Easy Preparations with RD Sharma Class 8 Solutions Chapter 10

RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations (Ex 10.2) Exercise 10.2 - Free PDF

Free PDF download of RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations Exercise 10.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 10 - Direct and Inverse Variations Ex 10.2 Questions with Solutions for RD Sharma Class 8 Maths to help you to revise the complete Syllabus and Score More marks.

Easy RD Sharma Chapter 10.2 Direct and Inverse Solutions

When you are preparing for exams, you will need a good source of study material such as solved exercises and questions papers. You might prepare very well when your mind is at ease due to the presence of such resources. So, before you appear in any exam, you should make sure that you have studied the chapters, learned the mathematical concepts, solved all the exercise problems, and are familiar with the approaches. Vedantu can prove to be a great mentor for you as it will help you to focus on learning the different aspects of Direct and Inverse Variations easily.

With the help of Vedantu, you will be able to achieve all your academic goals, things which might otherwise seem hypothetical because you do not have the right study material or support system. All of your doubts would be cleared once you check and refer to the solved questions of this chapter.

Here, we have covered chapter 10 of RD Sharma's Class 8 Maths which is Direct And Indirect Variations. In this chapter, there are 2 exercises. The first exercise revolves around direct proportion and the second exercise revolves around the indirect proportion. After completing this chapter, you will be able to know what a relationship between two quantities is called.

Download the solution for the 10th chapter of Class 8 RD Sharma mathematics to enjoy studying at ease. Get to know the best approaches to solve these problems and learn how to score more in the upcoming exams.

FAQs on Easy Preparations with RD Sharma Class 8 Solutions Chapter 10

1. How do I identify whether a problem in RD Sharma Chapter 10 requires a direct or inverse variation solution?

To determine the correct approach, analyse the relationship between the two quantities in the problem. If both quantities increase or decrease together (e.g., more items purchased, higher total cost), it is a case of direct variation. Conversely, if one quantity increases while the other decreases (e.g., higher speed, less time to travel a fixed distance), it is an inverse variation. Correctly identifying this is the crucial first step for applying the right formula.

2. What is the correct method for solving a direct variation problem from RD Sharma Class 8?

To solve a direct variation problem methodically, follow these steps:

Identify the two quantities, let's call them 'x' and 'y', that are in direct proportion.
Set up the core relationship, which is x/y = k, where 'k' is the constant of proportionality.
For two sets of corresponding values (x₁, y₁) and (x₂, y₂), the equation becomes x₁/y₁ = x₂/y₂.
Substitute the three known values into this equation to find the single unknown value. This step-by-step process ensures accuracy for all exercises in RD Sharma.

3. What is the step-by-step process for solving an inverse variation question in RD Sharma Chapter 10?

For inverse variation questions, the correct step-by-step process is as follows:

First, confirm that as one quantity 'x' increases, the other quantity 'y' decreases.
The mathematical relationship is defined by the formula x × y = k (constant).
When comparing two scenarios, the equation to use is x₁y₁ = x₂y₂.
Place the given values into this equation and perform the calculation to solve for the missing variable. Following this method is essential for solving the inverse proportion problems in the book.

4. Why is it beneficial to solve every question from RD Sharma Class 8 Chapter 10, and not just the NCERT exercises?

While NCERT builds the core foundation, RD Sharma provides a much wider range of problems with varying levels of difficulty. Systematically solving every question in Chapter 10 helps you master the application of direct and inverse variation in diverse contexts. This extensive practice is crucial for improving problem-solving speed, tackling Higher Order Thinking Skills (HOTS) questions, and building the confidence needed to excel in school examinations.

5. How do the solutions for RD Sharma Chapter 10 help with complex, multi-step variation problems?

RD Sharma often features complex problems that may combine direct and inverse relationships or involve multiple variables. The detailed solutions are valuable because they demonstrate how to:

Break down a complicated word problem into smaller, manageable parts.
Accurately set up the initial equation, which is the most critical step.
Use the constant of proportionality (k) to connect different conditions within the same problem.
Present a logical, clear pathway from the given data to the final answer, a skill vital for advanced mathematics.

6. What is a common mistake students make when solving time, work, and speed problems using variation?

A frequent error is misidentifying the type of variation. For instance, students might incorrectly treat speed and time as a direct variation, but they are inversely proportional (higher speed means less time for a fixed distance). Similarly, in work problems, the number of workers and the time taken are in inverse variation, while the number of workers and the amount of work done in a fixed time are in direct variation. The RD Sharma solutions help clarify these specific nuances with targeted examples.

7. Are the RD Sharma Class 8 solutions for Direct and Inverse Variations aligned with the 2025-26 CBSE syllabus?

Yes, the concepts, formulas, and problem types for Direct and Inverse Variations in RD Sharma Chapter 10 are fully aligned with the Class 8 Maths syllabus prescribed by CBSE for the 2025-26 academic year. Using these solutions provides extensive practice on the core topics outlined in the official curriculum, ensuring you are well-prepared for your exams.