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NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Ex 7.3

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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.

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Vedantu's NCERT 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.


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


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.



Important Related Links for CBSE Class 8 Maths

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

1. What are NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Exercise 7.3 as per CBSE 2025–26?

NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3 are stepwise answers to all textbook questions based on comparing quantities, particularly compound interest. Each solution follows the CBSE 2025–26 marking scheme and method, helping students understand every calculation and logical step used to find amounts, principal, interest, and growth/decay rates using prescribed formulas.

2. Which formulas are essential for solving questions in Class 8 Maths Chapter 7 Exercise 7.3 solutions?

In Exercise 7.3, students primarily apply:

  • Compound Interest (CI): A = P (1 + r/100)n, where A = amount, P = principal, r = rate per annum, n = number of years
  • Simple Interest (SI): SI = (P × R × T)/100, for comparison questions

3. How are Vedantu's NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3 helpful for exam preparation?

Vedantu's solutions break down each question into easy-to-follow steps in line with the NCERT Class 8 Maths syllabus. By following these solutions, students can:

  • Grasp the logic behind each calculation
  • Identify exam-relevant methods
  • Boost speed and accuracy for CBSE-type questions

4. What is the central concept students must understand in Class 8 Maths Chapter 7 Exercise 7.3?

The core concept in Exercise 7.3 is compound interest and its real-life applications (such as population growth, depreciation, and compounded investments). Students must learn how amounts increase or decrease over multiple periods and be able to use the formula methodically under CBSE evaluation criteria.

5. Why is compound interest an important topic in Class 8 Maths NCERT Solutions for Chapter 7?

Compound interest models how money grows or diminishes in real life, teaching students key concepts in financial literacy. Understanding CI in Grade 8 builds a strong base for advanced financial mathematics in higher classes, as required by the CBSE curriculum.

6. How does compound interest differ from simple interest as explained in Class 8 Maths Chapter 7 Exercise 7.3 solutions?

Compound interest is calculated on the initial principal plus accumulated interest of previous periods, resulting in faster growth over time. Simple interest is always calculated on the original principal. Exercise 7.3 includes direct comparison examples using both formulas.

7. Which types of real-life scenarios are used in Class 8 Maths Chapter 7 Exercise 7.3 NCERT questions?

CBSE Class 8 Maths Chapter 7 Exercise 7.3 presents scenarios involving:

  • Calculating population changes using growth rates
  • Finding depreciated values (e.g., vehicles)
  • Assessing compound growth in bacteria counts
Each type requires correct application of the compound interest formula.

8. What are some common mistakes students should avoid in NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3?

Common errors include:

  • Using the simple interest formula instead of compound interest
  • Not converting percentage rates properly
  • Incorrect application of exponents in the formula (1 + r/100)^n
  • Missing the correct period calculation (n, years, or intervals)

9. How many questions are typically found in Class 8 Maths Chapter 7 Exercise 7.3, and what do they assess?

Exercise 7.3 generally has 6–8 questions focusing on application of the compound interest formula to varied scenarios. The questions test:

  • Calculation skills
  • Logical reasoning with financial rates
  • Ability to interpret real-world mathematical problems

10. What is the stepwise approach recommended for solving Class 8 Maths Chapter 7 Exercise 7.3 as per NCERT Solutions?

Effective steps include:

  • Identify known values (P, r, n, etc.)
  • Write the correct formula
  • Substitute given numbers
  • Solve exponents first
  • Calculate to the nearest rupee or as instructed
  • Interpret the answer based on the question's context

11. How can students ensure accuracy when working with compound interest problems in Exercise 7.3?

To enhance accuracy, students should:

  • Double-check substituted values (especially rate and time)
  • Use brackets for correct order of operations
  • Practice similar examples for speed and error identification

12. What are some higher-order thinking (HOTS) FUQs for Class 8 Maths Chapter 7 NCERT Solutions?

HOTS questions may include:

  • "How would your answer change if interest were compounded half-yearly instead of annually?"
  • "If the rate of depreciation changes each year, how does that affect your calculation?"
  • "Why might compound interest be more favorable for investments compared to simple interest?"

13. What conceptual misunderstandings commonly occur with Class 8 Comparing Quantities Exercise 7.3 solutions?

Students often confuse growth rate compounding with simple addition, overlook time period alignment (years vs. months), or misunderstand when to use compound vs. simple interest formulas. Always align with CBSE sample worked examples when in doubt.

14. How should a student prepare for CBSE examination questions based on NCERT Class 8 Maths Chapter 7 Exercise 7.3?

  • Practice solving both direct and scenario-based questions using the compound interest formula
  • Revise stepwise solutions for accuracy
  • Understand and apply formula variations (annual, half-yearly)
  • Review mistakes using Vedantu's expert explanations

15. What are the advantages of using NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3 from Vedantu?

Vedantu's Class 8 Maths Chapter 7 Exercise 7.3 solutions offer:

  • CBSE 2025–26 aligned stepwise answers
  • Expert strategies for tricky compound interest problems
  • Clear methodologies supporting both exam and conceptual excellence