NCERT Solutions for Class 6 Math Chapter 12 Ratio and Proportion Exercise 12.2

Exercise 12.2

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Ex-12.1
Ex-12.2
Ex-12.3

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Q 1 - Ex 12.2 - Ratio and Proportion - NCERT Maths Class 6th - Chapter 12

Page No 255:

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

Answer:

(a) 15, 45, 40, 120

Therefore, 15: 45 = 40: 120
Hence, these are in proportion.
(b) 33, 121, 9, 96

Therefore, 33: 121 ≠ 9: 96
Hence, these are not in proportion.
(c) 24, 28, 36, 48

Therefore, 24: 28 ≠ 36: 48
Hence, these are not in proportion.
(d) 32, 48, 70, 210

Therefore, 32: 48 ≠ 70: 210
Hence, these are not in proportion.
(e) 4, 6, 8, 12

Therefore, 4: 6 = 8: 12
Hence, these are in proportion.
(f) 33, 44, 75, 100

Therefore, 33: 44 = 75: 100
Hence, these are in proportion.

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Q 2 - Ex 12.2 - Ratio and Proportion - NCERT Maths Class 6th - Chapter 12

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: 24:: 20: 30

Therefore, 16: 24 = 20: 30
Hence, True
(b) 21: 6:: 35: 10

Therefore, 21: 6 = 35: 10
Hence, True
(c) 12: 18:: 28: 12

Therefore, 12: 18 ≠ 28: 12
Hence, False
(d) 8: 9:: 24: 27
As,
Therefore, True
(e) 5.2: 3.9:: 3: 4
As ,
Therefore, 5.2: 3.9 ≠ 3: 4
Hence, False
(f) 0.9: 0.36:: 10: 4

Therefore, 0.9: 0.36 = 10: 4
Hence, True

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Q 3 - Ex 12.2 - Ratio and Proportion - NCERT Maths Class 6th - Chapter 12

Page No 256:

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

Answer:

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

True
(b) 7.5 l: 15 l = 5 kg: 10 kg

True
(c) 99 kg: 45 kg = Rs 44: Rs 20

True
(d) 32 m: 64 m = 6 sec: 12 sec

True
(e) 45 km: 60 km = 12 hrs: 15 hrs

False

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Q 4 - Ex 12.2 - Ratio and Proportion - NCERT Maths Class 6th - Chapter 12

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

Answer:

(a) 25cm: 1 m and Rs 40: Rs 160
25 cm == 0.25 m

Yes. These are in proportion.
Middle terms are 1m, Rs 40.
Extreme terms are 25 cm, Rs 160.
(b) 39 l: 65 l and 6 bottles: 10 bottles

Yes. These are in proportion.
Middle terms are 65 l, 6 bottles.
Extreme terms are 39 l, 10 bottles.
(c) 2 kg: 80 kg and 25g: 625 g

No. These are not in proportion.
(d) 200 mL: 2.5 l and Rs 4: Rs 50
1 l = 1000 mL
2.5 l = 2500 mL

Yes. These are in proportion.
Middle terms are 2.5 l, Rs 4.
Extreme terms are 200 mL, Rs 50.