NCERT Class 6 Mathematics Twelfth Chapter Ratio And Proportion Exercise 12.2 Solution
EXERCISE 12.2
(1) Determine if the following are in proportion.
(a) 15, 45, 40, 120
Solution: We know, 1st term × 4th term = 2nd term × 3rd term
So, 15 × 120 = 45 × 40
Or, 1800 = 1800
Ans: Yes
(b) 33, 121, 9, 96
Solution: 33 × 96 = 121 × 9
Or, 3168 = 1089
Ans: No
(c) 24, 28, 36, 48
Solution: 24 × 48 = 28 × 36
Or, 1152 = 1008
Ans: No
(d) 32, 48, 70, 210
Solution: 32 × 210 = 48 × 70
Or, 6720 = 3360
Ans: No
(e) 4, 6, 8, 12
Solution: 4 × 12 = 6 × 8
Or, 48 = 48
Ans: Yes
(f) 33, 44, 75, 100
Solution: 33 × 100 = 44 × 75
Or, 3300 = 3300
Ans: Yes
(2) Write True (T) or False (F) against each of the following statements:
(a) 16 : 24 :: 20 : 30
Solution: We know, 1st term × 4th term = 2nd term × 3rd term
So, 16 × 30 = 24 × 20
Or, 480 = 480
Ans: True
(b) 21: 6 :: 35 : 10
Solution: 21 × 10 = 6 × 35
Or, 210 = 210
Ans: True
(c) 12 : 18 :: 28 : 12
Solution: 12 × 12 = 18 × 28
Or, 144 = 504
Ans: False
(d) 8 : 9 :: 24 : 27
Solution: 8 × 27 = 9 × 24
Or, 216 = 216
Ans: True
(e) 5.2 : 3.9 :: 3 : 4
Solution: 5.2 × 4 = 3.9 × 3
Or, 20.8 = 11.7
Ans: False
(f) 0.9 : 0.36 :: 10 : 4
Solution: 0.9 × 4 = 0.36 × 10
Or, 3.6 = 3.6
Ans: True
(3) Are the following statements true?
(a) 40 persons : 200 persons = RS 15 : Rs 75
Solution: We know, 1st term × 4th term = 2nd term × 3rd term
So, 40 × 75 = 200 × 15
Or, 3000 = 3000
Ans: True
(b) 7.5 litres : 15 litres = 5 kg : 10 kg
Solution: 7.5 × 10 = 15 × 5
Or, 75 = 75
Ans: True
(c) 99 kg : 45 kg = Rs 44 : Rs 20
Solution: 99 × 20 = 45 × 44
Or, 1980 = 1980
Ans: True
(d) 32 m : 64 m = 6 sec : 12 sec
Solution: 32 × 12 = 64 × 6
Or, 384 = 384
Ans: True
(e) 45 km : 60 km = 12 hours : 15 hours
Solution: 45 × 15 = 60 × 12
Or, 675 = 720
Ans: False
In case you are missed :- Previous Chapter Exercise Solution
(4) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
Or, 4000 = 4000
Yes, the terms are in a proportion.
Middle term is 1 m, Rs 40.
Extreme term is 25 cm, Rs 160.
(b)39 litres : 65 litres and 6 bottles : 10 bottles
Yes, the terms are in a proportion.
Middle term is 65 liter, 6 bottles.
Extreme term is 39 liter, 10 bottles.
(c) 2 kg : 80 kg and 25 g : 625 g
(d) 200 mL : 2.5 litre and Rs 4 : Rs 50
Solution: Here, 2.5 litre = 2500 mL
∴ 200 : 2500 : : 4 : 50
In case you are missed :- Next Chapter Exercise Solution
