NCERT Solutions for Class 8 Maths Chapter 8- Comparing Quantities

NCERT Solutions For Class 8 Maths Chapter 8 PDF Free Download

NCERT Solutions are useful for students as it helps them in scoring high marks in the examination.The NCERT Solutions contain detailed step-by-step explanation of all the problems that come under the Chapter 8, Comparing Quantities, of the Class 8 NCERT Textbook.

These solutions are prepared by subject matter experts at BYJU’S, describing the complete method of solving problems. By understanding the concepts used in NCERT Solutions for Class 8, students will be able to clear all their doubts related to “Comparing Quantities”, which includes the topic of Ratios, percentage, interest, amount and much more.

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NCERT Solutions for Class 8 Maths Chapter 8- Comparing Quantities

The chapter deals with the concept of ratios and percentages, along with other main topics and concepts.

The major concepts covered in this chapter includes:

8.1 Recalling Ratios and Percentages

8.2 Finding the Increase or Decrease Per Cent

8.3 Finding Discounts

8.3.1 Estimation in percentages

8.4 Prices Related to Buying and Selling (Profit and Loss

8.4.1 Finding cost price/selling price, profit % loss %

8.5 Sales Tax/ Value Added 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

Exercise 8.1 Solutions 6 Questions (1 Long Answer Questions, 5 Short Answer Questions)

Exercise 8.2 Solutions 10 Questions (4 Long Answer Questions, 6 Short Answer Questions)

Exercise 8.3 Solutions 12 Questions (6 Long Answer Questions, 6 Short Answer Questions)

NCERT Solutions for Class 8 Maths Chapter 8- Comparing Quantities

The Chapter 8 of NCERT Solutions for Class 8 Maths is really important to learn as the basic knowledge of tax, interext, profit, loss and much more are conveyed in this chapter. The concepts discussed in this chapter

  1. Discount is a reduction given on marked price. Discount = Marked Price – Sale Price.
  2. Discount can be calculated when discount percentage is given. Discount = Discount % of the Marked Price
  3. Additional expenses made after buying an article are included in the cost price and are known as overhead expenses. CP = Buying price + Overhead expenses
  4. Sales tax is charged on the sale of an item by the government and is added to the Bill Amount. Sales tax = Tax% of Bill Amount.
  5. GST stands for Goods and Services Tax and is levied on the supply of goods or services or both.
  6. Compound interest is the interest calculated on the previous year’s amount (A = P + I)

Key Features of NCERT Solutions for Class 8 Maths Chapter 8- Comparing Quantities

Learning the chapter Comparing Quantities enables the students to:

  • Slightly advanced problems involving applications on percentages, profit & loss, overhead expenses, Discount,tax.
  • Difference between simple and compound interest (compounded yearly up to 3 years or half-yearly up to 3 steps only), Arriving at the formula for compound interest through patterns and using it for simple problems.
  • Direct variation – Simple and direct word problems
  • Inverse variation – Simple and direct word problems
  • Time & work problems– Simple and direct word problems

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