Chapter 9: Ratio, Proportion and Unitary Method
RD Sharma Class 6 Maths Solutions Chapter 9: Ratio, Proportion and Unitary Method
Understanding Ratio, Proportion, and Unitary Method is essential for building a strong foundation in mathematics. This chapter in RD Sharma Class 6 introduces students to comparing quantities, solving real-life problems, and developing logical thinking. These solutions are designed to help students grasp concepts easily and improve problem-solving skills. Students can get chapter-wise RD Sharma solutions for class 6 Maths prepared by the Myclass24 team.
Find the PDF of all the exercise of Chapter 9: Ratio, Proportion and Unitary Method
Introduction to Ratio
A ratio is a way of comparing two quantities of the same kind using division. It is written in the form a : b.
Key Points:
Ratio compares quantities with the same units.
It can be simplified just like fractions.
Order matters in a ratio.
Example:
If there are 10 boys and 5 girls in a class, the ratio of boys to girls is:
10 : 5 = 2 : 1
Types of Ratios:
Equivalent Ratios: Ratios that represent the same value.
Simplified Ratios: Ratios reduced to their lowest form.
Understanding Proportion
A proportion states that two ratios are equal.
If a : b = c : d, then a, b, c, and d are in proportion.
Important Concept:
Cross multiplication helps verify proportions:
a × d = b × c
Example:
2 : 4 = 3 : 6
Check:
2 × 6 = 12 and 4 × 3 = 12 → Equal, so they are in proportion.
Continued Proportion:
When three quantities are in proportion:
a : b = b : c
Unitary Method Explained
The unitary method is used to find the value of a single unit and then calculate the required value.
Steps:
Find the value of one unit.
Multiply by the required number of units.
Example:
If 5 pens cost ₹50, find the cost of 1 pen:
Cost of 1 pen = 50 ÷ 5 = ₹10
Cost of 8 pens = 10 × 8 = ₹80
Importance of Ratio, Proportion and Unitary Method
These concepts are widely used in daily life:
Calculating prices and discounts
Cooking recipes
Sharing quantities
Speed and distance problems
Mastering these topics improves analytical skills and helps in higher-level mathematics.
Step-by-Step Solutions Approach
When solving questions from this chapter, follow a structured approach:
For Ratio Problems:
Ensure units are the same Simplify the ratio Write clearly in a : b form For Proportion Problems: Use cross multiplication Check equality carefully,Solve for unknown variables
For Unitary Method:
Always find value of one unit first
Multiply accordingly
Common Mistakes to Avoid
Mixing different units (e.g., cm and m)
Not simplifying ratios
Incorrect cross multiplication
Skipping the unitary step
Being careful with these mistakes ensures accurate answers.
Practice Tips for Students
Practice daily examples to build confidence
Understand the concept rather than memorizing
Solve word problems for better clarity
Revise formulas regularly
Consistent practice helps students score better in exams and understand real-life applications.
Benefits of Using These Solutions
Clear explanations for every problem
Step-by-step guidance
Helps in homework and revision
Builds conceptual clarity
These solutions are designed in a student-friendly manner to make learning enjoyable and effective.