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RS Aggarwal Class 8 Mathematics Solutions for Chapter-12 Direct and Inverse Proportions

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Last updated date: 23rd May 2024
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Class 8 RS Aggarwal Maths Direct and Inverse Proportions Solutions - Free PDF Download

After learning ratio and proportion in the previous classes, you will proceed to learn direct and indirect or inverse proportion in Class 8. RS Aggarwal Class 8 Maths Chapter 12 will teach the students the different concepts of proportions and how to use them to solve the questions. These concepts will be clarified by using examples and then your skills will be assessed in the exercises.


Use RS Aggarwal Class 8 Chapter 12 solution to solve all these questions in the right format and learn the easiest methods. Refer to the solution file to discover the best approaches and practice solving these questions. You can download this file and use it offline at your convenience.


Vedantu is a platform that provides free NCERT Solution and other study materials for students. Download Class 8 Maths and Class 8 Science NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

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Direct and Inverse Proportion: An Overview

Inverse Proportion- When the value of a variable falls or grows in proportion to the value of another variable, we can say that the variables are in inverse proportion. 


Direct Proportion- If the value of a variable x always rises or falls in lockstep with the rise or fall in the value of variable y, the variables x and y are said to be in direct proportion.


Mathematically, any two varying physical values are said to be proportional if they are multiplicatively related by a constant term. The more we eat, for example, the more energy we obtain, and the more we run, the more energy we lose.


Elaborate study material, solutions to several problems, revision notes, sample papers, and previous years’ question papers which have been made available by Vedantu are very helpful resources for the students.

  • RS Aggarwal Class 8 Maths Chapter- 13 Direct and Inverse Proportions Solutions is easily accessed online in PDF format for students, these are available along with solved answers on both Vedantu’s site and app.

  • Vedantu aims to ensure students have the right study material to learn every chapter thoroughly and help them to score better.

  • Vedantu RS Aggarwal Solutions are the best source for the final practice for the final exams.


Important Formulae

  • Direct Proportion: Two quantities x and y are said to be in direct proportion their corresponding values grow (drop) in such a way that their ratio remains constant. If x/y=k (where k is a positive value), x and y are said to vary directly. If y1, y2 are the values of y that correspond to the values x1, x of x, respectively, x1/y1 = x2/y2.

  • Inverse Proportion: Two quantities x and y are said to be in inverse proportion if a rise in x induces a proportional decrease in y (and vice versa) in such a way that their product remains constant. If x/y = k, then x and y are said to vary in opposite directions. If y1, y2 are the values of y that correspond to the values of x1, x2 respectively, then x1, Y1 = x2, y2 or x1y1x1y1 = x2y2


Direct and Inverse Proportions: RS Aggarwal Class 8 Maths Chapter 12 Solution Summary

Class 8 is the base of mathematics if you consider the chapters and the syllabus of the higher classes. Hence, studying mathematics in this class properly is a crucial factor. To make your preparations stronger, you need to follow the stepwise methods and approaches used by the teachers to solve the problems of RS Aggarwal Class 8 Maths Chapter 12. Let us check what you can get and benefit from using its solution.


In the first exercise, you will find problems related to simple proportions where you will have to find the value of an unknown section using the concepts. The preliminary problems are a recapitulation method used by the author. You will find out the relation between the known and unknown quantities in the questions by using these concepts. These arithmetic questions are lengthy. Make sure you use the RS Aggarwal Class 8 solutions Maths Chapter 12 while practising these exercises to find the right way to solve these questions without wasting your time.


On proceeding further, you will learn how to use these concepts of Direct and Inverse Proportions in calculating distance, cost, time, etc by using the hints in the problems. As mentioned earlier, forming the respective sentences in this chapter is a challenge too. Consider the format used by the experts following the NCERT guidelines. This format will help you write precisely and concisely to solve the questions. Use the RS Aggarwal solutions Class 8 Maths Ch 12 to get an idea of how these complex questions can be approached and solved in no time.


