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NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3 - Comparing Quantities

Last updated date: 29th Sep 2024

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NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Exercise 7.3- FREE PDF Download

NCERT Class 8 Maths Ex 7.3 , Comparing Quantities, focuses on understanding and applying the concepts of percentages, profit and loss, and simple and compound interest.Understanding is crucial for developing practical mathematical skills used in daily life, such as calculating discounts, interest rates, and comparing different quantities.

Table of Content

1. NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Exercise 7.3- FREE PDF Download

2. Glance on NCERT Solutions Class 8 Maths Chapter 7 Exercise 7.3 | Vedantu

3. Important Formulas Used in Class 8 Chapter 7 Exercise 7.3

4. Access NCERT Solutions for Maths Class 8 Chapter 7- Comparing Quantities Exercise 7.3

5. Class 8 Maths Chapter 7: Exercises Breakdown

6. CBSE Class 8 Maths Chapter 7 Other Study Materials

7. Chapter-Specific NCERT Solutions for Class 8 Maths

FAQs

Vedantu's solutions for Maths Class 8 Chapter 7 Exercise 7.3 provide detailed explanations and step-by-step methods to help students grasp concepts effectively. By focusing on these key areas, students can build a strong foundation in solving problems and increase their problem-solving abilities. You can download the FREE PDF for NCERT Solutions for Class 8 Maths from Vedantu’s website and boost your preparations for Exams.

Glance on NCERT Solutions Class 8 Maths Chapter 7 Exercise 7.3 | Vedantu

The NCERT Class 8 Maths Exercise 7.3 Solutions, deals with Compound interest and application of compound.
Compound interest is the interest on a sum of money that you earn not just on the initial amount (principal) but also on the interest that accumulates over time.
The compound interest (CI) can be found using: $[ CI = A - P ]$
Steps to Calculate Compound Interest:

Determine the principal amount (p), This is the initial amount of money.
Determine the interest rate(r),This is the annual interest rate.
Determine the number of periods (n), this is the number of years the money is invested or borrowed.
Calculate the amount (A) using the formula.
Calculate the compound interest (CI) by subtracting the principal from the amount.

This article Comparing Quantities class 8 contains exercise notes, important questions, exemplar solutions, exercises and video links for Exercise 7.3 - Comparing Quantities, which you can download as PDFs.
There are 3 questions in class 8 maths ch 7 ex 7.3 solutions Comparing Quantities.

Important Formulas Used in Class 8 Chapter 7 Exercise 7.3

Compound Interest: $( A = P \left(1 + \frac{r}{100}\right)^n )$
Simple Interest: $( SI = \frac{P \times R \times T}{100} )$

Access NCERT Solutions for Maths Class 8 Chapter 7- Comparing Quantities Exercise 7.3

1. The population of a place increased to 54000 in 2003 at a rate of $5\% $ per annum

(i) Find the Population in 2001.

Ans: It is given that, population in the year 2003 is 54,000.

Rate of increase of population is $5\% $ per year.

Let $x$ be the population in 2001. Use the compound interest formula for finding the value of $x$.

$54000 = x{\left( {1 + \dfrac{5}{{100}}} \right)^2}$

Simplify further to solve for $x$.

$x = 54000 \times \dfrac{{20}}{{21}} \times \dfrac{{20}}{{21}}$

$x = 48979.59$

Thus, the population in the year 2001 was approximately 48,980.

(ii) What would be its population in 2005?

Ans: It is given that, population in the year 2003 is 54,000.

Rate of increase of population is $5\% $ per year.

Let $x$ be the population in 2005. Use the compound interest formula for finding the value of $x$.

$x = 54000{\left( {1 + \dfrac{5}{{100}}} \right)^2}$

Simplify further to solve for $x$.

$x = 54000 \times \dfrac{{21}}{{20}} \times \dfrac{{21}}{{20}}$

$x = 59535$

Thus, the population in the year 2005 would be approximately 59,535.

2. In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of $2.5\% $ per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

Ans: The initial count of bacteria is given as 5,06,000.

Number of bacteria is increasing at the rate of $2.5\% $ per hour.

Bacteria at the end of 2 hours =$506000{\left( {1 + \dfrac{{2.5}}{{100}}} \right)^2}$.

Simplify further,

$506000{\left( {1 + \dfrac{{2.5}}{{100}}} \right)^2} = 506000 \times \dfrac{{41}}{{40}} \times \dfrac{{41}}{{40}} = 531616.25$

Thus, the count of bacteria at the end of 2 hours will be 5, 31,616 (approximately).

3. A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

Ans: The principal is the cost price of the scooter, that is, ${\text{Rs}}{\text{. }}42000$.

