RD Sharma Class 6 Solutions Chapter 9 – Ratio, Proportion, and Unitary Method Exercise 9.2 – Free PDF
FAQs on RD Sharma Class 6 Solutions Chapter 9 – Ratio, Proportion, and Unitary Method (Ex 9.2) Exercise 9.2
1. How do I find the correct solutions for all questions in RD Sharma Class 6 Maths Chapter 9, Exercise 9.2?
You can find detailed, step-by-step solutions for every question in Exercise 9.2 on this page. Each solution is prepared by our subject matter experts, following the CBSE guidelines for the 2025-26 session, to help you understand the correct method for solving problems on ratio, proportion, and the unitary method.
2. What is the first step to solve a word problem using the unitary method?
The first and most crucial step in the unitary method is to find the value of a single unit. For example, if the problem gives you the cost of 10 pens, your first step is to calculate the cost of 1 pen. This 'unit value' is then used to find the value of the required number of items.
3. How can I check if four numbers are in proportion, as required in Exercise 9.2 problems?
To check if four numbers (say a, b, c, and d) are in proportion, you must verify if the ratio of the first two is equal to the ratio of the last two. This is confirmed if the product of the 'extremes' (outer numbers) equals the product of the 'means' (inner numbers).
- The ratios are a : b and c : d.
- The extremes are a and d.
- The means are b and c.
- The numbers are in proportion if a × d = b × c.
4. Why is the method called the 'unitary method'?
It is called the 'unitary method' because the core of this technique involves finding the value of a single 'unit' first (where 'unitary' means 'of one'). By calculating the value of one item, you create a standard reference point. From this single unit value, you can then easily calculate the value for any required quantity by multiplication.
5. What is a common mistake to avoid when solving problems in Exercise 9.2?
A common mistake is mixing up the values during division or multiplication when applying the unitary method. For example, when finding the value of one unit from many, you must divide. When finding the value of many units from one, you must multiply. Always double-check which operation is needed based on the problem statement to ensure accuracy.
6. Are the methods in these RD Sharma solutions useful for my school exams?
Yes, absolutely. The solutions for RD Sharma Class 6 Chapter 9 are designed by experts to align perfectly with the CBSE 2025-26 syllabus and marking scheme. Practising these problems helps build a strong foundation in the unitary method and proportion, which are key topics for school exams, helping you to solve questions accurately and score higher marks.
7. When should I use the concept of proportion versus the unitary method?
Both methods solve similar problems, but their application can differ slightly.
- Use the proportion method when you are given four quantities and need to check if they form equivalent ratios (e.g., Is 2:4 proportional to 5:10?).
- Use the unitary method when you are given the value of a group of items and need to find the value of a different number of the same items (e.g., If 5 books cost Rs. 100, what is the cost of 8 books?). The unitary method is often more intuitive for solving word problems.
