NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1 are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1.

- Comparing Quantities Class 7 Ex 8.2
- Comparing Quantities Class 7 Ex 8.3
- Comparing Quantities Class 7 MCQ

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 7 |

Subject |
Maths |

Chapter |
Chapter 8 |

Chapter Name |
Comparing Quantities |

Exercise |
Ex 8.1 |

Number of Questions Solved |
3 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1

**Question 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 hour

**Solution:**

**(a) ₹ 5 : 50 paise**

= ₹ 5 : 50 paise

= 5 × 100 paise : 50 paise

= 500 paise : 50 paise

= 10 : 1.

**(b) 15 kg to 210g**

= 15 kg : 210g

= 15 × 1000 g : 210g

= 15000 g : 210g = 500:7.

**(c) 9 m to 27 cm**

= 9m : 27 cm = 9 × 100 cm : 27 cm

= 900 cm : 27 cm

900 : 27 = 100 : 3.

**(d) 30 days to 36 hours**

= 30 days : 36 hours

30 × 24 hours : 36 hours

= 720 hours : 36 hours

= 720 : 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 be needed for 24 students.

Hence, 12 computers will be needed for

24 students.

**Aliter :**

∵ For every 6 students there are 3 computers

∴ For 1 student there are \(\frac { 3 }{ 6 } \) computer

∴ For 24 students there are \(\frac { 3 }{ 6 } \) × 24 computers = 12 computers

Hence, 12 computers are needed for 24 students.

**Question 3.**

Population of Rajasthan = 570 lakhs

and population of UP = 1660 lakhs.

Area of Rajasthan =3 lakh km2

and area of UP = 2 lakh km2.

**(i)** How many people are there per km2 in both these States?

**(ii)** Which State is less populated?

**Solution:**

**(i)** Number of people per sq. km. in Rajasthan state

**(ii)** The Rajasthan State is less populated

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