NCERT Solutions for Class 7Â Maths Chapter 8 Comparing Quantities
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities: In our daily life, we compare many things like his bottle is filled up to two-thirds of its height, his mark is 66% of my mark, my marks increased by 15% compared to the last test, etc. In this chapter of NCERT, you will learn to compare quantities using ratios, percentage. Also, you will learn concepts of profit, loss and simple interest. In CBSE NCERT solutions for class 7 maths chapter 8 Comparing Quantities, you will get questions related to the above concepts which are useful in our daily life for the basics for calculations in our life. Ratio and percentage are two things which are useful in comparing quantities. It is advisable that students must complete the NCER Class 7 Maths syllabus to the earliest in revise in a better way.
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Ratio: The ratio tells how many times one number contains another. The unit must be the same to find the ratio of two quantities. If it is not same, you first convert it into the same unit then find the ratio.
Example- Find the ratio of 500 meters and 1 Km.
First, we have to convert it to the same unit. 1Km=1000m. Now the ratio is 500:1000 or 1:2. In solutions of NCERT for class 7 maths chapter 8 comparing quantities, there are many problems where you will be using the above concept to find the ratio of quantities.
Percentage: It simply means numbers or amount in each hundred. In other words, percentages are number or ration that represents a fraction of 100. It is represented by '%'. 5% means 5 out of 100. That is 5/100= 0.05. Let's see an example to calculate the percentage
Example: Out of 50 students there are 20 boys in the class then what is the percentage of girls in the class?
60% of students are girls. That is 50-20=30 are girls.
There are 24 questions in three exercises of in class 7 NCERT Maths chapter comparing quantities . You will get solutions to all these questions in CBSE NCERT solutions for class 7 maths chapter 8 comparing quantities explained in a detailed manner. You will get NCERT solutions from class 6 to 12 by clicking on the above link. Here you will get NCERT solutions for class 7.
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Topics
8.2 Equivalent Ratios
8.3 Percentage – Another Way Of Comparing Quantities
8.3.1 Meaning Of Percentage
8.3.2 Converting Fractional Numbers To Percentage
8.3.3 Converting Decimals To Percentage
8.3.4 Converting Percentages To Fractions Or Decimals
8.3.5 Fun With Estimation
8.4 Use Of Percentages
8.4.1 Interpreting Percentages
8.4.2 Converting Percentages To “How Many”
8.4.3 Ratios To Percents
8.4.4 Increase Or Decrease As a percent
8.5 Prices Related To An Item Or Buying And Selling
8.5.1 Profit Or Loss As A Percentage
8.6 Charge Given On Borrowed Money Or Simple Interest
8.6.1 Interest For Multiple Years
NCERT Solutions for Class 7 Maths Chapter-wise
|Chapter 8||NCERT solutions for class 7 maths chapter 8 comparing quantities|
NCERT Solutions for Class 7 Subject wise
There are two additional topics profit and loss percentage and simple interest in this chapter. The last exercise of NCERT solutions for class 7 maths chapter 8 Comparing Quantities has all 11 questions related to these two topics.
Profit and Loss Percentage:- If the selling price (SP) > cost price (CP) then there is a profit P= SP-CP. If selling price (SP) is < cost price (CP) then there is a loss L= CP-SP.
Simple interest: If we deposit 100 rupees for the interest of 10% for a year then you will get 100+10% of 100=100+10=110 rupees after a year. Here 100 rupees is known as the principal or sum (P), 10% is the rate percent per annum (R), Then the interest we are getting (I) after 1 year is (If we are borrowing money then the interest is to be paid)
The amount (A) you will receive total amount = Principle amount +Interest =100+10=110
Suppose if you are borrowing or taking a loan for more than one year (say T years) then the interest to be paid after T years is
There are practice questions given after every topic to get a better understanding of the concept. In CBSE NCERT solutions for class 7 maths chapter 8 comparing quantities, you will also get solutions to practice questions given after every topic. Solve all the questions and examples to understand the concept and score well in the exam.
Frequently Asked Question (FAQs) - NCERT Solutions for Class 7Â Maths Chapter 8 Comparing Quantities
Question: Whether class 7 NCERT chapter comparing quantities is important for higher studies
The concepts of NCERT Maths chapter comparing quantities are helpful in higher classes as well as in real life. The calculations based on percentage, ratios, simple interest, profit and loss etc are used in real life in many situations.
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