The rate of depreciation of a scooter is $8\% $ per year, that means each year the price decreases at the rate of $8\% $.

In one year the price decreases,

${\text{Rs}}{\text{. }}\dfrac{{42000 \times 8 \times 1}}{{100}} = {\text{Rs}}{\text{. }}3360$

The value of the scooter after 1 year is, ${\text{Rs}}{\text{. 42000 }} - {\text{ Rs}}{\text{. 3360 }} = {\text{ Rs}}{\text{. 38,460}}$.

Conclusion

In NCERT class 8 maths exercise 7.3 solutions Comparing Quantities is essential for understanding the concepts of compound interest and its applications. 7.3 class 8 maths exercise focuses on understanding how compound interest is calculated over different periods and its comparison with simple interest. It's important to pay attention to the formulas and practice solving various problems for your understanding. By practicing the problems in this class 8 math ex 7.3 , students can enhance their mathematical skills and be well-prepared for their exams.

Class 8 Maths Chapter 7: Exercises Breakdown

Exercise	Number of Questions
Exercise 7.1	6 Questions and Solutions
Exercise 7.2	5 Questions and Solutions

CBSE Class 8 Maths Chapter 7 Other Study Materials

S.No.	Important Links for Chapter 7 Comparing Quantities
1	Class 8 Comparing Quantities Revision Notes
2	Class 8 Comparing Quantities Important Questions
3	Class 8 Comparing Quantities Formula
4	Class 8 Comparing Quantities NCERT Exemplar Solution

Chapter-Specific NCERT Solutions for Class 8 Maths

Given below are the chapter-wise NCERT Solutions for Class 8 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

S. No	NCERT Solutions Class 8 Maths Chapter-wise List
1	Chapter 1 - Rational Numbers Solutions
2	Chapter 2 - Linear Equations in One Variable Solutions
3	Chapter 3 - Understanding Quadrilaterals Solutions
4	Chapter 4 - Data Handling Solutions
5	Chapter 5 - Squares and Square Roots Solutions
6	Chapter 6 - Cubes and Cube Roots Solutions
7	Chapter 7 - Comparing Quantities Solutions
8	Chapter 8 - Algebraic Expressions and Identities Solutions
9	Chapter 9 - Mensuration Solutions
10	Chapter 10 - Exponents and Powers Solutions
11	Chapter 11 - Direct and Inverse Proportions Solutions
12	Chapter 12 - Factorisation Solutions
13	Chapter 13 - Introduction to Graphs Solutions

Important Related Links for CBSE Class 8 Maths

S. No	Other Study Materials for CBSE Class 8 Maths
1	CBSE Class 8 Maths NCERT Textbook
2	CBSE Class 8 Maths Important Questions
3	CBSE Class 8 Maths Sample Papers
4	CBSE Class 8 Maths NCERT Exemplar Solutions
5	CBSE Class 8 Maths RD Sharma Solutions
6	CBSE Class 8 Maths RS Aggarwal Solutions
7	CBSE Class 8 Maths Formulas

FAQs on NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3 - Comparing Quantities

1. What are the advantages of NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.3?

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities (Ex 8.3) are really advantageous in exam preparation. These solutions are available on e-learning platforms like Vedantu in a free to download PDF format. At Vedantu, these solutions are provided by subject matter experts. Students must download the PDF of Class 8 Maths Chapter 8 Comparing Quantities for Exercise 8.3 to find the solutions to the exercise questions. These solutions can help to clear any doubt regarding the exercise. Students can also get tips and tricks to solve the exercise in a faster manner with the help of these solutions. One can score well in the exam using exercise-wise NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities.

2. Where can I find NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.3?

Vedantu, a premier online learning platform, provides well-designed NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.3 and other exercises. Students can download this study material from Vedantu as these are 1005 authentic and accurate solutions. These solutions are prepared by subject experts who have years of teaching experience. Vedantu provides the free PDF NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 which include answers to the exercise questions. These solutions are helpful in exam preparation and provide effective revision during exams.

3. Why must students refer to Vedantu’s NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 to score well in exams?

Referring to NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.3 will provide complete coverage of the exercise questions. This is really helpful during exams as it allows students to have a thorough practice. Solutions are provided by experts who give detailed explanations to the questions. The free PDF of NCERT Solutions for CBSE Maths of Class 8 Chapter 8 can be used at the time of revision to learn the important concepts related to the chapter. These are really helpful in scoring well in the paper and must be downloaded by every CBSE Class 8 student.

