
- Fractions
- Percents
- Ratios and Proportions
- Exponents
- Statistics
- Trade and Cash Discounts
- Multiple Rates of Discount
- Payment Terms and Cash Discounts
- Markup
- Markdown
- Simple Interest
- Equivalent Values
- Compound Interest
- Equivalent Values in Compound Interest
- Nominal and Effective Interest Rates
- Annuities

- Hospitality MathToggle Dropdown
- Engineering MathToggle Dropdown
- Basic Laws
- Operations with Numbers
- Prime Factorisation and Least Common Multiple
- Fractions
- Exponents
- Reducing Radicals
- Factoring
- Rearranging Formulas
- Solving Linear Equations
- Areas and Volumes of Figures
- Congruence and Similarity
- Functions
- Domain and Range of Functions
- Basics of Graphing
- Transformations
- Graphing Linear Functions
- Graphing Quadratic Functions
- Solving Systems of Linear Equations
- Solving Quadratic Equations
- Solving Higher Degree Equations
- Trigonometry
- Graphing Trigonometric Functions
- Graphing Circles and Ellipses
- Exponential and Logarithmic Functions
- Complex Numbers
- Number Bases in Computer Arithmetic
- Linear Algebra
- Calculus
- Set Theory
- Modular Numbers and Cryptography
- Statistics
- Problem Solving Strategies

- Upgrading / Pre-HealthToggle Dropdown
- Basic Laws
- Place Value in Decimal Number Systems
- Decimals
- Significant Digits
- Prime Factorisation and Least Common Multiple
- Fractions
- Percents
- Ratios and Proportions
- Exponents
- Metric Conversions
- Reducing Radicals
- Factoring
- Solving Linear Equations
- Solving Quadratic Equations
- Polynomial Long Division
- Exponential and Logarithmic Functions
- Statistics

- Nursing MathToggle Dropdown
- Transportation MathToggle Dropdown
- PhysicsToggle Dropdown

After the price to the retailer has been marked up to determine the regular selling price, the retailer may discount the regular selling price to offer the goods to the consumer at a lower sale price. The reduction from the regular selling price is called a **markdown**. The purpose of a markdown may be for promoting sales, to match competitors' prices, or to clear out inventories that are discontinued or seasonal.

The price to be reduced is known as the **regular selling price**,** S**, or list price (price before discount/markdown). The reduced price can be referred to as the **sale price** or **clearance price**, \(S_R \).

Using this relation, a Markdown can be calculated as the difference between regular selling price and the sale price.

SALE PRICE = REGULAR SELLING PRICE - MARKDOWN

\[S_R = S - MD \]

The **rate of markdown, d,** or markdown rate is the relationship between the amount of the markdown and the regular selling price, and is stated as a percent of the regular selling price.

RATE of MARKDOWN = MARKDOWN/REGULAR SELLING PRICE

\[d = \frac{MD}{S} \times 100 \]

Since the rate of markdown is a percentage of markdown and regular selling price. The sale price can be expressed as a percentage of the regular selling price as well.

SALE PRICE = REGULAR SELLING PRICE (1 - rate of markdown)

\[S_R = S(1-d) \]

An equipment company paid $332.79 for a tent. Overhead is 23% of the regular selling price and profit is 17% of the regular selling price. During the clearance sale, the tent was sold at a markdown of 30%. What was the operating profit or loss on the sale?

See the video below for the solution

Designed by Matthew Cheung. This work is licensed under a Creative Commons Attribution 4.0 International License.

- Last Updated: Aug 19, 2022 3:18 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
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