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

Mastering the logic of opposite variations is simple with our NCERT Solutions for Class 8 Maths Ch 7: Proportional Reasoning – Exercise 7.2. In this exercise, we move from direct relationships to Inverse Proportion. This occurs when an increase in one quantity leads to a proportional decrease in the other, and vice versa.

Class 8 Math Lessons (Ch 7): Learn to Solve Inverse Variation Problems with Ease! The solutions to Exercise 7.2 will be presented in a step-by-step approach to help students apply the formula $x_1{y}_1=x_2{y}_2$. These solutions follow CBSE Guidelines to help you master problems related to work-time efficiency, speed-time relationships, and sharing resources among varying numbers of people.

1.0Download NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 Ex 7.2 : Free PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.2 are available for download as a PDF. Perfect for offline study and quick reference.

2.0Key Concepts of Chapter 7 Proportional Reasoning 1 Exercise 7.2

• Understanding Inverse Proportion: Two quantities x and y are in inverse proportion if an increase in x causes a proportional decrease in y such that their product xy remains constant (k).
• The Constant Product: Unlike direct proportion where the ratio is constant, here $x\times y=k$.
• Speed and Time: For a fixed distance, if speed increases, the time taken decreases. This is a classic example of inverse variation.
• Work and People: If the amount of work is constant, increasing the number of workers will decrease the time required to finish the task.

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

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.2

• Conceptual Clarity: Helps students distinguish between "more leads to more" (Direct) and "more leads to less" (Inverse).
• Logical Structuring: Teaches the table method to organize data before choosing a formula.
• Exam Readiness: Covers common "work-men" problems that are frequently asked in competitive exams like the SAT or Olympiads.