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

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NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion: This is a very important chapter not only for NCERT Solutions for class 6 Maths but also for coming classes. So we have to practice more on NCERT Solutions of this chapter. We used to say that I am taller than him, this statement is a comparison. If we tell I am taller than him by 10 cm, the meaning is that the difference in height both are 10 cm. For comparison we used difference. Now let's consider the statement "Rahul's mark in Mathematics is double of Raju's mark. That is if the mark of Raju is 30 then Rahul got 60 marks. Or we can say that the ratio of marks obtained by Raju to that of Rahul is 1: 2.

That is

$\frac{mark\ of\ raju}{mark\ of\ rahul}=\frac{1}{2}$

Here the comparison is done using ratio. In NCERT Solutions for Class 6 Maths Chapter 12, we will study how to compare quantities using ratios. For comparison using ratios, the comparing quantities must have the same unit, if not we have to convert them to the same unit. That is the ratio of 500 gram and 1 kilogram is not 500: 1, because one quantity is in gram and the other is in a kilogram. So we have to convert both in gram or in a kilogram. We know that 1 Kg=1000g. Therefore the ratio is 500:1000=1:2. Here the ratio of 500 g and 1Kg is 1: 2 but the ratio of 1Kg and 500g is 2:1. Since 1:2 not equal to 2:1 be careful about the order of the ratio.

The main topics of NCERT Solutions for Class 6 Maths Chapter 12 are given below

12.1 Introduction

12.2 Ratio

12.3 Proportion

12.4 Unitary Method

Another important topic of NCERT Solutions for Class 6 is the proportion. Consider 4 quantities, if the ratio of the first two quantities is equal to the next two quantities then the 4 quantities are said to be in proportion. For example

$\frac{2}{10}=\frac{20}{100}$

which can be represented as 2:10::20:100 which is read as 2 is to 10 as 20 is to 100. In the above proportion, 2 and 100 are the extreme terms and 10 and 20 are the middle terms.

What is Unitary Method?

The method in which we first find the value of one unit and then the value of the required number of units is known as the unitary method. For example, if the cost of 10 chocolates is 100 then what is the cost of 6 chocolates. To solve this first we will find the cost of one chocolate and then for 6 chocolate. 10 chocolate cost 100 implies

$cost \ of \ 1 \ chocolate= \frac{100}{10} = 10rupees$

Now the cost of 6 chocolates is

$6\times10=60\ rupees$

Solving all the problems of this chapter is important for understanding the concept of the chapter.

## NCERT Solutions for Class 6 Mathematics - Chapter-wise

 Chapters No. Chapters Name Chapter - 1 Knowing Our Numbers Chapter - 2 Whole Numbers Chapter - 3 Playing with Numbers Chapter - 4 Basic Geometrical Ideas Chapter - 5 Understanding Elementary Shapes Chapter - 6 Integers Chapter - 7 Fractions Chapter - 8 Decimals Chapter - 9 Data Handling Chapter -10 Mensuration Chapter -11 Algebra Chapter -13 Symmetry Chapter -14 Practical Geometry

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