7. Comparing Quantities

This chapter explores the concepts of comparing quantities, including ratios, percentages, discounts, sales tax, and the basics of compound interest. It provides practical examples and exercises to help understand how to calculate these quantities in various scenarios, from everyday applications to financial calculations. Additionally, it emphasizes the importance of understanding percent changes in different contexts, such as population growth and depreciation.

Sections

  • 7

    Comparing Quantities

    This section introduces the concepts of comparing quantities using ratios, percentages, and practical applications in everyday situations.

  • 7.1

    Recalling Ratios And Percentages

    This section focuses on understanding ratios and percentages through comparisons of quantities.

  • 7.2

    Finding Discounts

    This section discusses discounts as reductions on the marked price of items, explaining how to calculate both the discount amount and the discount percentage.

  • 7.2.1

    Estimation In Percentages

    This section focuses on estimating percentages, specifically how to calculate approximate values based on rounding and application of percentage concepts.

  • 7.3

    Sales Tax/value Added Tax/goods And Services Tax

    This section introduces sales tax, value added tax (VAT), and goods and services tax (GST) as important financial concepts related to taxation on goods and services in an economy.

  • 7.4

    Compound Interest

    This section introduces compound interest, explaining how it differs from simple interest and providing methods for its calculation.

  • 7.5

    Deducing A Formula For Compound Interest

    This section outlines a method for deducing a formula to calculate compound interest.

  • 7.6

    Applications Of Compound Interest Formula

    This section discusses the practical applications of the compound interest formula in various real-world scenarios.

Class Notes

Memorization

What we have learnt

  • Ratios express the relative...
  • Percentages provide a way t...
  • Discounts and taxes directl...

Final Test

Revision Tests

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