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RS Aggarwal Solutions

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

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

Q: 3. Why is it important to check the intermediate steps in the solutions, not just the final answer?

In topics like Ratio and Proportion, the methodology is crucial for marks and understanding. Checking only the final answer might not reveal a conceptual misunderstanding. The step-by-step solutions demonstrate the correct way to set up a ratio, verify a proportion (product of means = product of extremes), and apply the unitary method. Following these steps helps build a logical approach that can be applied to any problem in the exam.

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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

Hence, ad = bc

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. What is the best way to use the RS Aggarwal Class 6 Maths Solutions for Chapter 10?

The most effective method is to first attempt the problems from the textbook on your own. Afterwards, use the solutions to verify your answers and, more importantly, to understand the step-by-step process. This helps you identify precisely where you might have made an error and reinforces the correct methodology for solving problems on ratio, proportion, and the unitary method as per the CBSE guidelines.

2. What are the key topics covered in the exercises of RS Aggarwal Class 6 Chapter 10?

The solutions for Chapter 10 systematically cover all core concepts through its exercises. Typically, you will find:

Exercise 10A: Focuses on the basics of finding ratios between two quantities and expressing them in their simplest form.
Exercise 10B: Deals with the concept of proportion and how to check if two ratios are proportional.
Exercise 10C: Introduces and applies the unitary method to find the value of a single unit and then multiple units.
Exercise 10D: Contains a mix of more complex word problems that require the combined application of ratio, proportion, and the unitary method.

3. Why is it important to check the intermediate steps in the solutions, not just the final answer?

In topics like Ratio and Proportion, the methodology is crucial for marks and understanding. Checking only the final answer might not reveal a conceptual misunderstanding. The step-by-step solutions demonstrate the correct way to set up a ratio, verify a proportion (product of means = product of extremes), and apply the unitary method. Following these steps helps build a logical approach that can be applied to any problem in the exam.

4. What common mistakes should be avoided when solving problems from RS Aggarwal Class 6 Maths Chapter 10?

Students often make a few common errors. When using the solutions to check your work, watch out for:

Incorrect Order: The order in a ratio is critical. A ratio of A to B is different from B to A.
Inconsistent Units: Always ensure quantities are in the same unit (e.g., convert metres to centimetres) before forming a ratio.
Unitary Method Error: A frequent mistake is mixing up multiplication and division. Remember to find the value of 'one' unit first by dividing, then find the value of the required units by multiplying.

5. How should I tackle a difficult word problem in Chapter 10 on Ratio and Proportion?

For complex word problems, follow a structured approach. First, read the problem carefully to identify the given values and what needs to be calculated. Break it down to determine if it requires finding a ratio, checking proportion, or using the unitary method. Write down the relationship between quantities clearly, form the correct equation, and solve it step-by-step. Using the provided solutions can help you verify if your approach was correct.

6. How does mastering the unitary method in Chapter 10 help in real-life situations?

The unitary method is a highly practical skill. Mastering it helps you perform everyday calculations efficiently, such as finding the unit price of an item when grocery shopping, calculating a vehicle's fuel efficiency (e.g., km per litre), or estimating costs for projects. It builds a strong foundation for understanding more advanced financial concepts you will encounter later.

7. How do the solutions for RS Aggarwal Chapter 10 align with the CBSE Class 6 syllabus for 2025-26?

The RS Aggarwal Chapter 10 solutions are fully aligned with the Class 6 Maths syllabus prescribed by CBSE for the 2025-26 academic year. They provide detailed methods for all key syllabus topics, including the concept of ratio, understanding proportion as an equality of ratios, and the application of the unitary method in solving practical problems, ensuring comprehensive exam preparation.