**Comparing Quantities**

**Exerci****se 8.1**

1). Find the ratio of:

(a) ₹ 5 to 50 paise (b) 15 kg to 210 g

(c) 9 m to 27 cm (d) 30 days to 36 hours

Solution:

(a) ₹5 to 50 paise

₹ 5 = 500 paise

₹ 5 : 50 paise = 500 paise: 50 paise

Ans: ₹ 5 : 50 paise = 10:1

(b) 15 kg to 210 g

15 kg = 15000 g

15 kg : 210 g = 15000 : 210

Ans: 15 kg : 210 g = 500 : 7

(c) 9 m to 27 cm

9 m = 900 cm

9 m : 27 cm = 900:27

Ans: 9 m to 27 cm = 100:3

(d) 30 days to 36 hours

30 days = 30 X 24 hours = 720 hours

30 days:36 hours = 720 : 36

Ans: 30 days:36 hours = 20:1

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

3 computers for every 6 students

Computer per 1 student = 3/6 = ½

Computer for 24 students = 24 X ½

= 12

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}.

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

(ii) Which State is less populated?

Solution:

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

People per km^{2} in Rajasthan = 570 / 3

= 190 per km^{2}

People per km^{2} in UP = 1660 / 2

= 830 per km^{2}

(ii) Which State is less populated?

Ans: Rajasthan is less populated.

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