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On January 25, 2024, 11:35 AM

Exercise 8.1 - Chapter 8 Comparing Quantities class 7 ncert solutions Maths - SaraNextGen [2024]


Question 1:

Find the ratio of:

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

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

Answer:

(a) Rs 5 to 50 paise

1 rupee = 100 paise

5 rupee = 500 paise

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2165/Chapter%208_html_840c03f.gif

Hence, the required ratio is 10:1.

(b) 15 kg to 210 g

1 kg = 1000 g

15 kg = 15000 g

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2165/Chapter%208_html_125b1510.gif

Hence, the required ratio is 500:7.

(c) 9 m to 27 cm

1 m = 100 cm

9 m = 900 cm

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2165/Chapter%208_html_mc1a38c6.gif

Hence, the required ratio is 100:3.

(d) 30 days to 36 hours

1 days = 24 hrs

30 days = 24 × 30 = 720 hrs

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2165/Chapter%208_html_1b11fa45.gif

Hence, the required ratio is 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?

https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2166/Chapter%208_html_2b53062a.jpg

Answer:

For 6 students, number of computers required = 3

∴ For 1 student, number of computers required =https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2166/Chapter%208_html_3c7ba114.gif

∴ For 24 students, number of computers required =https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2166/Chapter%208_html_50bb2c3e.gif = 12 Hence, 12 computers are required 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?

Answer:

(i) Population of Rajasthan in 3 km2 area = 570 lakh

Population of Rajasthan in 1 km2 area =https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2168/Chapter%208_html_5d82f4b8.gif

Population of U.P in 2 km2 area = 1660 lakh

Population of U.P in 1 km2 area =https://img-nm.mnimgs.com/img/study_content/curr/1/7/3/38/2168/Chapter%208_html_m5b5fdd7e.gif  = 830 lakh

(ii) It can be observed that population per km2 area is lesser for Rajasthan. Therefore, Rajasthan is less populated.

Also Read : Exercise-8.2-Chapter-8-Comparing-Quantities-class-7-ncert-solutions-Maths

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