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Mastering Percentage Calculations: Solutions to Common Exercises

Understanding and calculating percentages is a fundamental skill in mathematics, essential for various applications in daily life, finance, and other fields. If you're looking to improve your percentage calculations, you've come to the right place. In this article, we'll delve into common percentage exercises, their solutions, and provide tips to help you grasp these concepts.

Understanding the Basics of Percentage Calculations

Before we dive into the exercises, let's quickly review the basics of percentage calculations:

Definition: A percentage is a number or ratio expressed as a fraction of 100.
Symbol: The percentage symbol (%) is used to represent a percentage.
Calculation: To find a percentage, multiply the base number by the percentage (in decimal form). For example, 25% of 80 is calculated as 0.25 * 80.

Exercise 1: Finding a Percentage of a Number

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Find 30% of 120.

Solution:	Step-by-Step:
36	30% = 0.30; 0.30 * 120 = 36

Exercise 2: Finding a Number from a Percentage

What number is 40% of?

Solution:	Step-by-Step:
25	Let the number be x. Then, 0.40 * x = 25; x = 25 / 0.40 = 62.5

Exercise 3: Percentage Increase and Decrease

If a number increases by 20%, what is the new number?

Solution:	Step-by-Step:
120	Let the original number be x. Then, x + 0.20 * x = 120; 1.20 * x = 120; x = 100

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Exercise 4: Percentage Increase and Decrease (Decrease)

If a number decreases by 15%, what is the new number?

Solution:	Step-by-Step:
85	Let the original number be x. Then, x - 0.15 * x = 85; 0.85 * x = 85; x = 100

Tips for Improving Your Percentage Calculations

Practice makes perfect, so keep working on percentage exercises. Additionally, try to understand the underlying concepts and apply them to real-life situations. This will not only help you grasp the material better but also make it more engaging and relevant.

Remember, percentages are just a way of expressing a number as a part of 100. By understanding this, you can approach percentage calculations with confidence and accuracy. Happy calculating!