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
- Factoring
- Rearranging Formulas
- Solving Linear Equations
- Solving Systems of Linear Equations
- 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
- Place Value in Decimal Number Systems
- Arithmetic Operations
- Order of Operations
- Basic Laws
- Prime Factorisation and Least Common Multiple
- Fractions
- Decimals
- Percents
- Exponents
- Units of Measures
- Fluid Ounces and Ounces
- Metric Measures
- Yield Percent
- Recipe Size Conversion
- Ingredient Ratios
- Food-Service Industry Costs

- 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
- Reducing Radicals
- Metric Conversions
- Factoring
- Solving Linear Equations1
- Solving Quadratic Equations
- Polynomial Long Division
- Exponential and Logarithmic Functions
- Statistics

- Nursing MathToggle Dropdown
- Arithmetic Operations
- Order of Operations
- Place Value in Decimal Number Systems
- Decimals
- Fractions
- Percents
- Ratios and Proportions
- Interpreting Drug Orders
- Oral Dosages
- Dosage Based on Size of the Patient
- Parenteral Dosages
- Intravenous (IV) Administration
- Infusion Rates for Intravenous Piggyback (IVPB) Bag
- General Dosage Rounding Rules

- Transportation MathToggle Dropdown
- PhysicsToggle Dropdown

To generate a profit, businesses engage in buying and selling their merchandise. The amount of profit depends on many factors, one of which is the pricing of goods. The selling price covers

- The
**costs**of buying the goods (e.g., cost of materials to make merchandise, or cost to buy merchandise form supplier); - The
**operating expenses**or (**overhead**) of the business (e.g., wages); - The profit required by the owner to stay in business.

Therefore, we can create the formula:

Selling Price = Cost of Buying + Expenses + Profit

S = C + E + P

The **markup**, also known as the **margin**, or **gross profit**. is the difference between the selling price and operating expenses (M = S - C). The markup also represents the sum of expenses and the profit. Creating the following formulas.

Markup = Expenses + Profit

M = E + P

Selling Price = Cost of Buying + Markup

S = C + M

Keep in mind, each formula can be rearranged to solve for the desired variable.

For example, if you are looking for profit, and you are given the expenses, cost, and selling price. Then the formula can be rearranged to

P = S - C - E

Instead of providing the amount of markup, markups may be stated as a percent of (1) cost, or (2) of selling price. Manufacturers usually keep their records in terms of cost, thus, they will use markups as a percent of cost. Whereas, department stores or retailers keep their records in terms of selling price. The following formulas are: \[Rate\, of\, Markup\, based\, on\, Cost = \frac{Markup}{Cost} = \frac{M}{C} \times 100\%\]

\[Rate\, of\, Markup\, based\, on\, Selling\,Price= \frac{Markup}{Selling\,Price} = \frac{M}{S} \times 100\%\]

Something to Think About:

The rate of markup based on cost can be **more than 100%**, but the rate of markup based on selling price **cannot exceed 100%**. What is the reason?

A fixture is sold at a price of $452.20, including markup of 40% of the cost.

a. What is the cost of the fixture?

b. What is the rate of markup on selling price?

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

- Last Updated: Mar 27, 2023 5:08 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
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