NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities
In our daily lives, we often come across situations where we are compelled to compare two quantities for various reasons. It may be any quantity like weight, age, grades, height, etc. Students must be aware of this concept where they must have tried calculating how many times one measurable quantity stands against another. The NCERT Solutions for Class 7 maths chapter 8 Comparing Quantities elaborates further on this concept by giving the comparisons precise names by which they are known in mathematics, which are ratio and proportion as well as percentages. The chapter deals with practical problems which will help students in understanding the way of comparing quantities and further covering the concept of profit loss and simple interest too. Also, not only whole numbers but also how fractions and decimals can be converted to ratios and percentages are taught in the NCERT solutions Class 7 maths chapter 8 Comparing Quantities.
The students will come across some important facts like in order to compare any two quantities their unit has to be the same. Also, in case any two ratios are equivalent, then the respective four quantities are said to be in proportion. The pdf form of the Class 7 maths NCERT solutions chapter 8 Comparing Quantities are given below and also find some of these in the exercises given below.
- NCERT Solutions Class 7 Maths Chapter 8 Ex 8.1
- NCERT Solutions Class 7 Maths Chapter 8 Ex 8.2
- NCERT Solutions Class 7 Maths Chapter 8 Ex 8.3
NCERT Solutions for Class 7 Maths Chapter 8 PDF
The students, while studying the NCERT solutions Class 7 maths chapter 8 Comparing Quantities, will find the concepts relatable to things which they encounter in real life, which will make it interesting for them to pick up the concepts easily. The free pdf file for the chapter with the relevant exercises can be downloaded from the link given here:
☛ Download Class 7 Maths NCERT Solutions Chapter 8 Comparing Quantities
NCERT Class 7 Maths Chapter 8
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities
The arithmetic of comparing quantities is an important topic to understand. Hence, the students must study the importance of ratios, proportions, percentages, profit, and loss concepts with the help of practical examples provided in the chapter. They are self-explanatory and follow a step-by-step approach to the problem, which will benefit the students in learning the necessary problem-solving approach or strategies. The students can find the classification of questions in each section of the chapter in the NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities as below :
- Class 7 Maths Chapter 8 Ex 8.1 - 3 Questions
- Class 7 Maths Chapter 8 Ex 8.2 - 10 Questions
- Class 7 Maths Chapter 8 Ex 8.3 - 11 Questions
Topics Covered: The chapter starts off with the introduction to ratio and proportion, moving onto percents, including how to convert fractional and decimal numbers to percentage and vice versa, uses of percentage. The Class 7 maths NCERT solutions chapter 8 also deals with how to convert ratio into percent, and representation of profit and loss as well as interest as a percentage.
Total Questions: The Class 7 maths chapter 8 Comparing Quantities Chapter 8 consists of 24 questions. The students might find 18 of these as easy to understand, 3 beings of medium complexity, and the remaining 3 might feel a little tough.
List of Formulas in NCERT Solutions Class 7 Maths Chapter 8
Apart from the ratio, proportion, and percentages, the NCERT solutions Class 7 maths chapter 8 also covers the profit loss and simple interest formulas. The percentage and simple interest formula are the ones that come in handy most of the time to the students in several problems as they are the basic ones and can be found below:
- Increase in Percentage Formula : [(Change in Amount)/(Original Amount)] * 100
- Interest Formula : Amount = [ Principal(P) x Rate(R) x Time(T) ]/100
FAQs on NCERT Solutions Class 7 Maths Chapter 8
Do I Need to Practice all Questions Provided in NCERT Solutions Class 7 Maths Comparing Quantities?
Our everyday lives present us with various scenarios where we need to compare different quantities. Hence, it makes it worthwhile to have a firm hold on the concepts of ratio proportion, percentages as well as profit and loss, which is possible only when one explores these topics. And for in-depth exploration, one definitely needs to practice all the questions provided in the NCERT solutions class 7 maths Comparing Quantities as the questions will cover all the possible scenarios.
How Many Questions are there in NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities?
The exercises in NCERT Solutions Class 7 Maths Chapter 8 Comparing Quantities have 24 problems consisting of ratio calculation, ratio comparison, ratio conversion to percentages, profit and loss, and simple interest, 18 of them are fairly easy, while four range from medium complexity to difficult ones.
What are the Important Topics Covered in NCERT Solutions Class 7 Maths Chapter 8?
Ratio proportion, percentages, profit and loss, simple interest are the main focus of the Class 7 maths NCERT solutions chapter 8. Within these main topics, several sub-topics like how to convert fractional and decimal numbers to percentage and vice versa uses of percentage have also been discussed in detail to ensure maximum coverage of the topics.
Why are the NCERT Solutions Class 7 Maths Chapter 8 Important?
NCERT is an eminent organization responsible for equal and responsible education for all in a simple language. The team which frames these solutions consists of scholars in their respective fields who have done a lot of research before compiling their knowledge in these books. Hence, no doubt, the NCERT Solutions Class 7 Maths Chapter 8 holds an important place in the education system.
Why Should I Practice NCERT Solutions Class 7 Maths Comparing Quantities chapter 8?
As mentioned earlier, the comparison of quantities is a topic which everyone must be aware of as its inescapable in real life. Whether at the home, shop or at office, one is bound to face situations where comparisons are required to reach a decision. NCERT Solutions Class 7 Maths Comparing Quantities chapter 8 presents these concepts in a simple yet effective way with the help of practical life examples and proper explanations, making them a useful resource for students’ practice.
What are the Important Formulas in NCERT Solutions Class 7 Maths Chapter 8?
The important Formulas in NCERT Solutions Class 7 Maths Chapter 8 are regarding ratio and proportion, percentages, profit and loss, and simple interest. For example, a simple formula for an increase in Percentage is equal to the change in amount divided by the original amount, and then the answer is multiplied by 100.
Also, the interest formula equals the product of principal, time, and rate divided by 100.