Students can Download Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

## Karnataka State Syllabus Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1

Question 1.

Find the ratio of :

a) 5 to 5o paise

Solution:

Rs. 5 : 50 paise

5 × 100 : 50 paise

500 paise : 50 paise (Dividing by 50)

10 : 1

b) 15 kg to 210 g

15 kg: 210 g

15 × 1000: 210 g

15000 g : 210 g (Dividing by 30) 500 : 7

c) 9 m to 27 cm

9 m : 27 cm

9 × 100 : 27 cm

900 cm : 27 cm (Dividing by 9)

100 : 3

d) 30 days to 36 hours

30 days : 36 hours

30 × 24 : 36 hours

720 hours : 36 hours (Dividing by 36)

20 : 1

Question 2.

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Solution:

Let ‘x’ computers to be needed for 24 students. Then the ratio will be 3 : x = 6 : 24

∴ 24 students need 12 computers.

Question 3.

Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs. Area of Rajasthan = 3 lakh km^{2} and area of UP= 2 lakh km^{2}.

Solution:

Population of Rajasthan = 570 lakhs

Population of UP = 1660 lakhs

Area of Rajasthan = 3 lakh sq. kms

Area of U.P = 2 lakh sq. kms

i) How many people are there per km^{2} in both these States ?

Solution:

i) Population of Rajasthan = 570 Iakhs

Area of Rajasthan = 3 Iakh km^{2}

Population of Rajasthan per km^{2} 570:3

\(\frac{570}{3}\) = 190

Therefore, population of Rajasthan per km^{2} is 190.

Population of UP = 1660 lakhs

Areaof UP = 2 lakh km^{2}

Population of UP per km^{2} = 1660 : 2

\(\frac{1660}{2}\) = 830

Therefore, Population of UP per km^{2} is 830.

ii) Which State is less populated ?

Solution:

Rajasthan State is less populated.