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Class 8 Maths Chapter 7 NCERT Solutions: Proportional Reasoning – Stepwise Answers & PDF

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How to Write Stepwise Solutions for Proportional Reasoning in Class 8 Maths

Struggling with ratios and proportions? Our NCERT Solutions for Class 8 Maths Chapter 7 make proportional reasoning super clear with step-by-step, exercise-wise explanations tailored to the 2025–26 CBSE syllabus.


Every question is solved so you understand not just the answer, but the method—just like in exam marking. Get exam-oriented, textbook-based practice with easy-to-download free PDF for all Class 8 Maths Chapter 7 solutions and clear key definitions and formulae for perfect scores.


Whether you’re preparing for assessments or quick revision, these stepwise answers and secondary resources are designed to help you feel confident, avoid common mistakes, and stay fully aligned with CBSE’s marking schemes for Proportional Reasoning.


How to Write Stepwise Solutions for Proportional Reasoning in Class 8 Maths

Exercise Solutions – NCERT Solutions Class 8 Maths Chapter 7 Proportional Reasoning – I (2025-26)

1. Answer the following questions in about 30 words.


1. What are the factors of production?


Answer: The factors of production are resources or inputs used to produce goods and services. In economics, these are classified as land (natural resources), labour (human resources), capital (money and human-made resources), and entrepreneurship. Technology acts as a facilitator enabling efficient production.


2. How are these factors interconnected?


Answer: These factors complement and rely on each other in the production process. For example, entrepreneurship brings land, labour, and capital together. Technology can further improve the combination. If one factor is missing, production becomes inefficient or stops.


3. What is the role of human capital in production, and what are its facilitators?


Answer: Human capital refers to the knowledge, skills, and experience of people involved in production. Education, training, healthcare, and positive social and cultural influences are facilitators that help in developing and enhancing human capital for efficient production.


2. Answer the following questions in about 150 words.


1. Explain how land, labour, capital, entrepreneurship, and technology combine in a real-world business scenario.


Answer: In a business like a restaurant, land is the physical location used, labour is the staff working (cooks, helpers, servers), capital includes monetary resources and tools like kitchen equipment and furniture, and entrepreneurship lies in the owner organising all these to deliver food and service to customers. Technology helps with tasks like digital payments or online marketing. All factors must work together; for instance, having land and capital without skilled labour, or entrepreneurship without capital, will make the business struggle or remain uncompetitive. If technology is introduced, such as digital ordering systems, the business can become more efficient. Thus, a balance and integration among these factors is necessary for real-world production and business growth.


2. How does technology change the proportion of factors used in production?


Answer: Technology can increase efficiency and reduce dependence on some factors, especially labour. For example, with advanced machines or digital tools, the need for physical labour may decrease, and productivity rises. In agriculture, machines reduce manual effort. In education, online learning platforms make skill development accessible from anywhere. Sometimes, technology creates new demands for skilled workers. Therefore, technology can shift the balance from labour-intensive to capital- or technology-intensive processes, but optimal use of all factors ensures sustained production and growth.


3. Why is it important to use natural resources responsibly during production?


Answer: Natural resources or land are limited and essential for continued production and life. Overuse or careless exploitation leads to resource depletion, pollution, and environmental damage, affecting biodiversity and health. Producers must minimise waste and adopt sustainable practices to preserve resources for future generations. Responsible use includes recycling, environmentally-safe disposal, and applying technologies that reduce impact. Following responsible production supports society, complies with environmental regulations, and can even enhance a business’s reputation.


3. Match the following.


Questions Answer
1. Land (A) Soil, water, minerals
2. Labour (D) Human effort and skills
3. Capital (C) Machinery, tools, money
4. Entrepreneurship (B) Organisation and risk-taking

4. Think like an economist. As Ratna, what would you do if:


  • Rent suddenly doubles: I would review my costs, consider negotiating with the landlord, see if raising prices is feasible, or look for a less expensive location. Careful analysis of how it affects profits is important.
  • A helper quits: I would check if remaining staff can share the workload or hire a replacement, potentially with a higher salary if necessary to fill the gap quickly.
  • You get a loan for better technology: I would use the loan to upgrade equipment, which can improve speed, quality, and efficiency, attracting more customers and boosting revenue.
  • Another restaurant opens nearby: I would ensure food quality, service, and customer satisfaction remain high, possibly introduce new dishes or discounts, and focus on my restaurant’s unique strengths to retain and attract customers.
  • What government laws or rules could improve the ease of doing business: Simple registration, clear tax policies, easy loan access, and infrastructure support can make it easier for small businesses to operate and grow.


