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On January 25, 2024, 11:35 AM

Exercise 12.2 - Chapter 12 Ratio and proportion class 6 ncert solutions Maths - SaraNextGen [2024]


Question 1:

Determine if the following are in proportion.

(a) 15, 45, 40, 120 (b) 33, 121, 9, 96

(c) 24, 28, 36, 48 (d) 32, 48, 70, 210

(e) 4, 6, 8, 12 (f) 33, 44, 75, 100

Answer:

(a) 15, 45, 40, 120

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2878/Exercise%20-%2012_SS_html_38bb6179.gif

Therefore, 15: 45 = 40: 120

Hence, these are in proportion.

(b) 33, 121, 9, 96

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2878/Exercise%20-%2012_SS_html_12448a87.gif

Therefore, 33: 121 ≠ 9: 96

Hence, these are not in proportion.

(c) 24, 28, 36, 48

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2878/Exercise%20-%2012_SS_html_m50c1f8fe.gif

Therefore, 24: 28 ≠ 36: 48

Hence, these are not in proportion.

(d) 32, 48, 70, 210

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2878/Exercise%20-%2012_SS_html_m17a8eb12.gif

Therefore, 32: 48 ≠ 70: 210

Hence, these are not in proportion.

(e) 4, 6, 8, 12

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2878/Exercise%20-%2012_SS_html_m6572666c.gif

Therefore, 4: 6 = 8: 12

Hence, these are in proportion.

(f) 33, 44, 75, 100

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2878/Exercise%20-%2012_SS_html_m691739dc.gif

Therefore, 33: 44 = 75: 100

Hence, these are in proportion.

Question 2:

Write True (T) or False (F) against each of the following statements:

(a) 16:24::20:30 (b) 21:6::35:10

(c) 12:18::28:12 (d) 8:9::24:27

(e) 5.2:3.9::3:4 (f) 0.9:0.36::10:4

Answer:

(a) 16: 24:: 20: 30

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2889/Exercise%20-%2012_SS_html_1ac02d45.gif

Therefore, 16: 24 = 20: 30

Hence, True

(b) 21: 6:: 35: 10

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2889/Exercise%20-%2012_SS_html_m15c80694.gif

Therefore, 21: 6 = 35: 10

Hence, True

(c) 12: 18:: 28: 12

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2889/Exercise%20-%2012_SS_html_dcd26b9.gif

Therefore, 12: 18 ≠ 28: 12

Hence, False

(d) 8: 9:: 24: 27

Ashttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2889/Exercise%20-%2012_SS_html_38fd9a15.gif ,

Therefore, True

(e) 5.2: 3.9:: 3: 4

As https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2889/Exercise%20-%2012_SS_html_26d2e5d2.gif ,

Therefore, 5.2: 3.9 ≠ 3: 4

Hence, False

(f) 0.9: 0.36:: 10: 4

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2889/Exercise%20-%2012_SS_html_mbaa428d.gif

Therefore, 0.9: 0.36 = 10: 4

Hence, True

Question 3:

Are the following statements true?

(a) 40 persons: 200 persons = Rs 15: Rs 75

(b) 7.5 litres: 15 litres = 5 kg: 10 kg

(c) 99 kg: 45 kg = Rs 44: Rs 20

(d) 32 m: 64 m = 6 sec: 12 sec

(e) 45 km: 60 km = 12 hours: 15 hours

Answer:

(a) 40 persons: 200 persons = Rs 15: Rs 75

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2901/Exercise%20-%2012_SS_html_m16990654.gif

True

(b) 7.5 l: 15 l = 5 kg: 10 kg

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2901/Exercise%20-%2012_SS_html_327411b3.gif

True

(c) 99 kg: 45 kg = Rs 44: Rs 20

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2901/Exercise%20-%2012_SS_html_m58a0e8d.gif

True

(d) 32 m: 64 m = 6 sec: 12 sec

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2901/Exercise%20-%2012_SS_html_m69e2760c.gif

True

(e) 45 km: 60 km = 12 hrs: 15 hrs

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2901/Exercise%20-%2012_SS_html_320f3655.gif

False

Question 4:

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

(a) 25 cm: 1 m and Rs 40 : Rs 160

(b) 39 litres: 65 litres and 6 bottles: 10 bottles

(c) 2 kg: 80 kg and 25 g: 625 g

(d) 200 mL: 2.5 litre and Rs 4: Rs 50

Answer:

(a) 25cm: 1 m and Rs 40: Rs 160

25 cm =https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2911/Exercise%20-%2012_SS_html_m692e2f33.gif = 0.25 m

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2911/Exercise%20-%2012_SS_html_3ea8642b.gif

Yes. These are in proportion.

Middle terms are 1m, Rs 40.

Extreme terms are 25 cm, Rs 160.

(b) 39 l: 65 and 6 bottles: 10 bottles

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2911/Exercise%20-%2012_SS_html_7861b865.gif

Yes. These are in proportion.

Middle terms are 65 l, 6 bottles.

Extreme terms are 39 l, 10 bottles.

(c) 2 kg: 80 kg and 25g: 625 g

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2911/Exercise%20-%2012_SS_html_64c489ca.gif

No. These are not in proportion.

(d) 200 mL: 2.5 l and Rs 4: Rs 50

1 l = 1000 mL

2.5 l = 2500 mL

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/12/2911/Exercise%20-%2012_SS_html_m1f8a971c.gif

Yes. These are in proportion.

Middle terms are 2.5 l, Rs 4.

Extreme terms are 200 mL, Rs 50.

Also Read : Exercise-12.3-Chapter-12-Ratio-and-proportion-class-6-ncert-solutions-Maths

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