NCERT Solutions for Class 6 Maths Exercise 12.2

NCERT Solutions for Class 6 Maths Exercise 12.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 6 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Ratio and proportion Download as PDF

NCERT Solutions for Class 6 Maths Ratio and proportion

Class –VI Mathematics

(Ex. 12.2)

Question 1. Determine 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 = = 1 : 3

40 : 120 = = 1 : 3

Since 15 : 45 = 40 : 120

Therefore 15, 45, 40, 120 are in proportion.

(b) 33 : 121 = = 3 : 11

9 : 96 = = 3 : 32

Since 33 : 121 {tex} \ne {/tex} 9 : 96

Therefore, 33, 121, 9, 96 are not in proportion.

(c) 24 : 28 = = 6 : 7

36 : 48 = = 3 : 4

Since 24 : 28 {tex} \ne {/tex} 36 : 48

Therefore 24, 28, 36, 48 are not in proportion.

(d) 32 : 48 = = 2 : 3

70 : 210 = = 1 : 3

Since 32 : 48 {tex} \ne {/tex} 70 : 210

Therefore 32, 48, 70, 210 are not in proportion.

(e) 4 : 6 = = 2 : 3

8 : 12 = = 2 : 3

Since 4 : 6 = 8 : 12

Therefore 4, 6, 8, 12 are in proportion.

(f) 33 : 44 = = 3 : 4

75 : 100 = = 3 : 4

Since 33 : 44 = 75 : 100

Therefore 33, 44, 75, 100 are in ratio.

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NCERT Solutions for Class 6 Maths Exercise 12.2

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 : 25 : : 20 : 30 {tex} \Rightarrow {/tex} {tex} \Rightarrow {/tex}{tex}\frac{2}{3} = \frac{2}{3}{/tex}

Hence, it is True.

(b) 21 : 6 : : 35 : 10 {tex} \Rightarrow {/tex} {tex} \Rightarrow {/tex}{tex}\frac{7}{2} = \frac{7}{2}{/tex}

Hence, it is True.

(c) 12 : 18 : : 28 : 12 {tex} \Rightarrow {/tex} {tex} \Rightarrow {/tex}{tex}\frac{2}{3} \ne \frac{7}{3}{/tex}

Hence, it is False.

(d) 8 : 9 : : 24 : 27 {tex} \Rightarrow {/tex} {tex} \Rightarrow {/tex}{tex}\frac{8}{9} = \frac{8}{9}{/tex}

Hence, it is True.

(e) 5.2 : 3.9 : : 3 : 4 {tex} \Rightarrow {/tex} {tex} \Rightarrow {/tex}{tex}\frac{4}{3} \ne \frac{3}{4}{/tex}

Hence, it is False.

(f) 0.9 : 0.36 : : 10 : 4 {tex} \Rightarrow {/tex} {tex} \Rightarrow {/tex}{tex}\frac{5}{2} = \frac{5}{2}{/tex}

Hence, it is True.

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NCERT Solutions for Class 6 Maths Exercise 12.2

Question 3.Are the following statements true:

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

(b) 7.5 liters : 15 liters = 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 = = 1 : 5

Rs. 15 : Rs. 75 = = 1 : 5

Since, 40 persons : 200 persons = Rs. 15 : Rs. 75

Hence, the statement is true.

(b) 7.5 liters : 15 liters = = 1 : 2

5 kg : 10 kg = = 1 : 2

Since, 7.5 liters : 15 liters = 5 kg : 10 kg

Hence, the statement is true.

(c) 99 kg : 45 kg = = 11 : 5

Rs. 44 : Rs. 20 = = 11 : 5

Since, 99 kg : 45 kg = Rs. 44 : Rs. 20

Hence, the statement is true.

(d) 32 m : 64 m = = 1 : 2

6 sec : 12 sec = = 1 : 2

Since, 32 m : 64 m = 6 sec : 12 sec

Hence, the statement is true.

(e) 45 km : 60 km = = 3 : 4

12 hours : 15 hours = = 4 : 5

Since, 45 km : 60 km {tex} \ne {/tex} 12 hours : 15 hours

Hence, the statement is true.

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NCERT Solutions for Class 6 Maths Exercise 12.2

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 liters : 65 liters and 6 bottles : 10 bottles

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

(d) 200 ml : 2.5 ml and Rs. 4 : Rs. 50

Answer:

(a) 25 cm : 1 m = 25 cm : (1 x 100) cm = 25 cm : 100 cm = = 1 : 4

Rs. 40 : Rs. 160 = = 1 : 4

Since the ratios are equal, therefore these are in proportion.

Middle terms = 1 m, Rs. 40 and Extreme terms = 25 cm, Rs. 160

(b) 39 liters : 65 liters =

6 bottles : 10 bottles = = 3 : 5

Since the ratios are equal, therefore these are in proportion.

Middle terms = 65 liters, 6 bottles and Extreme terms = 39 liters, 10 bottles

(c) 2 kg : 80 kg = = 1 : 40

25 g : 625 g = = 1 : 25

Since the ratios are not equal, therefore these are not in proportion.

(d) 200 ml : 2.5 liters = 200 ml : (25 x 1000) liters = 200 ml : 2500 ml = = 2 : 25

Rs. 4 : Rs. 50 = = 2 : 25

Since the ratios are equal, therefore these are in proportion.

Middle terms = 2.5 liters, Rs. 4 and Extreme terms = 200 ml, Rs. 50

NCERT Solutions for Class 6 Maths Exercise 12.2

NCERT Solutions for Class 6 Maths Exercise 12.2 PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 6 Maths includes text book solutions from Class 6 Maths Book . NCERT Solutions for CBSE Class 6 Maths have total 14 chapters. 6 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 6 solutions PDF and Maths ncert class 6 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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