# NCERT Solutions for Class 6 Maths Chapter 12 – Ratio and Proportion

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion are prepared by our skilled Maths teachers on the basis of the latest CBSE Class 6 Maths Syllabus. Our NCERT Solutions are presented step by step and cover all topics and sub-topics from NCERT Class 6 Maths Chapter 12. They are prepared in a clear language so that you can understand difficult concepts easily. CBSE NCERT Class 6 Maths Chapter 12 comprises of 3 exercises and 31 questions in total.

Our NCERT Solutions for Ratio and Proportion consists of all the answers for all the 3 exercises. Some of the topics covered in our NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion are the introduction of ratios and proportions, the difference between fractions and ratios, the same ratio in a different situation, comparing quantities using ratios, equivalent ratios, unitary method, proportions, and uses of ratio and proportion. They give you a good amount of practice to become thorough with the chapter and score more marks in your exams.

NCERT CBSE Class 6 Maths Chapter 12 is comprehensive yet to the point. The NCERT exercises of the chapter cover all possible question types that can be asked in CBSE exams. With our NCERT Solutions at your disposal, you can learn the concepts faster. They are the best study material for solid exam preparation and knowledge enhancement. They are just what you need to gain confidence in a tricky chapter like ratio and proportion.

## NCERT CBSE class 6 maths chapter 12

NCERT Class 6 Maths Chapter 12 – Ratio and Proportion give a detailed description of the fundamental concepts of ratios. A comprehensive understanding of this particular chapter is essential for you to understand complex mathematical problems in higher classes. Below is the list of the topics covered under this chapter.

**Introduction to ratio and proportion**

Instasolv’s NCERT Solutions for Class 6 Maths Chapter 12- Ratio and Proportion explain the basics of ratio and proportion and includes all of the key explanations and definitions. It helps you develop a clear idea and understanding of various concepts covered in Class 6 Maths Ratio and Proportion. Some of them have been listed below.

**Introduction to ratio and proportion**

This section of Class 6 Maths Ratio and Proportion introduces you to the meaning and definition of ratio and proportion. It covers the golden ratio concept. An example of a ratio is mentioned below.

**Example:** The father’s age is 75 years, and the son’s age is 25 years then the ratio of father’s age to son’s age is

⇒Fathers Age/Son’s Age

⇒75/25 ⇒3/1

⇒3:1

**Difference between fractions and ratios**

In this part of the NCERT Solutions for Class 6 Maths Chapter 12- Ratio and Proportion, you will get familiarized with the differences between ratios and fractions. It teaches you that fractions can be defined as a part of a whole number where the denominator represents the total number of parts. In contrast, the ratio is the comparison of two different quantities.

**Same ratio in different situations**

This section is one of the most crucial sections of CBSE NCERT Class 6 Maths Chapter 12. It explains how ratios can remain the same in different situations. Below is an example of the same.

**Example:**

- Weight of James/ Weight of John =50/100=1/2 = 1: 2
- Number of girls in a class/ number of boys in a class =50/100=1/2= 1:2

**Comparison of quantities using a ratio**

This **C**BSE NCERT Class 6 Maths book gives a detailed description of how to compare various quantities using ratios. An example of the same has been given below.

**Example:** John worked for 10 hours, and Jerry worked for 2 hours. How many times is John’s working hours is of Jerry’s working hours?

Solution: Working hours of John = 10hrs

Working hours of Jerry = 2 hrs

The ration of the working hours of John and Jerry is

10/2= 5

**Equivalent ratios**

In this section of CBSE NCERT Class, 6 Maths book equivalent ratios have been described in a very systematic manner. It will help you to develop in-depth knowledge of solving the problem sums based on this concept. It teaches you that when two given ratios are equal, then they are termed as equivalent ratios.

**Example:**

Ratio 10:30 = 1/3 =1:3

Ratio 11/33 = 1/3 = 1:3

Hence both the above-given ratios are equivalent ratios

**Unitary method**

This section of Class 6 Maths Ratio and Proportion teaches you all about the unitary method. The unitary method is one of the most important concepts of maths. It tells you that the method of determining the value of a single unit and subsequently determining the value of the requisite units is termed as the unitary method of calculation. In this part of the chapter, the same has been described in relation to ratios. An example has been given below.

**Example:**

The cost of 3 apples is Rs 300. What will be the cost of 10 Apples?

**Solution:**

Cost of 3 Apples = 300

Cost of 1 Apple =300/3 = 100

Therefore, the cost of 10 apples = (300/3) x 10 =1000

**Proportion**

This section of the NCERT Solutions for Class 6 Maths Chapter 12- Ratio and Proportion explains the meaning and definitions of a proportion. When two ratios are found to be equal in value, then it is said that they are in proportion. It teaches you how to use the symbols “::” or “=” to equate the two ratios.

**Example:** Ratios 2:3 and 8: 12 are proportional.

Therefore, 2:3::8:12 or 2:3=8:12

**Uses of ratios and proportions**

NCERT CBSE Class 6 Maths Chapter 12 elaborates the different uses of ratios and proportions. Through solved examples, this section helps you understand how to deal with scenario-based ratio and proportion problem sums.

### NCERT CBSE Class 6 Maths Chapter 12 Exercises

NCERT Solutions for Class 6 Maths Chapter 12- Ratio and Proportion comprises consists of a total of three exercises. The exercises and their components have been listed below for your reference.

**Exercise 12.1**

- This exercise of NCERT CBSE Class 6 Maths Chapter 12 includes 16 questions. Each of the questions covers different parts of the chapter.
- Some questions are direct, and some are scenario-based questions.
- Some scenario-based problem sums include question 1,2,4, 8,9, 10,11, 12, 13, 14, 15 and 16.
- Question 1, 6 and 7 are direct questions. Question 5 is fill in the blanks question type.
- Question 3 deals with the introduction to ratio and proportion.

**Exercise 12.2**

- This exercise of the NCERT Solutions for Class 6 Maths Chapter 12- Ratio and Proportion comprises of 4 questions.
- The first questions ask you to determine whether the given set of numbers is in proportion or not; the second question and the third question is a true or false question type.
- The fourth question asks you to determine whether the given ratios form a proportion. It also asks you to write the middle terms and the extreme terms where the ratios form a proportion.
- The questions of these exercises will help you to gain an in-depth understanding of the concepts of proportion by repeated practice.
- All the questions in this exercise are solved using the best methods mention in CBSE Class 6 Maths Syllabus, and they have been solved in a step by step manner for easy understanding.

**Exercise 12.3**

- Exercise 12.3 of NCERT Solutions for Class 6 Maths Chapter 12- Ratio and Proportion comprises of 11 questions.
- All 11 questions are scenario-based questions that deal with various topics from CBSE NCERT Class 6 Maths Chapter 12.
- This exercise gives you ample practice to become thorough with all topics of ratio and proportion.