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# Chapter 8 - Comparing Quantities

In this chapter, you’ll study various concepts that are very practical in nature and are used in our day to day lives. You will begin with ratios and percentages that help in making comparisons in our daily lives, followed by what happens when the prices of certain items increase or decrease over a period of time. You’ll also learn how to calculate discounts, cost price, sales price, profit per cent and loss per cent. In NCERT Solutions for Class 8 Maths, Chapter 8, you will also get in-depth knowledge about various taxes prevalent in our country. This will be followed by how to calculate compound interest annually or half-yearly.

## Let’s take a look at topics and sub-topics of Class 8 Maths Chapter 8, Comparing Quantities

8.1 Recalling Ratios and Percentages

8.2 Finding the Increase or Decrease Per cent

8.3 Finding Discounts

8.4 Prices Related to Buying and Selling (Profit and Loss)

8.5 Sales Tax/Value Added Tax/Goods and Services Tax

8.6 Compound Interest

8.7 Deducing a Formula for Compound Interest

8.8 Rate Compounded Annually or Half Yearly (Semi-Annually)

8.9 Applications of Compound Interest Formula

## In Class 8 Maths Chapter 8, you will learn -

Section 8.1 - In this section, you’ll learn about ratios and percentages in detail. For instance, you will be able to solve questions like the ratio of the number of girls to the number of boys or finding the cost per head, or the percentage of distance left to be covered and more.

Section 8.2 - In this section, you’ll study the techniques of finding the percentage increase or decrease in the prices of various items, over a period of time.

Section 8.3 - In this section, you will come across the concept of discounts. You’ll learn how to compute discount (in percentage) when the market price and the sale price are given or how to compute the actual price when the discount is given.

Section 8.4 - In this section, you will acquire knowledge on how to find the cost price, selling price, profit, profit per cent, loss and loss percentage in given situations.

Section 8.5 - In this section, you’ll get in-depth knowledge about Sales Tax, Value Added Tax (VAT) and Goods and Services Tax (GST). A study of these taxes is very important in our day to day lives.

Section 8.6 - In this section, you’ll learn about compound interest in detail. You’ll acquire knowledge of how interest is calculated when you deposit money in banks or post offices or when you take a loan from the banks.

Section 8.7 – This section reveals the techniques of finding compound interest in an easier way.

Section 8.8 - In this section, you’ll learn why the rate of interest is compounded annually, half-yearly or quarterly. You’ll also solve some examples related to this.

Section 8.9 - In this section, you will come across real-life applications of calculating the compound interest such as calculating the increase or decrease in population, finding the current price of an item or increase in the level of pollution in your city.

In this chapter, you are provided with several examples along with their solutions for clear understanding about Comparing Quantities. To know more about Class 8 Maths Chapter 8 Comparing Quantities, you should explore the exercises below. You can also download the Comparing Quantities Class 8 NCERT Solutions PDF, solved by expert Maths trainers.

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