4. What are the subtopics of Class 8 Maths Chapter 8 Comparing Quantities?

Following are the subtopics of Class 8 Maths Chapter 8 Comparing Quantities as per the NCERT textbook:

Recalling Ratios and Percentages
Finding the Increase or Decrease Per Cent
Finding Discounts
Prices Related to Buying and Selling (Profit and Loss)
Sales Tax/Value Added Tax/Goods and Services Tax
Compound Interest
Deducing a Formula for Compound Interest
Rate Compounded Annually or Half Yearly (Semi Annually)
Applications of Compound Interest Formula

5. How many questions are there in Exercise 8.3 of Chapter 8 from Class 8 Maths and it deals with which concepts?

Exercise 8.3 of Chapter 8 from Class 8 Maths consists of six Long Answer Questions and six Short Answer Questions. Exercise 8.3 deals with the concepts based on

Compound Interest
Deducing a Formula for Compound Interest
Rate Compounded Annually or Half Yearly
Applications of Compound Interest Formula

Students can easily find the questions and solutions based on these concepts on the official site of Vedantu.

6. Where can I download the NCERT Solutions for Exercise 8.3 of Chapter 8 from Class 8 Maths PDF online?

Students can download the NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.3 for free on the Vedantu study portal. All the solutions from the exercise are curated by expert teachers having vast conceptual knowledge and experience. NCERT solutions are one of the best-rated solutions available online. All the questions are solved in a stepwise manner based on the CBSE latest syllabus and the exam pattern designed by the CBSE board.

7. Are NCERT Solutions for Exercise 8.3 of Chapter 8 from Class 8 Maths PDF enough to score well in the exams?

Following NCERT Solutions is absolutely enough for the students to score the highest marks in the exam. Students can view the solutions online or download them for free from the Vedantu website. They can access it anywhere and anytime without any time constraints. Practising regularly and revising thoroughly will help the students to achieve the marks they want. It will also help them to improve their time management and problem-solving abilities. Exercise-wise solutions are provided to help the students gain knowledge of the concepts.

8. Do NCERT Solutions for Exercise 8.3 of Chapter 8 from Class 8 Maths have answers for all the textbook questions?

9. Do I need to make notes while referring to NCERT Solutions for Exercise 8.3 of Chapter 8 of Class 8 Maths?

Students are highly recommended to make notes in their own words while studying from the NCERT Solutions. Making notes is a best practice as it will help the students to quickly recall the concepts they have studied earlier. For some problems, writing down the methods in an easy way will help the students to remember for a long time. Therefore, this will help the students to complete the revision at twice the pace and memorise twice the amount of information compared to studying without notes.

10. What formula is used for calculating compound interest in ncert class 8 maths exercise 7.3 solutions?

The formula used is $\[ A = P \left(1 + \frac{r}{100}\right)^n \]$ , where $ \[A\] $ is the amount , $ \[P\] $ is the principal , $ \[r\] $ is the rate , and $ \[n\] $ is the number of years.

11. What is the main focus of ncert class 8 maths exercise 7.3 solutions?

Class 8 Maths Exercise 7.3 focuses on calculating compound interest and understanding its applications. It teaches how compound interest differs from simple interest and emphasizes real-life scenarios where compound interest is used, such as savings accounts and loans. The exercise aims to build a solid foundation in financial mathematics, which is essential for future studies.

12. Why is understanding compound interest important in class 8 maths ch 7 ex 7.3 solutions?

Understanding compound interest is crucial because it helps in managing savings, investments, and loans effectively. It introduces students to the concept of money growth over time, providing a practical understanding of how interest works. This knowledge is vital for making informed financial decisions, planning for the future, and understanding the value of investments.

13. How many questions from class 8 maths Chapter 7 exercise 7.3 solutions were asked in previous year exams?

Three questions related to compound interest appear in exams. These questions typically test the student's ability to apply the compound interest formula and solve practical problems. By practicing these questions, students can prepare effectively for exams and gain confidence in their problem-solving skills.

14. What should I focus on while solving maths class 8 chapter 7 exercise 7.3?

Focus on understanding the compound interest formula and practicing various problems to apply the concept correctly. Pay attention to the steps involved in calculating compound interest and ensure you understand how to use the formula in different scenarios. Practice regularly to enhance your calculation speed and accuracy.

15. How can Vedantu's solutions help with class 8 maths chapter 7 exercise 7.3 solutions?

Vedantu's solutions provide step-by-step explanations and detailed examples to help you understand and solve the problems efficiently. They offer clear, concise methods for calculating compound interest, making it easier for students to grasp the concept. Additionally, Vedantu's solutions often include tips and tricks to simplify complex calculations and improve problem-solving skills.