NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities are developed by subject experts, ensuring the requirements of a CBSE Class 8 student. These NCERT Solutions are to the point and do not confuse students; they instead help them in reaching a conclusion using the ideal problem-solving method. Solving NCERT questions will offer the students the advantage of preparing themselves adequately, well ahead of the final CBSE exams. CoolGyan’S aims to bring out the best in students by further skill-building exercises that are apt to their class, strengths and interests. Grade 8 NCERT Solutions are an invaluable aid to students for their exam preparations.

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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

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

1. Discount is a reduction given on marked price. Discount = Marked Price – Sale Price.
2. Discount can be calculated when the 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