### CHAPTER – 8 Comparing Quantities

# CHAPTER – 8

# Comparing Quantities

### Exercise – 8.1

### Q-1. Find the ratio of :

### (A) Rs.5 to 50 paise

#### Solution:-

#### We know that ,

Rs1=100paise

Then,

Rs 5=5 X 100=500 paise

Now we have to find the ratio,

=500/50

=10/1

So, the required ratio is 10:1.

**15 kg to 210 g**

**Solution:-**

We know that ,

1 kg = 1000g

Then,

15kg=15 X 1000 =15000 g

Now we have find the ratio,

=15000/210

=1500/21

=500/7…….{ divide both by 3}

So, the required ratio is 500:7.

C.) ** 9m to 27cm**

**Solution**

We know that ,

1m=100cm

Then,

9m = 9X 100=900cm

Now we have to find the ratio ,

=9900/27

=100/3 [ divided both by 9]

So, the required ratio is 100: 3.

**D.) 30 days to 36 hrs.**

**Solution:-**

We know that,

1 day = 24hrs

Then,

30

Now we have to find the ratio,

=720/36

=20/1…….[divide both by 36]

So the required ratio is 20:1.

**Q2.) In a computer lab ,there are three computers for every six students . How many computers will be needed for 24 students ? **

**Solution:-**

From the question it is given that,

Numbers of computers required for 6 students = 3

So, numbers of computers required for 1 students =(3/6)

=1/2

So, no. Of computers required for 24 students =24 x 1/2

=24/2

=12

No of computers required for 24 students is 12 computers.

**Q3.) Population of Rajasthan =570 lakh and population of UP=1660 lakh.**

** **

**Area of Rajasthan =3 lakh km ^{2} and area of UP =2 lakh km^{2} .**

**How many people are there per km**^{2}in both these states ?**Which states is less populated ?**

**Solution:-**

- From the questions ,it is given that , population of Rajasthan=570 Lakh

Area of Rajasthan = 3 lakh km^{2}

Then,population of Rajasthan in 1 km^{2 }area =(570 lakh ) / (3 lakh km^{2})=190 people per km^{2}

Population of UP =1660 lakh

Area of UP =2 lakh km^{2}

Then, population of UP in 1 lakh km^{2} area = (1660 lakh )/(2 lakh km^{2} )=830 people per km^{2}

- By comparing the two states Rajasthan is the less populated states
- Ek Parivar Ek Naukri yojana 2021: online

CHAPTER – 8 Comparing Quantities Exercise – 8.1 Q-1. Find the ratio of : (A) Rs.5 to 50 paise…

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