## NCERT Solutions for Class 8 Maths Chapter 11 Direct and Inverse Proportions - FREE PDF Download

## FAQs on NCERT Solutions for Class 8 Maths Chapter 11 Direct and Inverse Proportions

**1. What are the Various Methods to Solve Direct Proportion Problems? Explain any one of them with an Example.**

There are two methods that can be used to solve direct proportion problems and they are:

Tabular Method

Unitary Method - We will understand this method with an example.

Problem - Let us say a worker gets 1000 Rs for working 2 hours. If he gets a salary of 3000 then how much time has he worked in total?

Solution - We know that for two quantities x and y in direct proportion we have x/y = C (constant). Applying this concept here we get:

C = number of hours worked/payment received by the worker for that duration = 2/1000 = 1/500.

So, if x = C * B we get x = 1/500 * 3000 = 12.

So the worker worked for 12 hours to receive a total payment of 3000 Rs.

**2. Explain the Concept of Inverse Proportion Between two Quantities with an Example.**

Here is a sample problem on the inverse proportion concept:

Problem - If it takes 4 days for 20 laborers to lay the foundation of a building, then how much time will 16 laborers take to do the same job?

Solution - If 20 laborers lay the foundation in 4 days then the duration in which 1 laborer can finish the job = 20 * 4.

To get the duration taken by 16 laborers we have = (20 * 4)/16 = 5 days.

**3. What are the key features of using the NCERT Solutions of Chapter 11 of Class 8 Maths?**

The key features of using the NCERT Solutions of Chapter 11 Direct and Inverse Proportion of Class 8 Maths are highlighted below:

These NCERT Solutions help Class 8 students to understand Chapter 11 Direct and Inverse Proportions clearly. They make all the important concepts of the chapter crystal clear to the students.

The NCERT Solutions enables students to revise significant concepts of the chapter quickly.

They are the best study material to prepare for the Class 8 Maths exam as they are formed after extensive research done by the best Math professionals that tend to provide accurate information.

**4. What do I have to do to download the NCERT Solutions of Chapter 11 of Class 8 Maths?**

In order to download the NCERT Solutions of Chapter 11 Direct and Indirect Proportion, you have to go through the given steps:

Visit the page NCERT Solutions of Chapter 11 Direct and Indirect Proportion of Class 8 Maths.

On that webpage, you will find different study materials other than the NCERT Solutions. It will include revision notes, textbook questions answers, sample papers, mock test papers, etc.

After selecting your desired study material click on the download icon.

**5. What are the topics covered in Chapter 11 of Class 8 Maths?**

Chapter 11 Direct and Inverse Proportion covers three topics in total. These are the introduction of the chapter, Direct Proportion, and Inverse Proportion. You can understand these topics thoroughly on Vedantu. This platform helps students to comprehend Maths subjects easily. It also provides various facilities like video lectures, sample papers, and test papers to prepare well for their exams.

**6. What is the actual length of the bacteria if it has enlarged 20,000 times? The initial length of the bacteria is 5cm when it is enlarged 50,000 times. **

Let us consider the actual length of the bacteria to be x cm. If the bacteria attains a length of 5cm after enlarging 50,000 times, then applying the unitary method, the length of the bacteria will be x cm if it enlarges 20,000 times.

Enlargement Length

50,000 5 cm

20,000 x cm

After cross multiplying, the original length of the bacteria is

Original length= 5/50,000 cm = 1/10,000 cm

Since both the quantities are directly proportional to each other.

50,000/20,000= 5/x

50,000*x= 5*20,000

x=5*20,000/50,000

x= 2cm

**7. What should I do to get good marks in Chapter 11 of Class 8 Maths?**

To get good marks in Chapter 11 Direct and Inverse Proportion of Class 8 Maths, you have to attend all the lectures related to the chapter at school. You must pay attention to what your teacher is teaching. Then, invest time in doing a proper revision when you reach home. Make notes of the chapter containing essential concepts and formulas so that you can revise the entire chapter in a short period. Moreover, you are recommended to thoroughly go through the NCERT Solutions of Chapter 11 of Class 8 Maths available free of cost on the Vedantu website and the Vedantu app.

8. What is the formula for solving direct proportion problems in class 8 math Chapter 11?

The formula for solving direct proportion problems is $\frac{a}{b}=\frac{c}{d}$, where a,b are known quantities and c,d are unknown quantities.

9. What is the formula for solving inverse proportion problems in class 8 math chapter 11?

The formula for solving inverse proportion problems is $a \times b=c \times d$, where a and 𝑏 are the known quantities, and 𝑐 and d are the unknown quantities.