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RS Aggarwal Class 8 Mathematics Solutions for Chapter-11 Compound Interest

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Class 8 RS Aggarwal Maths Compound Interest Solutions - Free PDF Download

You have studied simple interests in the previous classes. In Class 8, you will learn how to compute compound interest using the basic formulas explained in the respective chapter. Students use RS Aggarwal to check their knowledge base in compound interest. The exercises of RS Aggarwal Class 8 Maths Chapter 11 deliver a platform where you can judge your problem-solving skills.

To solve your queries and doubts, use the RS Aggarwal solutions Class 8 Maths Chapter 11 prepared by the experienced teachers of Vedantu. Find out how the formulas of compound interest have been explained in a simplified way and learn how to solve the problems in the exercises. Prepare this chapter by downloading and using this solution file at your convenience.

Why Vedantu for Class 8 RS Aggarwal Maths Compound Interest?

Vedantu is a platform that provides all kinds of resources to students who are looking for them free of cost, anytime, anywhere.  All students have to do is create an account and then he/she will be able to download them to their computers.  It also has free NCERT Solution and other study materials for students. You can also download NCERT Solutions for Class 8 Maths and Class 8 Science to help you to revise the complete syllabus and score more marks in your examinations. 


Maths Chapter - 8 - Compound Interest: Overview

Based on the principal and the interest earned over some time the compound interest can be calculated. It differs from simple interest in that interest is not added to the principle when the next period's interest is calculated. Compound interest is commonly abbreviated as C.I. in mathematics.  In mathematics, compound interest is a term that refers to the accumulation of interest over time. Compound interest can be calculated in a variety of ways depending on the situation. To make the calculations easier, we can utilize the compound interest formula. To calculate the compound interest we require details of the amount and principal. It's the distinction between the amount and the principal.


Compound Interest

Compound interest is calculated in a similar manner as a simple interest in Compound Interest, considering the principal (the amount based on which interest is determined) being renewed annually. Once you deposit an amount in a bank, every year you will receive the interest. This does not remain constant year after year, but it does increase. To estimate the compound interest on Rs 1000 over two years at a rate of 10% per year, for example, we must compute the interest for each year separately.


Simple Interest

It is a fast way to calculate the amount you owe on a loan. Simple interest is a notion that is employed in a variety of industries, including banking, finance, and automobiles. When you make a loan payment, the monthly interest is deducted first, and the remainder is applied to the principal. Let us look at the definition, the simple interest formula, and how to compute simple interest with examples in this post.


Important Formulae

  • Compound Interest = Amount – Principal

  • CI = A – P


Concepts Included under Compound Interest

  • Introduction

  • Simple Interest and Compound Interest Formula Comparison

  • Compound Interest and its terms

  • Compound Interest Formula


Compound Interest Class 8 RS Aggarwal Chapter 11 Solutions Summary

This chapter will first let you recall the formulas and concepts of simple interest. The reason for recapitulating these concepts is to make the explanation of formulas and concepts of compound interest easier. If you follow Compound Interest Class 8 RS Aggarwal, you will find a simplified description of the formulas and their applications in the examples. The exercises in this chapter will then provide a platform to assess your level of understanding. Let us take a quick look at the solution and find out how you will benefit from using it.

The first exercise will concentrate on delivering questions related to the simple interest first. You will immediately proceed to solve the questions related to compound interest and find out how relevant the formulas are. Track how the concept of simple interest has been used to derive the formulas of compound interest. Focus on the different types of questions. Refer to the RS Aggarwal Class 8 Maths Chapter 11 solutions and learn how to approach these questions to solve them step by step.

At first, Maths RS Aggarwal Class 8 solutions Chapter 11 will show how compound interest is calculated without using its formulas. Here, the time mentioned will be segregated to determine the answer to the questions. It will help you understand the mechanism of the composite formula for finding the answer. It will help you clarify the concepts perfectly. On proceeding ahead, you will be asked to find out the difference between simple and compound interest generated by the same sum of money for the same amount of time. Here, you will understand how compound interest differs from simple interest properly.

Use the Maths Class 8 Chapter 11 Compound Interest solution to learn how both the interests vary from each other. These are arithmetic questions that need to be answered in sentences. The formation of sentences must be appropriate. You must not lose focus on the problem while forming the sentences. Use the RS Aggarwal solutions Class 8 Compound Interest to find out how these sentences are formed according to the problems following the protocols set by the education board.

In the next exercise, you will be introduced to the problems of RS Aggarwal Class 8 Maths Compound Interest where you can use the formulas of compound interest directly. Here, the answers can be calculated easily by just replacing the terms with the values provided in the questions. Follow the format and write down the values of the terms at first. Put the values one after the other and form the equation to find the answer.

