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 Ratio And Proportion Exercise 12.2 Class 6 Maths Chapter 12 Ratio And Proportion Exercise 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 32
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 33
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 34
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 35
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 36
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 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
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 40
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 41
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 42
Since the two ratios are equal, therefore, the given statement is true.
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 43
Since the two ratios are equal, therefore, the given statement is true.
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 44
Since, the two ratios are equal, therefore, the given statement is true.
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 45
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 46
Since the two ratios are equal, therefore the given statement is true.
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 47
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 48
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 49
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 50
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion 51
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 52
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.