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NCERT Solutions
Class 8
Maths
Chapter 7 Proportional Reasoning 1
Exercise 7.3

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.3

Mastering complex relationships between multiple variables is simple with our NCERT Solutions for Class 8 Maths Ch 7: Proportional Reasoning – Exercise 7.3. This exercise moves beyond simple pairs to "Compound Proportion," where one quantity depends on two or more others. You will learn how to handle scenarios involving workers, hours per day, and total days to complete a task.

Class 8 Math Lessons (Ch 7): Learn to Solve Complex Work and Time Problems with Ease! The solutions to Exercise 7.3 will be presented in a step-by-step approach to help students use the chain rule or table method for multiple variables. These solutions follow CBSE Guidelines to help you master problems related to industrial output, construction timelines, and resource management.

1.0Download NCERT Solutions for Class 8 Maths Chapter 7 Ex 7.3 : Free PDF

You can download our simple NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3 as a PDF. Ideal for rapid reference and offline study.

NCERT Solutions Class 8 Maths Chapter 7 Ex 7.3

Download PDF

2.0Key Concepts of Chapter 7 Proportional Reasoning 1 Exercise 7.3

  • Compound Proportion: A situation where a variable depends on the product or ratio of two or more other variables.
  • The Man-Day-Hour Formula: A standard tool for work problems:

W1​M1​D1​H1​​=W2​M2​D2​H2​​
(Where M = Men, D = Days, H = Hours, and W = Work).

  • Combined Variation: Understanding that work done is directly proportional to the number of workers and time, but time is inversely proportional to the number of workers for a fixed amount of work.

3.0NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 : All Exercises

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.1

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.2

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.3

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.4

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.3

  • Systematic Approach: Teaches students how to keep track of three or more variables without getting confused.
  • Real-world Utility: Essential for understanding project management and efficiency in professional fields.
  • Logical Reasoning: Sharpens the ability to identify multiple types of variations (Direct and Inverse) occurring in a single problem.

NCERT Class 8 Maths Ch. 7 Proportional Reasoning Other Exercises:-

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4


NCERT Solutions Class 8 Maths All Chapters:-

Chapter 1 - A Square and a Cube

Chapter 2 - Power play

Chapter 3 - A story of Numbers

Chapter 4 - Quadrilaterals

Chapter 5 - Number Play

Chapter 6 - We distribute, yet things multiply

Chapter 7 - Proportional Reasoning

Frequently Asked Questions

Simple proportion involves only two quantities (like Price and Quantity). Compound proportion involves three or more quantities (like Men, Days, and Length of a road).

Remember the rule: Work done is always the "result" and goes in the denominator. Everything else (Men, Days, Hours, Efficiency) goes in the numerator because they are the "resources" used to produce that result.

Yes. For a fixed amount of work, Hours per day and Total Days are in inverse proportion. If you work more hours each day, you will finish the job in fewer days.

Yes, but it takes many more steps. You would first find how much work 1 man does in 1 day, and then multiply/divide accordingly. The formula method is much faster and less prone to errors.

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