Understanding Factors of Production in Economics

Mastering factors of production is key for Class 8 students aiming to build strong foundations in economics. By learning about land, labour, capital, and entrepreneurship, you gain insights into how goods and services are created in the real world.


This chapter also highlights the role of technology and human capital in production. Reviewing NCERT theory and practice questions regularly will sharpen your understanding for exams and daily life scenarios.


For exam success, focus on the meaning and interdependence of each factor. Practice by relating these concepts to businesses around you and strengthen your revision for quick recall and confidence in assessments.


FAQs on Class 8 Maths Chapter 7 NCERT Solutions: Proportional Reasoning – Stepwise Answers & PDF

1. What are NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I, and why are they important for CBSE exams?

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I provide detailed, stepwise answers to all textbook exercises, fully aligned with the CBSE 2025–26 pattern. Using these Vedantu solutions is crucial, as they help you understand proportional reasoning concepts, reinforce exam-style answering, and ensure scoring full marks by following the exact marking scheme recommended by CBSE.

2. How can I use Vedantu's NCERT Solutions for Class 8 Maths Chapter 7 to master stepwise answers and score full marks?

To score full marks in CBSE exams, practicing stepwise answers from Vedantu's NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I is highly effective.

  • Read the question and understand all requirements before starting.
  • Write each calculation and step in sequence, explaining logic when necessary.
  • Highlight key formulae and final answers.
  • Ensure neat presentation, as per CBSE patterns.
  • Cross-check your answers with Vedantu's model solutions for accuracy.

3. Where can I download the exercise-wise PDF of NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I for free?

You can freely access and download the exercise-wise PDF of NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I directly from Vedantu. These downloadable PDFs are updated for the latest CBSE syllabus so you can prepare effectively offline whenever needed.

4. Are diagrams or definitions mandatory in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I?

Including clear definitions and neat diagrams in your NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I often adds value and helps secure additional marks. For questions requiring explanations, precise definitions ensure accuracy, while properly labelled diagrams demonstrate understanding, following CBSE guidelines.

5. What are the most important topics and definitions in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I?

Understanding the important topics in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I is essential for board exams. Key areas include:

  • Definition and identification of proportions.
  • Solving direct and inverse proportion problems.
  • Application of ratios in real-life scenarios.
  • Stepwise solutions for word problems.

6. How should I structure long answers for NCERT Solutions for Class 8 Maths Chapter 7 to align with the CBSE marking scheme?

To align long answers with the CBSE marking scheme using NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I, follow these steps:

  1. Write a brief introduction or definition relevant to the topic.
  2. Break the answer into logical steps, clearly explaining each calculation or reasoning.
  3. Support your solution with diagrams or examples when asked.
  4. Conclude with the final answer, highlighting it as per CBSE practice.

7. Do examiners award partial marks for correct steps in NCERT Solutions for Class 8 Maths Chapter 7, even if the final answer is incorrect?

CBSE examiners generally award partial marks if your steps and approach in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I are correct, even if the final answer is wrong. Demonstrating the right procedure and logical progression can help maximize your score according to the CBSE step-marking policy.

8. How can I revise NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I quickly before exams?

Efficient revision of NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I is possible with a structured plan:

  • Review Vedantu's quick notes and summary sheets daily.
  • Practice important exercise questions and formulas.
  • Attempt sample and previous years' questions for exam-style experience.
  • Use flashcards or a 1-day to 7-day planner for timed revisions before tests.

9. What are common mistakes to avoid in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I?

Avoiding common errors in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I helps you score better:

  • Do: Read each question twice, show all steps, and check ratios and units.
  • Don't: Skip definitions, ignore diagram labels, or leave calculation steps unexplained.

10. Are NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I on Vedantu sufficient for exam preparation?

For most CBSE school exams, Vedantu's NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I are comprehensive and strictly follow the syllabus. However, for complete mastery, combine them with regular practice, Vedantu's revision sets, and exemplar problems to handle advanced or application-based questions by the board.

11. How do I label diagrams and present maps in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I to secure easy marks?

Neately labelled diagrams and maps in NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I are rewarded by CBSE evaluators. Use pencils for diagrams, write labels outside figures, keep lines straight, and use correct conventions as shown in Vedantu's solutions to maximize your score for presentation.

12. Are references to textbook page numbers helpful when revising Vedantu NCERT Solutions for Class 8 Maths Chapter 7?

Including textbook page numbers while revising Vedantu NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning - I helps you quickly locate explanations, cross-reference concepts, and ensure you don't miss important intext or back exercise problems during exam prep.