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Class 7 RS Aggarwal Chapter-9 Unitary Method Solutions - Free PDF Download

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Class 7 RS Aggarwal Chapter 9 Solutions Free PDF Available on Vedantu

Probably, the most fundamental concept you have studied and is using for years is the unitary method. The use of this concept makes critical problems very easy to comprehend. The unitary method can help you calculate a price, time, distance, work, and anything instead of certain hints given in the problem. To make this foundation even better, you prefer solving RS Aggarwal Class 7 Maths Chapter 9 exercises. All these problems are concept-based.


To make this chapter easy to complete, download RS Aggarwal Solutions Class 7 Chapter 9 from Vedantu’s official website and refer to it to find the easiest explanation of the problems. You can refer to the solution, learn how to use the unitary method perfectly, and complete preparing the chapter in no time.


Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Register Online for NCERT Maths Class 7 and Class 7 Science tuition on Vedantu.com to score more marks in the CBSE board examination.

About RS Aggarwal Class 7 Chapter 9 solutions

The solutions for class 7 RS Aggarwal chapter 9 are easily available on Vedantu. They are quite helpful when it comes to studying for examinations and tests.  These notes are versatile and serve a lot of purposes.  The most common way you can make use of these notes is to study regularly and efficiently so that you can score good marks in your examination. You can access these notes from anywhere, once downloaded from the website and you can also make use of them to directly study or revise. Experts have created these solutions so that students of class 7 would easily understand every chapter without the help of anyone. 


Class 7 Chapter 9 - Unitary Method 

When you have the value of multiple units, and you are supposed to find the value of a single unit with the help of those multiple units,  the method that you use to come to the conclusion and find the answer is called the unitary method.  The same applies to situations or problems where you have the value of a single unit and you have to find the value of multiple units with the help of that single unit. These methods are very useful when it comes to solving questions on subjects and concepts like ratio and proportion, geometry and algebra, etc. 


The use of the unitary method is not limited to examinations and schools but the Horizon of this concept comes into use to everyone in their daily lives. Some examples of the uses of the unitary method in our daily life would be when we talk about speed,  or when we are talking about rate and percentage.  If you want to calculate the percentage of any sort of quantity,  a unitary method comes into use. 


Although as a subject, it is not very easy to understand and absorb which is why Vedantu provides RS  Aggarwal notes that help students understand the unitary method easily without draining them of their energy and will to learn. There are also different types of unitary methods,  like direct variation and indirect variation.  This will also be explained in the chapter with the help of the notes in a very easy and efficient way that will help students to learn better and make their recall even better during exams. To be very specific as to where unitary methods are used let's take a look at some of the examples-


A unitary method is used to find the ratio that exists between two specific quantities. Since we are finding ratios and proportions it is said to be the relationship between two specific ratios,  it will also be possible to find the missing value in a given proportion of two specific quantities. Some other examples of the use of unitary method application are below:

  1.  A unitary method is used when you have to find the speed of an object for a certain given distance if only the speed and the distance are given in specific different quantities.

  2.  The unitary method also comes into use when you have to find a certain number of people that are required to complete a certain given amount of work.

  3. Another area in which you can use the unitary method is to find a square’s area.  The only condition for that is if the square’s ratio of its area and side is given.

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FAQs on Class 7 RS Aggarwal Chapter-9 Unitary Method Solutions - Free PDF Download

1. What is the core principle of the Unitary Method as explained in RS Aggarwal Class 7 Chapter 9?

The core principle is to first find the value of a single unit. Once you determine the value of 'one', you can then find the value of the required number of units by multiplication. For example, if you know the cost of 5 pens, the unitary method helps you first find the cost of 1 pen, and then you can calculate the cost of 10 pens. This step-by-step approach is clearly demonstrated in the RS Aggarwal solutions.

2. How do the RS Aggarwal solutions for Chapter 9 help in solving complex Unitary Method problems?

The RS Aggarwal solutions for Class 7 Maths Chapter 9 are beneficial because they provide:

  • Step-by-step breakdowns for every problem in each exercise (9A, 9B, etc.).
  • Solutions for a wide variety of questions, ranging from simple to complex, which builds confidence.
  • Clear methods that help you identify whether a problem involves direct or inverse variation, which is a common point of confusion.
By practising with these solutions, you learn the correct format for presenting answers in exams as per the CBSE guidelines.

3. How important is the Unitary Method for Class 7 exams and future classes?

The Unitary Method is a foundational concept in mathematics with significant importance. In Class 7 exams, questions from this chapter are common. More importantly, this method is crucial for understanding advanced topics in later classes, such as:

  • Ratio and Proportion
  • Percentage
  • Time and Work problems
  • Speed, Distance, and Time calculations
Mastering it now makes future chapters much easier to grasp.

4. Why is it essential to first find the value of 'one unit' before solving the entire problem?

Finding the value of a single unit (the 'one') is the cornerstone of the Unitary Method because it provides a standard baseline for comparison. Without knowing the value of one unit, you cannot accurately scale the value up or down for a different quantity. This step simplifies the problem by breaking it down into two manageable parts: finding the value of one, and then finding the value of many. It eliminates confusion and provides a logical path to the correct answer.

5. Can the Unitary Method be applied to solve problems of inverse variation?

Yes, the Unitary Method is used for both direct and inverse variation, but the calculation step changes.

  • In direct variation (e.g., more articles, more cost), you divide to find the value of one unit and then multiply.
  • In inverse variation (e.g., more workers, less time), the relationship is opposite. To solve, if 10 men do a job in 5 days, you'd calculate the work for 1 man, which takes more time (10 x 5 = 50 days), and then divide to find the time for a different number of men.
The RS Aggarwal solutions provide clear examples of both types.

6. How is the Unitary Method different from simply using ratios to solve a problem?

The Unitary Method and Ratios are closely related but represent different approaches. The Unitary Method is a process: find the value of one, then multiply to find the required value. It is procedural and easy to follow. Ratios describe a relationship between two quantities. While you can solve many problems by setting up equivalent ratios, the Unitary Method often feels more intuitive for beginners as it breaks the problem down into a concrete intermediate step (the value of 'one').