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RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations (Ex 10.1) Exercise 10.1 - Free PDF

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RD Sharma Class 8 Solutions PDF Available on Vedantu

Free PDF download of RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations Exercise 10.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 10 - Direct and Inverse Variations Ex 10.1 Questions with Solutions for RD Sharma Class 8 Maths to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams. You can also register Online for Class 8 Science tuition on Vedantu.com to score more marks in CBSE board examination. Students can also download NCERT Solution PDF for all subjects to prepare for their forthcoming exams.

Class 8 Solutions Chapter 10 RD Sharma - Direct and Inverse Variations (Ex 10.1) Exercise 10.1

RD Sharma Class 8 Chapter 10  Direct and Inverse Variation is provided here. We have included solutions to questions based on the topic of Direct and Inverse Variation to solve real-life problems. 


In this exercise, students will understand the meaning of variations and the concept of variations. This chapter mainly deals with two types of variations namely, Direct Variation and Indirect Variation. There are several examples of day to day life where the knowledge of proportions is utilized.


For illustration:

  • If three girls arrange flowers in 18 minutes, how long will 7 girls take?

  • If while making coffee for 1 person we use 1 spoon of stevia, then how many spoons will we need for making coffee for 4 people?


We can clearly understand that there is a relation between the change of one quantity and another quantity, from the above illustrations. The idea of variation conveys that quantities of two things are related to each other in such a manner that an increase or decrease in one leads to an increase or decrease in the other.


Some of The Topics Which are Discussed in This Chapter are as Follows: 

  • Direct Proportion.

  • Indirect Proportion.


Direct Proportion

Let us learn the definition of direct proportion. 


Two quantities a and b are in direct proportion when they fulfill the following listed conditions:

  • If a increases then b increases too.

  • If a decreases then b decreases too.

  • a/b = C where C is a constant or, a = C * b. 


The ratio of the respective values of x and y remain the same, despite an increase or decrease in their values.


We can denote b is proportional to a by the symbol ∝ , i.e. b ∝ a. 


Some real-life examples where the concept of direct proportion is utilized are: 

  • If the amount of sugar bought increases, its price increases too.

  • More is interest earned when more money is deposited in a bank.


Inverse Proportion

Let us now understand the concept of Inverse Proportion. 


Two quantities a and b, are said to be in inverse proportion if they fulfill the following criteria:

  • If a increases then there is a decrease in b.

  • If a decreases then there is an increase in b.

  • a * b =  K. Here K is a constant.


This means that despite an increase or decrease in their values the ratio of the respective values of a and b remain the same.


We symbolize a is inversely proportional to b by the notation y ∝ 1/x. 


Some Real-Life Examples Where The Concept of Inverse Proportion is Utilized are:

  • If the number of workers increases, the time to complete the work will decrease.

  • The time taken to cover a distance decreases as the speed of a vehicle increases.

 

For students who wish to perform well in Math, RD Sharma Solutions is the best study material. The subject experts at Vedantu have prepared the  RD Sharma solutions to help the students who are finding difficulties in solving them. Students can easily access answers to the problems present in RD Sharma Class 8 Chapter 10  by downloading the PDF. It contains all solutions in a detailed manner and also one can expect these questions to be asked in the exam. After solving these questions students will be more confident about their performance.

FAQs on RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations (Ex 10.1) Exercise 10.1 - Free PDF

1. Are the solutions to RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations free?

Yes, the solutions to RD Sharma Class 8 Chapter 10 - Direct and Inverse Variations which have been provided on this website are 100% free for anyone to download. If you have a mobile or a laptop or even a tablet, you can download the RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations for free. Our experts have provided accurate solutions to all the questions of the chapter. They are easy to understand and concise which makes them a perfect resource for their mathematics study routine.

2. What are some benefits of solving RD Sharma Class 8?

RD Sharma is one of the best books one can probably find for Mathematics practice. There are many benefits of solving RD Sharma Class 8. We all know how important practice is for a subject like mathematics. There are plenty of questions for students to practice in RD Sharma Class 8. The questions are of a very good level. Many teachers recommend students to solve this book if they want something else to solve after completing NCERT. Students gain more confidence after solving RD Sharma Class 8. Thus, we can conclude by saying that RD Sharma Class 8 is a very good book.

3.How to avoid silly mistakes while solving RD Sharma Class 8?

The best way to avoid silly mistakes is to practice as many questions as one can and to be mindful while solving the questions. When you practice enough questions, you will be able to identify the areas you are weak at and rectify them accordingly. Be slow to read the question and fast to write the answer. 

The key is to be persistent while not being too hard on yourself. Don’t take any stress while solving questions. Solve them with a calm and focussed mind. It will give you the confidence to perform well.

4. How to download the RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations?

It is very easy to download RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations. For this students have to sign up to the Vedantu website by using either their email-Id or phone number. They could also sign up using their Google account. Once they are signed up, they need to click on the download button which will start the download. Once the download ends, they can access the RD Sharma Class 8 Solutions Chapter 10 - Direct and Inverse Variations in PDF format. All the RD Sharma Class 8 Solution PDFs here are free.