NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2, are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2

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

Solution :

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 35

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 36

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 37

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 38

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 39

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

Solution :

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 40

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 44

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 45

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 46

Question 3.

Are the following statements true₹ I

(a) 40 Persons : 200 Persons =₹ 15: ₹75 ;

(b) 7.5 litre : 15 litre = 5 kg : 10 kg 1

(c) 99 kg : 45 kg = f 44 : ₹20

(d) 32 m : 64 m = 6 sec: 12 sec

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

Solution :

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 47

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 48

Since the two ratios are equal, therefore, the given statement is true.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 49

Since the two ratios are equal, therefore, the given statement is true.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 50

Since, the two ratios are equal, therefore, the given statement is true.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 51

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 52

Since the two ratios are equal, therefore the given statement is true.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 54

Since the two ratios are not equal, therefore the given statement is 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 7 40 : 7160

(b) 39 litre : 65 litre and 6 bottle : 10 bottle

(c) 2 kg : 80 kg and 25 g : 625 g

(d) 200 ml: 2.5 litre and ₹4 ; ₹ 50.

Solution :

(a)

∴ 1 m= 100 cm

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 55

Since the two ratios are equal, therefore, the given ratios are in proportion. Middle terms are 1 m and ₹ 40. Extreme terms are 25 cm and ₹ 160.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 56

Since the two ratios are equal, therefore, the given ratios are in proportion. Middle terms are 65 liters and 6 bottles. Extreme terms are 39 liters and 10 bottles.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 57

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 58

Since the two ratios are not equal, therefore, the given ratios are not in proportion.

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 59

Since the two ratios are equal, therefore, the given ratios are in proportion. Middle terms are 2.5 litres and ₹ 4. Extreme terms are 200 ml and ₹ 50.

We hope the NCERT Solutions for Class 6
Maths Chapter 12 Ratio and Proportion Ex 12.2, help you. If you have any query regarding NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2, drop a comment below and we will get back to you at the earliest.

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