Mastering Percentage Changes and Growth Calculations

Revision sheet excerpt

Course Outline

  1. Percentage Increase Factors
  2. Compound Growth Calculations
  3. Price Discount Calculations
  4. Investment Growth
  5. Depreciation of Assets
  6. Multiplicative Change
  7. Population Growth
  8. Tax and Discount Application

1. Percentage Increase Factors

Key Concepts & Definitions

  • Percentage Increase Factor: The multiplier that represents the effect of a percentage increase on a quantity. It is calculated as 1 plus the percentage increase divided by 100. (Author: general mathematical principle)
    Example: A 10% increase corresponds to a percentage increase factor of 1.10.

  • Calculation of Change Factor for a Given Percentage Increase: To find the change factor, convert the percentage increase into a decimal and add 1. (Author: basic percentage-to-factor conversion)
    Formula: Change factor = 1 + (percentage increase / 100)

  • Applying Percentage Increase Factors Sequentially: When multiple percentage increases are applied one after another, multiply their respective change factors to find the overall effect. (Author: multiplicative property of percentage changes)
    Example: An increase of 10% followed by 20% results in a total change factor of 1.10 × 1.20 = 1.32, equivalent to a 32% increase.

Essential Points

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Quiz preview

1. What is a percentage increase factor?

2. Who is cited as explaining the concept of compound growth calculations in the course content?

3. What is the primary purpose of applying multiple price discounts sequentially in calculations?

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Flashcards preview

Percentage Increase Factor — definition?

Multiplier representing percentage increase, 1 + (percentage/100).

Change factor for 15% increase?

1.15.

Sequential increases — method?

Multiply their change factors.

Compound Growth — mechanism?

Repeated percentage increases, exponential effect.

Growth factor for 10%?

1.10.

Final price after discounts?

Original × product of discount factors.

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