Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.4 Textbooks Solutions PDF
Andhra Pradesh State Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.4 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 10.4 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 10.4 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 10.4 Textbooks. These Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.4 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 10.4 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 10.4 |
Provider | Hsslive |
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AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.4 Textbooks Solutions with Answer PDF Download
Find below the list of all AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.4 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:Question 1.
Rice costing ₹480 is needed for 8 members for 20 days. What is the cost of rice required for 12 members for 15 days?
Solution:
Method – 1: Number of men and rice required to them are in inverse proportion.
Number of men ∝ 1 No. of days
⇒ Compound ratio of 8:12 and 20: 15
= 812=2015 = 89 …………….. (2)
From (1), (2)
480 : x = 8 : 9
⇒ 480𝑥=89
⇒ x = 480×98 = ₹540
∴ The cost of required rice is ₹ 540
Method – II :
𝑀1𝐷1𝑊1=𝑀2𝐷2𝑊2
M1 = No. of men
D1 = No .of days
W1 = Cost of rice
∴ M1 = 8
D1 = 20
W1 = ₹ 480
M2 = 12
D2 = 15
W2 = ? (x)
⇒ x = 45 x 12 = ₹ 540
The cost of required rice = ₹ 540/-
Question 2.
10 men can lay a road 75 km. long in 5 days. In how many days can 15 men lay a road 45 km. long?
Solution:
𝑀1𝐷1𝑊1=𝑀2𝐷2𝑊2
∴ M1 = 10
D1 = 5
W1 = 75
M2 = 15
D2 = ?
W2 = 45
∴ x = 2
∴ No. of days are required = 2
Question 3.
24 men working at 8 hours per day can do a piece of work in 15 days. In how many days can 20 men working at 9 hours per day do the same work?
Solution:
M1D1H1 = M2D2H2
∴ M1 = 24
D1 = 15 days
H1 = 8 hrs
M2 = 20
D2 = ?
H2 = 9 hrs
⇒ 24 × 15 × 8 = 20 × x × 9
∴ No. of days are required = 16
[ ∵ No. of men and working hours are in inverse]
Question 4.
175 men can dig a canal 3150 m long in 36 days. How many men are required to dig a canal 3900 m. long in 24 days?
Solution:
𝑀1𝐷1𝑊1=𝑀2𝐷2𝑊2
M1 = 175
D1 = 36
W1 = 3150
M2 = ?
D2 = 24
W2 = 3900
∴ No. of workers are required = 325
Question 5.
If 14 typists typing 6 hours a day can take 12 days to complete the manuscript of a book, then how many days will 4 typists, working 7 hours a day, can take to do the same job?
Solution:
M1D1H1 = M2D2H2
M1 = 14
D1 = 12 days
H1 = 6
M2 = 4
D2 = ?
H2 = 7
⇒ 14 × 12 × 6 = 4 × x × 7
⇒ x = 36
∴ No. of days are required = 36
[ ∵ No of men and working hours are in inverse proportion]
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