RD Sharma Class 8 Solutions - Learn Class 8 Maths Free PDF download from Vedantu
FAQs on RD Sharma Class 8 Solutions
1. What are the key concepts covered in the RD Sharma Class 8 solutions for Chapter 10, Direct and Inverse Variations?
The solutions for this chapter provide detailed explanations for all core concepts as per the latest 2025-26 CBSE syllabus. Key topics include:
Defining and identifying direct variation (or direct proportion).
Understanding and applying the concept of inverse variation (or inverse proportion).
Solving problems related to time and work, speed and distance, and other real-world scenarios using these variations.
Calculating the constant of proportionality in both direct and inverse cases.
2. What is the correct step-by-step method to solve a problem on direct variation using the RD Sharma solutions?
The RD Sharma Class 8 solutions break down problems on direct variation into simple, logical steps: First, identify the two quantities that are in direct proportion (e.g., if one increases, the other also increases). Second, set up the relationship as x/y = k, where k is the constant of proportionality. Third, use the given values to find the value of k. Finally, use this constant 'k' to find the unknown value in the problem. Each step is clearly explained to ensure you understand the method, not just the answer.
3. How do the RD Sharma solutions for Chapter 10 help in solving complex word problems?
The solutions are designed to build problem-solving skills. For complex word problems on direct and inverse variations, they guide you on how to: read the problem carefully to identify the relationship between the quantities, translate the word problem into a mathematical equation, choose the correct formula for either direct (x₁/y₁ = x₂/y₂) or inverse (x₁y₁ = x₂y₂) variation, and execute the calculation step-by-step to arrive at the correct answer accurately.
4. Why is it crucial to identify if a relationship is a direct or inverse variation before solving a question?
Identifying the type of variation is the most critical first step because it determines the entire approach to the solution. If you misidentify an inverse variation as a direct one, you will use the wrong formula and get an incorrect answer. The solutions emphasize checking whether one quantity increases while the other decreases (inverse) or if they both move in the same direction (direct), which is fundamental to solving the problem correctly.
5. Can the concepts from Chapter 10 be applied to other chapters in Class 8 Maths?
Yes, absolutely. The principles of direct and inverse proportion are foundational and appear in various other topics. For instance, problems related to 'Time and Work' or 'Speed, Distance, and Time' often rely heavily on inverse variation. Understanding this chapter thoroughly, with the help of detailed solutions, builds a strong base for tackling such application-based questions in other chapters and higher classes.
6. What makes the RD Sharma textbook a good choice for practising Direct and Inverse Variations?
The RD Sharma textbook is highly recommended for this chapter because it offers a wide variety of questions that build from basic to advanced levels. It includes numerous word problems and real-life scenarios that challenge students to apply concepts. This extensive practice, supported by clear solutions, helps solidify the understanding of direct and inverse proportion, ensuring students are prepared for any type of question in their exams.
7. How can I verify if my answer to an inverse variation problem is correct?
For an inverse variation problem, the product of the two corresponding quantities must always be a constant (x × y = k). After finding your answer, you can perform a quick check: First, multiply the initial pair of given values. Then, multiply the value you calculated with its corresponding quantity. If both products are the same, your answer is very likely correct. This method of verification is a key problem-solving skill reinforced by following the detailed RD Sharma solutions.

















