AP Board Class 8 Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Book Answers ~ HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

AP Board Class 8 Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Book Answers

AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks Solutions and answers for students are now available in pdf format. Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Book answers and solutions are one of the most important study materials for any student. The Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 books are published by the Andhra Pradesh Board Publishers. These Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 textbooks are prepared by a group of expert faculty members. Students can download these AP Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 book solutions pdf online from this page.

Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks Solutions PDF

Andhra Pradesh State Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks. These Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.

Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	8th
Subject	Maths
Chapters	Maths Chapter 10 Direct and Inverse Proportions Ex 10.3
Provider	Hsslive

How to download Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Solutions Answers PDF Online?

Visit our website - Hsslive
Click on the Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Answers.
Look for your Andhra Pradesh Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks PDF.
Now download or read the Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Solutions for PDF Free.

AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Siri has enough money to buy 5 kg of potatoes at the price of ₹ 8 per kg. How much can she buy for the same amount if the price is increased to ₹ 10 per kg?
Solution:
Number of kgs of potatoes to their price are in inverse proportion.
∴ x₁y₁ = x₂ y₂
⇒ 8 × 5 = 10 × x
⇒ x = 8×510 = 4 kgs
∴ 4 kgs of potatoes will be purchased at the rate of ₹ 10 per kg.

Question 2.
A camp has food stock for 500 people for 70 days. ¡f200 more people join the camp, how long will the stock last?
Solution:
Number of persons and their food stock are in inverse proportion.
⇒ x₁y₁ = x₂ y₂ (Let y₂ = x say)
⇒ 500 × 70 = (500 + 200) × x
⇒ x = 500×70700 = 5 × 10
∴ x = 50
∴ The food will be stock for (200 + 500) 700 men = 50 days

Question 3.
36 men can do a piece of work in 12 days. ¡n how many days 9 men can do the same work?
Solution:
Number of workers and number of days are in inverse proportion
∴ x₁y₁ = x₂ y₂ let y₂ = x (say)
= 36 × 12 = 9 × x
x = 36×129 = 48
∴ x = 48 days

Question 4.
A cyclist covers a distance of28 km in 2 hours. Find the time taken by him to cover a distance of 56 km with the same speed.
Solution:
Time and distance are in direct proportion.
∴ 𝑥1𝑦1=𝑥2𝑦2 , Let y₂ = x (say)
⇒ 282 = 56𝑥
⇒ x = 5614
∴ x = 4 hours

Question 5.
A ship can cover a certain distance in 10 hours at a speed of 16 nautical miles per hour. By how much should its speed be increased so that it takes only 8 hours to cover the same distance? (A nautical mile in a unit of measurement used at sea distance or sea water i.e. 1852 metres).
Solution:
Speed and distance are in inverse proportion.
⇒ x₁y₁ = x₂ y_{2 ,} Let x₂ = x (say)
⇒ 16 × 10 = x × 8
⇒ x = 16×108= 20
∴ x = 20
∴ The speed to be increased
= 20 – 16 = 4 nautical miles

Question 6.
5 pumps are required to fill a tank in 112 hours. How many pumps of the same type are used to fill the tank in half an hour.
Solution:
Number of pumps and time to fill the tanks are in inverse proportion.
⇒ x₁y₁ = x₂ y₂
⇒ 5 × 112 = x x 112
⇒ 5 × 32 = x x 12
⇒ x = 5 × 3 = 15
∴ Number of pumps required = 15

Question 7.
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
Solution:
Number of workers and time are in inverse proportion.
⇒ x₁y₁ = x₂ y₂
⇒ 15 × 48 = x × 30
⇒ x = 15×4830 = 24
∴ Number of workers required = 24

Question 8.
A School has 8 periods a day each of45 minutes duration. How long would each period become ,if the school has 6 periods a day? ( assuming the number of school hours to be the same)
Solution:
Time and number of periods are in inverse proportion.
⇒ x₁y₁ = x₂ y₂
⇒ 45 × 8 = x × 6
⇒ 45×86
⇒ 60 minutes

Question 9.
If z varies directly as xand inversely as y. Find the percentage increase in z due to an increase of 12% in x and a decrease of 20% in y.
Solution:
Given that
z varies directly as x and inversely as y So, z ∝ x (1); z ∝ 1/y ……………… (2)
From (1) & (2), z ∝ xy

Let x₁ = 100x, x₂ = 112x
(∵ It increases 12%)
y₁ = 100y, y₂ = 80y
(∵ It decreases 20%)
From (3),

∴ z is increased in 40%

Question 10.
If x + 1 men will do the work in x + 1 days, find the number of days that (x + 2) men can finish the same work.
Solution:
Number of workers and number of days are in inverse proportion.
⇒ x₁y₁ = x₂ y₂
⇒ (x + 1) (x + 1) = (x + 2) x k
⇒ k = (𝑥+1)(𝑥+1)(𝑥+2)
∴ k = (𝑥+1)2(𝑥+2)

Question 11.
Given a rectangle with a fixed perimeter of 24 meters, if we increase the length by 1 m the width and area will vary accordingly. Use the following table of values to look at how the width and area vary as the length varies.
What do you observe? Write your observations in your note books

Solution:

AP Board Textbook Solutions PDF for Class 8th Maths

Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 exam preparation. The AP Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Books State Board syllabus with maximum efficiency.

FAQs Regarding Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Solutions

How to get AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook Answers??

Students can download the Andhra Pradesh Board Class 8 Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Answers PDF from the links provided above.

Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

Important Terms

Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3, AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks, Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3, Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook solutions, AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks Solutions, Andhra Pradesh Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3, AP Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks, Andhra Pradesh State Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3, Andhra Pradesh State Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbook solutions, AP Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.3 Textbooks Solutions,

HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

Hsslive.co.in: Kerala Higher Secondary News, Plus Two Notes, Plus One Notes, Plus two study material, Higher Secondary Question Paper.

Wednesday, July 27, 2022