The more you proceed in this exercise; you will find that the difficulty level of the questions is increasing. Every question will require a strong conceptual base to solve. You will have to be very intuitive in solving these questions. The calculations are easier but formatting the answer is tough. Practice answering such questions using the solution for RS Aggarwal Class 8 Maths Direct and Inverse Proportion so that you can make immense progress in very little time and complete this chapter faster.


The next exercise will concentrate on the problems related to inverse proportionality. The author has segregated the problems into two major exercises for the benefit of students. In this part, you will discover the challenges of solving questions related to inverse proportions. Here, you will learn the difference between Direct and Inverse Proportion in a better way. Check out the solutions of Direct and Inverse Proportion Class 8 RS Aggarwal questions to grab the concept even better. Learn how to use them to solve critical questions without any hassle.


All the Exercise questions with solutions in Chapter-12 Direct and Inverse Proportions are given below:

Exercise (Ex 12A) 12.1

Exercise (Ex 12B) 12.2

Exercise (Ex 12C) 12.3


Tips to Prepare Class 8 RS Aggarwal Chapter 12 Direct and Inverse Proportions

The biggest challenge in this section is to keep the concepts of direct proportion aside and use the exact opposite concepts of inverse proportion. Do not get confused and let the RS Aggarwal Class 8 Chapter 12 solution simplify your way into this chapter.


Concentrate on the approaches designed by the teachers to identify and differentiate between Direct and Inverse Proportion easily. Use your common sense to understand which one of them fits into the description of the problem. This is how you can prepare RS Aggarwal solutions Class 8 Chapter 12. Download its solution and utilize your time efficiently.

FAQs on RS Aggarwal Class 8 Mathematics Solutions for Chapter-12 Direct and Inverse Proportions

1. What is the difference between both Direct and Inverse Proportion?

Some hints and signs will tell you whether you have to use the concepts of direct or inverse proportions in the questions. Use your common sense to find the relation between the entities and check their behaviour in the RS Aggarwal solutions Class 8 Chapter 12 exercises. It’s pretty simple to differentiate between inverse and direct proportion. All you need to understand for the same is, on splitting two matching amounts - the ratio between will remain unchanged if done in a direct proportion. In an inverse or indirect proportion, on the other hand, as one item increases, the other automatically declines. In the beginning, this may be confusing, but gradually as you start solving its problems on your own, it gets easier with every question.

2. How is downloading Class 8 RS Aggarwal Direct and Inverse Proportion solutions useful?

The prime reason to trust Vedantu for RS Aggarwal Class 8 solutions is precise answers, an organized format, and an excellent demonstration of solutions. Every student of Class 8 prefers this education portal for quality study material. And it’s not just quality study material, it is also free of cost. So that students from everywhere can download this PDF without facing any problems. Other than RS Aggarwal solutions, Vedantu also has other study material available to help the students understand and practice better.

3. What are the concepts included in Class 8 Maths inverse and direct proportions?

The chapter - Inverse and Direct Proportions from Class 8 Maths NCERT book cover the very basic principles of proportions. It explains to students what variation means. Adding to this, the chapter also discusses the meaning, definition, and formula of inverse and direct proportion, individually in brief. All these concepts are explained in very simple language with appropriate examples which helps the students to grasp the information quickly and efficiently.

4. How to score well in Class 8 Maths?

The only way to do well in math in Class 8 is to practice. Students must go through all of the exercises included in every chapter. This will boost your capacity to solve problems as well as your speed and efficiency. Important formulas, definitions, and equations can be written down in a notebook and reviewed regularly. Within a time limit, solve example papers and question papers from past years. Following this will help you grow accustomed to the paper format and question types while also improving your time management skills. In the end, revise frequently so that you can remember everything you've learned for a longer time.

5. Is it essential to solving all Class-8 Maths NCERT exercises?

If you plan on understanding the basic concepts of the chapter and scoring well on your exam, then it is necessary to solve all the back exercises from the Class-8 Maths NCERT book. The NCERT book serves as a foundation book for all those studying maths. It’s from where you start. NCERT, in past, has given several exact questions from the book in the exams as well. So, it’s always advisable to be completely prepared.