MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2

MP Board Class 6th Maths Solutions 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:
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 1
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 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
Solution:
(a) True
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 3

MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2

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
Solution:
(a) 40 persons : 200 persons
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 4
∴ 40 persons : 200 persons = Rs. 15 : Rs. 75
Hence, the statement is true.
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 5

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
Solution:
(a) 25 cm : 1 m = 25 cm : (1 × 100) cm
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 6
Since the ratios are equal, therefore these are in proportion.
Middle terms are 1 m and Rs. 40 and extreme terms are 25 cm and Rs. 160.
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 7
Since the ratios are equal, therefore these are in proportion.
Middle terms are 65 litres and 6 bottles and extreme terms are 39 litres and 10 bottles.

MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 8
Since the ratios are not equal, therefore these are not in proportion.
(d) 200 ml : 2.5 litres = 200 ml: (2.5 × 1000) ml
MP Board Class 6th Maths Solutions Chapter 12 Ratio and Proportion Ex 12.2 9
Since the ratios are equal, therefore these are in proportion.
Middle terms are 2.5 litres and Rs. 4 and extreme terms are 200 ml and Rs. 50.

MP Board Class 6th Maths Solutions

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