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# NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities - PDF Download

NCERT solutions for class 8 maths chapter 7 Comparing Quantities elaborates the concepts of ratio and proportions as well as percentages. This chapter addresses practical problems that will assist students in comprehending the process of comparison of quantities and further elaborates on the concepts of simple interest. The NCERT solutions for class 8 maths chapter 7 Comparing Quantities also covers the conversion of whole numbers, fractions, decimals, and percentages into ratios and percentages. In this chapter there are a lot of questions included in exercises that help you to understand the core concepts of comparing quantities.

NCERT solutions for class 8 maths chapter 7 Comparing Quantities are prepared by subject experts who have years of experience to meet the needs of the class 8 students. These solutions are straightforward and do not confuse the students but help them to come to a conclusion using the best method of problem solving. The NCERT solutions for class 8 maths chapter 7 can be found here in free PDF format. These solutions have been prepared in accordance with the updated guidelines. The PDF includes all exercise questions of chapter 7 that will help you in your revision process and will help you in performing well in the upcoming maths exam.

One of the advantages of referencing NCERT solutions for class 8 maths chapter 7 is that the students will get theoretical and practical knowledge about the topic. Students of class 8 can download NCERT solutions for math chapter 8 pdf free from eSaral.

## Important Topics covered in Chapter 7 - Comparing Quantities

NCERT solutions for class 8 maths chapter 7 is highly relevant as it covers the fundamental concepts of tax, interest and many more. Topics covered in this chapter include:

 7.1 Recalling Ratios and Percentages 7.2 Finding Discounts 7.2.1 Estimation in Percentages 7.3 Sales Tax/Value Added Tax/Goods and Services Tax 7.4 Compound Interest 7.5 Deducing a Formula for Compound Interest 7.6 Applications of Compound Interest formula

7.1 Recalling Ratios and Percentages - The ratio to percent conversion in Mathematics is beneficial for comparing each part and the whole. A ratio compares any two parts of a total. For example, the sugar to salt ratio in a solution is 3:1, which means the sugar content in the solution is 3 times higher than the salt content. You can also use percentages to describe a particular type of ratio. A percentage compares one part of a sum to another, rather than the two parts being compared separately. For example,The proportion of sugar in the solution is 75% and the proportion of salt is 25%.

7.2 Finding Discounts - You can get the discount rate formula from either subtracting the price of the product from the marked price, or multiplying discount rate and product price. The discount formula can be mathematically represented as follows:

Discount = Marked Price – Selling Price  or

Discount Percentage Formula = Marked Price × Discount Rate

Other basis Discount formulas are as below: –

Discount = List Price – Selling Price

Therefore

Selling Price = List Price – Discount

List Price = Selling Price + Discount

A discount is a price where the price of an item (goods or service) is less than the listed price. In simple terms, a discount represents a percentage of the item's price. A discount is when you lower the price of something. It's usually seen in consumer transactions where you offer a certain amount of discounts for different items to boost your sales. A discount is a rebate that the seller offers to the buyer.

7.2.1 Estimation in Percentages - In this section, we will explore the process of estimation percentages for decimals. To obtain the estimated percentage, we will round off the decimals. For example, if we need to find a 10% of a number such as 206.78, we can round 206.78 to 210 and find the 10%

10% of 210 = 10/100 x 210 = 21

Therefore, using the example above, we can easily calculate the estimated percentage of decimals without using a calculator.

7.3 Sales Tax/Value Added Tax/Goods and Services Tax - Sales tax is the tax on the products you buy. It is mainly collected by the government on every product you sell. This indirect tax is calculated as a percentage of the item’s selling price after purchase.

The sale tax can be calculated by:

Sales tax = percentage of tax of Bill Amount

Total Bill = Sales Tax + Cost of the product

Another type of tax is Value Added Tax (VAT). This is a tax collected by the government to pay for public welfare expenses. Also known as a consumption tax, it's added to every item at every step of the production and distribution process. It's usually paid out in the form of product costs.

Goods and Services tax - This indirect tax is applied to the supply of goods and services in respect of any product. It is considered to be a destination based tax in several phases and comprehensives because it can be applied to all indirect taxes except for a few State taxes.

7.4 Compound Interest - Compound interest refers to the interest you pay on a loan or a deposit. Compound interest is the most commonly used term in our daily lives. The compound interest rate is determined by the amount of principal and the interest you earn over time. That’s the big difference between compound and simple interest.

7.5 Deducing a Formula for Compound Interest - In this section, you will learn the deducing formula for compound interest.

7.6 Applications of Compound Interest formula - There are some situations where we could use the formula for calculation of amount in CI. Here are a few.

1. Increase (or decrease) in population.
2. The growth of a bacteria if the rate of growth is known.
3. The value of an item, if its price increases or decreases in the intermediate years

## NCERT Solutions for Class 8 Maths Chapter 7 Exercises

The PDF format of  NCERT solutions for exercises of chapter 7 Comparing Quantities is provided below.

 Exercise 7.1 6 Questions & Solutions Exercise 7.2 5 Questions & Solutions Exercise 7.3 3 Questions & Solutions

There are many benefits of the NCERT solutions for class 8 maths chapter 7 Comparing Quantities that help students to understand this important topic.

1. The NCERT solutions for class 8 maths chapter 7 contain well-explained pdf of exercises and questions that cover all the essential concepts of the topic.

3. The students will be able to comprehend the language and the concepts better and they will be able to understand the formulas better in NCERT solutions provided by eSaral. This will help them to perform better in the exams.

4. Students can solve questions of different levels of difficulty to improve their self-confidence.