RS Aggarwal Solutions Class 8 Chapter-12 Direct and Inverse Proportions (Ex 12C) Exercise 12.3 - Free PDF
FAQs on RS Aggarwal Solutions Class 8 Chapter-12 Direct and Inverse Proportions (Ex 12C) Exercise 12.3
1. Where can I find clear, step-by-step solutions for RS Aggarwal Class 8 Maths Chapter 12, Exercise 12C?
Vedantu provides accurate and easy-to-follow solutions for every question in RS Aggarwal Class 8 Maths, Chapter 12 (Direct and Inverse Proportions), Exercise 12C. Our subject matter experts have prepared these solutions to help you understand the correct method for solving each problem as per the 2025-26 CBSE curriculum.
2. What is the fundamental method for solving problems in RS Aggarwal Exercise 12C?
The core method for solving any problem in this exercise is a two-step process:
- First, you must read the problem carefully to identify the relationship between the two quantities. Decide if they are in direct proportion (when one increases, the other increases) or inverse proportion (when one increases, the other decreases).
- Second, apply the correct formula. For direct proportion, use the relation x₁/y₁ = x₂/y₂. For inverse proportion, the correct relation is x₁y₁ = x₂y₂. Finally, substitute the known values to find the unknown.
3. How can I quickly differentiate between a direct and an inverse proportion word problem in this chapter?
To easily distinguish between the two, ask a simple logical question: "If the first quantity increases, what will happen to the second?"
- If the second quantity also increases (e.g., more articles cost more money), it is a case of direct proportion.
- If the second quantity decreases (e.g., more people take less time to finish a job), it is a case of inverse proportion.
4. What is a common mistake students make while solving questions from Chapter 12, Exercise 12C?
The most frequent mistake is misidentifying the type of proportion. Many students apply the direct proportion formula to an inverse proportion problem, or vice versa, leading to an incorrect answer. For instance, in problems about speed and time for a fixed distance, increasing the speed will decrease the time, making it an inverse proportion. Always analyse the relationship first.
5. Why is a step-by-step approach crucial for solving problems on direct and inverse proportions?
A step-by-step approach is crucial because it builds conceptual clarity and reduces errors. It helps you to:
- Systematically identify the variables involved in the problem.
- Logically determine whether the relationship is direct or inverse.
- Choose and apply the correct mathematical formula (x/y = k or xy = k).
- Ensure calculation accuracy and present the answer in a structured manner, which is important for scoring full marks in exams.
6. How can solving RS Aggarwal Exercise 12C help in understanding real-life applications of proportions?
The problems in Exercise 12C are designed to model real-world scenarios. By solving them, you learn to apply the concepts of direct and inverse proportions to practical situations like:
- Calculating the time required for a journey at different speeds.
- Determining the amount of work done by a group of people over time.
- Estimating the provisions required for a certain number of people for a certain duration.