All the Exercise questions with solutions in Chapter-11 Compound Interest are given below:

Exercise (Ex 11A) 11.1

Exercise (Ex 11B) 11.2

Exercise (Ex 11C) 11.3

Exercise (Ex 11D) 11.4


Tips to Solve Problems of Class 8 RS Aggarwal Compound Interest Faster

Follow the explanation of the formulas mentioned in this chapter and learn how to use them by referring to RS Aggarwal solutions Class 8 Maths Ch 11. Remember how the formula of compound interest has been derived from that of simple interest and know the terms.

Check how the formulas have been morphed to calculate answers from RS Aggarwal solutions Class 8 Maths Ch 11 and practice. This is how you can become better at solving these questions and score more.


Conclusion

RS Aggarwal Class 8 Maths Chapter 11 is one of the fundamental chapters of the arithmetic section. Studying this chapter will help you answer questions and score more. The exercises in this chapter are also very easy and fun to solve. The problems in the RS Aggarwal book are framed in a manner to help students understand from basic to difficult concepts just by practicing.  The problems are quite easy and can be very scoring if you use the right tactics shown by the teachers in the solution.

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FAQs on RS Aggarwal Class 8 Mathematics Solutions for Chapter-11 Compound Interest

1. What are the main formulas for Compound Interest used in RS Aggarwal Class 8 Chapter 11?

The primary formulas you will use when solving problems in RS Aggarwal Chapter 11 are:

  • Amount (A): To find the total amount after interest, the formula is A = P(1 + R/100)ⁿ, where 'P' is the Principal, 'R' is the Rate of Interest per annum, and 'n' is the time in years.
  • Compound Interest (CI): To find only the interest earned, you calculate the Amount first and then subtract the Principal: CI = A - P, which is the same as CI = P[(1 + R/100)ⁿ - 1].

2. How many exercises are in RS Aggarwal's Class 8 Maths Chapter 11, and what do they cover?

Chapter 11, Compound Interest, in the RS Aggarwal textbook for Class 8 contains four main exercises (11A, 11B, 11C, and 11D). These are structured to build your skills progressively:

  • Exercise 11A: Focuses on the basic calculation of amount and compound interest compounded annually.
  • Exercise 11B: Introduces problems where interest is compounded half-yearly or quarterly.
  • Exercise 11C: Covers practical, application-based problems like population growth and asset depreciation.
  • Exercise 11D: Deals with more complex scenarios, such as finding the principal, rate, or time when other values are given.

3. Are the solutions for RS Aggarwal Class 8 Maths Chapter 11 helpful for CBSE exam preparation?

Yes, using the step-by-step solutions for RS Aggarwal Chapter 11 is highly beneficial for exam preparation. While NCERT builds the foundation, RS Aggarwal provides a wide variety of questions that strengthen your problem-solving skills. The detailed solutions help you understand the correct methodology to apply for different types of problems, which is crucial for scoring well in CBSE exams as per the 2025-26 syllabus.

4. How is the calculation of compound interest different when it is compounded half-yearly versus annually?

The key difference lies in how the rate and time are adjusted. When interest is compounded annually, you use the given annual rate (R) and time in years (n). However, for half-yearly compounding:

  • The rate of interest is halved (R/2), as interest is calculated for a 6-month period.
  • The time period is doubled (2n), as there are two compounding periods in each year.

This distinction is critical for solving problems accurately in exercises like 11B.

5. Why is it important to solve RS Aggarwal questions for Chapter 11 after completing the NCERT textbook?

The NCERT textbook is excellent for understanding the fundamental concepts of Compound Interest. However, RS Aggarwal serves as the next logical step for practice and mastery. It offers a greater volume and variety of problems, including many Higher Order Thinking Skills (HOTS) questions. This extensive practice ensures that you can handle any variation of a question in your exams, improving both your speed and accuracy.

6. What types of application-based problems are found in RS Aggarwal Chapter 11 on Compound Interest?

RS Aggarwal Chapter 11 includes several real-world applications of the compound interest formula, which are important for exams. These typically involve:

  • Calculating the growth of population over a few years at a fixed annual rate.
  • Determining the depreciated value of an asset, like a car or machine, whose value decreases over time.
  • Finding the growth in the number of bacteria or the value of an investment.

7. What is a common mistake students make when solving CI problems from RS Aggarwal Chapter 11?

One of the most frequent errors is correctly calculating the final Amount (A) but forgetting the final step: subtracting the Principal (P) to find the Compound Interest (CI). Another common pitfall is misapplying the rules for half-yearly compounding, either by forgetting to halve the rate or double the time period. Careful, step-by-step work is key to avoiding these mistakes.

8. Can the formula A = P(1 + R/100)ⁿ be used to find the Principal (P) in RS Aggarwal questions?

Yes, absolutely. A significant type of question in RS Aggarwal's Chapter 11 involves algebraic manipulation of the core formula. You will often be given the final Amount (A), the rate (R), and the time (n), and your task will be to rearrange the formula to solve for the initial Principal (P). This tests your understanding beyond simple substitution.