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RS Aggarwal Class 6 Solutions Chapter-10 Ratio, Proportion and Unitary Method

Last updated date: 17th Sep 2024
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Class 6 RS Aggarwal Chapter-10 Ratio, Proportion and Unitary Method Solutions - Free PDF Download

Vedantu is here to help you by providing you RS Aggarwal Class 6 Maths Chapter 10. The topic of Chapter 10 is a ratio, proportion, and unitary method. The chapter, Ratio, proportion, and unitary method mainly deals with questions on how to solve the ratios in simplest form and how one can use them on our day-to-day calculations.

The way the solutions are prepared by Vedantu’s top educators can be understood by the students with great ease. The stepwise solutions of every answer provide the student with enhanced insight into the chapter and help them to clarify the majority of their doubts. You can download the pdf of Chapter 10 Class 6 RS Aggarwal from Vedantu. You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in the CBSE board examination.

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for the better solutions ,can download Class 6 Maths NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

RS Aggarwal Solutions- Class 6 Maths Chapter 10 Solutions

RS Aggarwal Class 6 Chapter 10 Ratio, Proportion, and Unitary Method – Introduction to the Chapter

The students will start learning how to solve different types of questions related to ratio and proportion along with an introduction to what the unitary method is. The proportion can be understood by a statement that two ratios are equal, and a ratio indicates the number of times a number contains another. So, let's get started!!

Ratio

Definition: The comparison of two quantities using division is called Ratio. ":" is used to denote the ratio.

For example 5:2 (which is the same as 5/2)

Note: While finding the ratio, the unit of the 2 quantities must be the same.

Lowest Form of Ratio

Definition: When the numerator and denominator have no common factor other than 1, it is called the lowest form of a ratio.

For example: Find the lowest form of the ratio of 13:65.

13/65 = 1/5

Now 1 and 5 have no common factor other than 1.

Therefore, 1:5 is the lowest form of a ratio.

Proportion

Definition: When two ratios are equal, then it is called proportion.

a/b=c/d

It can be denoted in this way; a:b:: c:d

where, a and d = extremes

b and c = means

Formula: Product of extremes = Product of means

Some Sums on Ratio, Proportion, and Unitary Method

1. What is the ratio of the height of Harry and Ron if the height of Harry is 175 cm and Ron is 1.65m?

Solution:

Height of Ron= 1.65*100= 165cm

Ratio =  Hight of Harry/Height of Ron = $\frac{165}{175}$

= 33/35

= 33:35 (Ans)

2. Find the ratio 30 cm to 4 m is proportion to 25 cm to 5 m or not.

Solution:

4 m = 4 × 100 cm = 400 cm

The ratio of 30 cm to 400 cm is

30/400=3/40

= 3 : 40

5 m = 5 × 100 cm = 500 cm

A ratio of 25 cm to 500 cm is

= 1 : 20

Here, the two ratios are not equal so these ratios are not in proportion.

Hence, 3: 40 ≠ 1: 20 (Ans)

3. Priya can type 540 words in half an hour. How many words will she be able to type in 20 minutes with the same efficiency?

Solution:

Number of words typed in half an hour i.e. 30 min = 540 seconds

∴ Number of words typed in 1 min = 540/30=18

Number of words typed in 20 min = 20×18=360

Hence, Priya will be able to type 360 words in 20 minutes. (Ans)

4. A and B together can do a piece of work in 15 days, while B alone can finish it within 20 days. In how many days can A alone finish the work?

Solution:

Time is taken by (A + B) to finish the work = 15 days.

Time is taken by B alone to finish the work = 20 days.

(A + B)’s 1 day’s work = ¹/₁₅

B’s 1 day’s work = ¹/₂₀

A’s 1 day’s work = {(A + B)’s 1 day’s work} - {B’s 1 day’s work}

= (¹/₁₅ - ¹/₂₀) = (4 - 3)/60 = ¹/₆₀

Therefore, A alone can finish the work in 60 days. (Ans)

Preparation Tips

• Keep practicing mathematics every day for at least half an hour.

• Do not overexert yourself, take a short break after studying every 45 minutes.

• Start focusing on understanding the concepts.

• Start solving the exercise questions without any guidance from anyone.

• Try the questions at least 3 times if you are unable to solve them.

• Seek help from Vedantu’s solution to check your answers and solve the ones that you were unable to solve.

Conclusion

RS Aggarwal solutions Maths Class 6 Chapter 10 are easy to download and easy to understand for the students. Chapter 10 ratio and proportion is an interesting topic of study in mathematics. Vedantu is one of the best platforms that can assist a lot of students online. It has class-wise solutions that are provided by experts in the particular field of study that makes it a more trustworthy platform.

FAQs on RS Aggarwal Class 6 Solutions Chapter-10 Ratio, Proportion and Unitary Method

1. Where to find out Solutions to RS Aggarwal for Class 6 Chapter 10?

You can easily download RS Aggarwal Class 6 solutions Chapter 10 from Vedantu’s website free of cost. The Answers are provided by experts and have correct answers and are authentic. The solutions provided are easy to understand and are given in a proper step by step manner.

This makes it easier for the students to understand the solutions at every step and also find out at what step they have been making mistakes. So, start studying Vedantu's study material and solutions without giving it any second thought.

2. What is the basic concept of Ratio, Proportion, and Unitary Method?

The unitary method, in simple words, is used to calculate the value of a single unit from a specified multiple. If the cost of 40 pens is Rs. 400, how do you calculate the cost of one pen? The unitary approach can be used to accomplish this. Furthermore, once the value of a single unit has been determined, the value of the required units can be calculated by multiplying the single value unit. This approach is mostly used to calculate ratios and proportions.

3. Is Ratio, Proportion, and Unitary Method an easy topic in Mathematics?

Yes, it is easy if you solve it daily. Completing all of the chapter assignments is usually a good idea because they provide important practice. Math is not a subject that can be mastered solely via reading or memorization.

It necessitates a significant amount of effort and practise. There are examples and activities after each part of the NCERT textbook. After you've finished each lesson, go over the solved examples to make sure you've grasped everything.

Then go over the activities to see if you can figure out how to complete them. Because it's possible that the same questions will occur on the exam, students should practise the sums in the exercises thoroughly.

4. How can I prepare well for my Class 6 Maths exam?

Practice is the only thing that matters. The more you practise, the closer you will go to mathematical perfection. While your teacher is instructing you in class, try to focus and concentrate more. Also, if you attend Vedantu's tuition classes, make sure you comprehend and learn the concepts of each lesson. If you have a question, ask it at the same moment and don't be afraid to ask or clarify it. To mention this because We've seen children keep silent even when they are unsure because they are hesitant. If you agree, then ask any questions you have after the class. We will undoubtedly assist you in better understanding the subject.

5. How will Vedantu help you to study RS Aggarwal Solutions Maths Class 6 Chapter 10 (Ratio, Proportion, and Unitary Method Solutions) and Score Better Marks?

The study material and the solutions of every book are prepared by Vedantu’s top educators after extensive research. The solutions are made by the current CBSE guidelines. The materials are made in a way so that the students can easily grasp the concepts and develop a deep understanding of the chapter. This will help them significantly in their higher studies.

Vedantu to be deemed as one of the most premier and reputed online coaching institutes are not only trustworthy but also very reliable. Vedantu gives top priority to its students and helps them to achieve their goals in all possible ways.