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RD Sharma Solutions

RD Sharma Class 6 Maths Solutions Chapter 9 - Ratio, Proportion and Unitary Method

RD Sharma Class 6 Maths Solutions Chapter 9 - Ratio, Proportion and Unitary Method

Q: 6. Why is it crucial to check if the quantities are in the same unit before calculating a ratio, as demonstrated in these solutions?

It is crucial because a ratio is a comparison of two like quantities. Comparing a length in metres to another in centimetres without conversion is not a valid comparison. The solutions always emphasise converting all quantities to a common unit first (e.g., converting both to centimetres). This ensures the comparison is accurate and the resulting ratio is a pure, unit-less number that correctly represents the relationship between the quantities.

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RD Sharma Solutions for Class 6 Maths Chapter 9 - Ratio, Proportion and Unitary Method - Free PDF Download

A ratio shows how many times another number includes one. A proportion is essentially an assertion that two ratios are equivalent. The method by which we find the value of one unit first and then the value of the number of units needed is known as the unitary method. We find a lot of applications of ratio and proportion in our daily life such as finding the ratio of the height of students in the class, finding the ratio of a number of students studying Math. So RD Sharma Class 6 Math Chapter 9 Ratio, Proportion and Unitary Method is an important chapter for students to understand.

The solutions will definitely help students to secure good marks in the exam as they are carefully prepared to make the students understand the concepts in an easy way. The RD Sharma Solutions For Class 6 Math Chapter 9 also has a lot of exercise problems for students to practice and ace their exams. Students can download the free PDF of RD Sharma Class 6 Math Chapter 9 solutions to important questions from the Vedantu platform.

Ratio, Proportion and Unitary Method is the ninth chapter in the concept of mathematics Class 6 by RD Sharma. This chapter covers ratio, proportion and unitary methods in detail. Chapter 9 of RD Sharma Solutions for Class 6 Math is designed to give children a good start in their Math career. The chapter deals with all three methods (Ratio, proportion and Unitary) that are essential elements of the Standard 6 math syllabus for CBSE schools. Most schools include this chapter in the curriculum for standard 6th students as it helps them to understand ratio, proportion and unitary methods clearly, thereby aiding them to accomplish better scores for this chapter in their annual examination revision.

Students start solving numerous varieties of ratio and proportion questions with the help of this comprehensive and helpful guide. The chapter begins by defining that a ratio is merely a pair of two quantities related to each other by a constant multiplier. The following content will cover the law of proportion, different forms of proportions, and ways to solve them. Moving further on, the unitary approach to solving problems involving ratios and proportions will be introduced in the latter part of the chapter.

Class 6 RD Sharma Textbook Solutions Chapter 9 - Ratio, Proportion and Unitary Method

Chapter 9: Ratio, Proportion and Unitary Method Covers:

Definition of Ratio + examples
Definition of proportion + examples
Unitary Method

List of Exercises in Chapter 9: Ratio, Proportion and Unitary Method Covers:

Exercise 9.1 - 12 Questions
Exercise 9.2 - 03 Questions
Exercise 9.3 - 12 Questions
Exercise 9.4 - 15 Questions

Tips to Prepare for Exams Using RD Sharma Solutions For Class 6 Maths Chapter 9

These tips will help students to score good marks in their board exams by referring to RD Sharma solutions.

Read the questions carefully while attempting the questions from ratio and proportion. Students get confused about the ratio and proportion and will end up with the wrong answer. So understanding the question carefully will avoid this issue.
When attempting to solve descriptive questions data has to be collected carefully, small mistakes in collecting data will give us the wrong answer.
Cross multiplication of terms on either side has to be done carefully.

Conclusion

The RD Sharma Solutions Class 6 Ratio Proportion and Unitary Method are carefully prepared by the Vedantu faculty who have a lot of experience and subject knowledge. These solutions will definitely help students to understand the concepts in a fun and enjoyable way. Vedantu provides free PDF solutions to RD Sharma Chapter 9 Ratio Proportion and Unitary Method along with a lot of exercise and practice problems so that students can sit for their exams with more confidence.

FAQs on RD Sharma Class 6 Maths Solutions Chapter 9 - Ratio, Proportion and Unitary Method

1. How do Vedantu's RD Sharma Solutions for Class 6 Maths Chapter 9 help with exam preparation?

Vedantu's RD Sharma Solutions for Class 6 Maths Chapter 9 are designed to help students master the concepts for their exams. They provide step-by-step explanations for every problem in the textbook, ensuring students understand the correct method to solve questions on Ratio, Proportion, and the Unitary Method. By practising with these solutions, students can build confidence, improve their problem-solving speed, and learn how to present answers clearly to score higher marks.

2. What is the correct way to present a solution for a proportion problem to get full marks in exams?

To get full marks for a proportion problem, you should follow the method shown in the solutions, which aligns with the CBSE pattern. The key steps are:

Clearly state the given ratios.
Set up the proportion correctly, for example, a : b :: c : d.
Apply the rule: Product of extremes = Product of means (a × d = b × c).
Show the calculation to find the unknown value.
Write the final answer clearly with the correct units, if applicable.

3. How is the unitary method applied step-by-step in the solutions for RD Sharma Class 6 Chapter 9?

The unitary method is a technique to solve problems by first finding the value of a single unit. The solutions in Chapter 9 demonstrate this in two main steps:

Step 1: Find the value of one unit. If the value of many items is given, you divide to find the value of one item (e.g., if 10 pencils cost ₹50, the cost of 1 pencil is ₹50 ÷ 10 = ₹5).
Step 2: Find the value of the required units. You then multiply the value of the single unit by the number of units you need to find (e.g., the cost of 7 pencils would be ₹5 × 7 = ₹35).

4. What are some common mistakes students make in Ratio and Proportion problems, and how do these solutions help to correct them?

Students often make small errors that can lead to incorrect answers. Common mistakes include:

Inconsistent Units: Forgetting to convert quantities to the same unit before finding a ratio (e.g., comparing metres and centimetres directly).
Incorrect Order: Mixing up the order of terms when writing a ratio or setting up a proportion.
Simplification Errors: Not reducing the ratio to its simplest form.

Vedantu's RD Sharma solutions explicitly show the unit conversion and the correct setup for each problem, helping students identify and avoid these common pitfalls.

5. How do the word problems in RD Sharma Chapter 9 build a foundation for real-world applications of ratios?

The word problems in Chapter 9 are crucial as they teach you to translate real-life scenarios into mathematical expressions. By solving problems related to map scales, recipe ingredients, or comparing speeds, you learn how ratio and proportion are used to make comparisons and decisions in everyday life. This builds a strong conceptual foundation for more advanced topics and practical problem-solving skills.

6. Why is it crucial to check if the quantities are in the same unit before calculating a ratio, as demonstrated in these solutions?

It is crucial because a ratio is a comparison of two like quantities. Comparing a length in metres to another in centimetres without conversion is not a valid comparison. The solutions always emphasise converting all quantities to a common unit first (e.g., converting both to centimetres). This ensures the comparison is accurate and the resulting ratio is a pure, unit-less number that correctly represents the relationship between the quantities.