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## AP Board Class 8 Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Book Answers

 AP Board Class 8 Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Book Answers

## Andhra Pradesh State Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Books Solutions

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## AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
The cost of 5 meters of a particular quality of cloth is ₹ 210. Find the cost of(i) 2 (ii) 4
(iii) 10 (iv) 13 meters of cloth of the same quality.
Solution:
The cost of 5 m of a cloth = ₹ 210
The length of a cloth and its price are in direct proportion.
i) x1y1=x2y2
Here x1 = 5, y1 = 210
x2 = 2, y2 = ?

Question 2.
Fill the table.

Solution:

Question 3.
48 bags of paddy costs ₹ 16, 800 then find the cost of 36 bags of paddy.
Solution:
Number of bags of paddy and their cost are in direct proportion.
⇒ 𝑥1𝑦1=𝑥2𝑦2 , x1 = 16,800
x2 = 36 y2 = ?

= 3 × 4200
y2 = ₹ 12600
∴ The cost of 36 bags of paddy = ₹ 12600

Question 4.
The monthly average expenditure of a family with 4 members is 2,800. Find the
monthly average expenditure ofa family with only 3 members.
Solution:
Number of family members and their expenditure are in direct proportion.
⇒ 𝑥1𝑦1=𝑥2𝑦2 , x1 = 4
y1 = 2,800
x2 = 3 y2 = ?

= 3 × 700 = 2100
y2 = ₹ 2100
The expenditure for 3 members = ₹ 2100

Question 5.
In a ship of length 28 m, height of its mast is 12 m. If the height of the mast in its model is
9 cm what is the length of the model ship?
Solution:
The length of ship and the height of its mast are in direct proportion.
⇒ 𝑥1𝑦1=𝑥2𝑦2 , x1 = 28
y1 = 12
x2 = ? y2 = 9

x2 = 7 × 3 = 21
∴ The length of model ship = 21 m

Question 6.
A vertical pole of 5.6 m height casts a shadow 3.2 m long. At the same time find (j) the
length of the shadow cast by another pole 10.5 m high (ii) the height of a pole which casts
Solution:
length of a vertical pole and length of its shadow are in direct proportion.
⇒ 𝑥1𝑦1=𝑥2𝑦2

i) x1 = 5.6
y1 = 3.2
x2 = 10.5 y2 = ?

∴The length of the shadow = 6 cm

ii) x1 = 5.6 m x2 = ?
y1 = 3.2 m y2 = 5
⇒ 𝑥1𝑦1=𝑥2𝑦2

∴ x2 = 8.75

Question 7.
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
Solution:
Time and distance are in direct proportion
⇒ 𝑥1𝑦1=𝑥2𝑦2
x1 = 14 km , x2 = ?
y1 = 25min = 2560hr=512hr = y2 = 5hrs
⇒ 𝑥2=𝑥1×𝑦2𝑦1=14×55=14×⧸5×12⧸5
= 168 km
∴ Lorry travelled in 5 hrs = 168km

Question 8.
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 16 23 kilograms?
Solution:
Number of pages and their weight are in direct proportion.
⇒ 𝑥1𝑦1=𝑥2𝑦2
x1 = 12 km , x2 = ?
y1 = 40 gm
y2 = 16 23 gm = 503 x 1000 gm
= 500003 gm

From (1)

∴ Number of pages = 5000

Question 9.
A train moves at a constant speed of 75 km/hr.
(i) How far will it travel in 20 minutes?
(ii) Find the time required to cover a distance of 250 km.
Solution:
Speed of the train = 75 km/hr
i) The distance travelled in 20 min.
d = s x t = 75 x 20 min
= 75 x = 25 km
= 75×2060=753 = 25 km

ii) Time taken to travel 250 km
t = 𝑑𝑠=25075
t = 103 hrs

Question 10.
The design of a microchip has the scale 40:1. The length of the design is 18cm, find the actual length of the micro chip?
Solution:
The scale of the design of a microchip
= 40 : 1
The length of the design = 18 cm
The actual length of microchip = ?
The length of the design and actual length of the microchip are in direct proportion.
⇒ 𝑥1𝑦1=𝑥2𝑦2
x1 = 40 km , x2 = 18
y1 = 1
y2 = ?
⇒ 401=18𝑦2
⇒ 1840=920 cm
∴ The original (actual) length of the microchip = [latexs]\frac{9}{20}[/latex]cm

Question 11.
The average age of consisting doctors and lawyers is 40. If the doctors average age is 35 and the lawyers average age is 50, fmd the ratio of the number of doctors to the number of lawyers.
Solution:
Let the number of doctors = x
Number of lawyers = y
The average age of doctors = 35
The total age of doctors = 35 × x
= 35 x years
The average age of lawyers = 50
∴ The total age of lawyers = 50 x y
= 50y
According to the sum
35𝑥+50𝑦𝑥+𝑦 = 40
⇒ 35x + 50y = 40x + 40y
⇒ 40x – 35x = 50y – 40y
⇒ 5x = lOy
⇒ 𝑥𝑦=105 (or)
x : y = 2 : 1
∴ The ratio of number of doctors to lawyers = 2:1

## Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 exam preparation. The AP Board STD 8th Maths Chapter 10 Direct and Inverse Proportions Ex 10.1 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 10.1 Books State Board syllabus with maximum efficiency.

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

## Important Terms

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