Chapter 12 Exercise 12.1 Chapter 12 Exercise 12.3 |

**NCERT Answers for Class 6 Maths**

Chapter 12 Ratio and Proportion Exercise 12.2

Chapter 12 Ratio and Proportion Exercise 12.2

**Page 255**

**Ex 12.2 Class 6 Maths 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**

15 / 45 = 1 / 3

40 / 120 = 1 / 3

Hence, 15: 45 = 40:120

∴ These are in a proportion

**(b) 33, 121, 9, 96**

33 / 121 = 3 / 11

9 / 96 = 3 / 32

Hence 33:121 ≠ 9: 96

∴ These are not in a proportion

**(c) 24, 28, 36, 48**

24 / 28 = 6 / 7

36 / 48 = 3 / 4

Hence, 24: 28 ≠ 36:48

∴ These are not in a proportion

**(d) 32, 48, 70, 210**

32 / 48 = 2 / 3

70 / 210 = 1 / 3

Hence, 32: 48 ≠ 70: 210

∴ These are not in a proportion

**(e) 4, 6, 8, 12**

4 / 6 = 2 / 3

8 / 12 = 2 / 3

Hence 4: 6 = 8: 12

∴ These are in a proportion

**(f) 33, 44, 75, 100**

33/ 44 = 3/ 4

75 / 100 = 3 / 4

Hence, 33:44 = 75: 100

∴ These are in a proportion

**Ex 12.2 Class 6 Maths 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

16 / 24 = 2 / 3

20 / 30 = 2 / 3

Hence, 16: 24 = 20: 30

Therefore True

**(b) 21: 6:: 35: 10**

21 / 6 = 7 / 2

35 / 10 = 7 / 2

Hence, 21: 6 = 35: 10

Therefore True

**(c) 12: 18 :: 28: 12**

12 / 18 = 2 / 3

28 / 12 = 7 / 3

Hence, 12: 18 ≠ 28:12

Therefore False

**(d) 8: 9:: 24: 27**

We know that = 24 / 27 = (3 × 8) / (3 × 9)

= 8 / 9

Hence, 8: 9 = 24: 27

Therefore True

**(e) 5.2: 3.9:: 3: 4**

As 5.2 / 3.9 = 3 / 4

Hence, 5.2: 3.9 ≠ 3: 4

Therefore False

**(f) 0.9: 0.36:: 10: 4**

0.9 / 0.36 = 90 / 36

= 10 / 4

Hence, 0.9: 0.36 = 10: 4

Therefore True

**Ex 12.2 Class 6 Maths Question 3. Are the following statements true?
(a) 40 persons : 200 persons = ₹ 15 : ₹ 75
(b) 7.5 litres : 15 litres = 5 kg : 10 kg
(c) 99 kg : 45 kg = ₹ 44 : ₹ 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 = ₹ 15 : ₹ 75**

40 / 200 = 1 / 5

15 / 75 = 1 / 5

Hence, True

**(b) 7.5 litres : 15 litres = 5 kg : 10 kg**

7.5 / 15 = 1 / 2

5 / 10 = 1 / 2

Hence, True

**(c) 99 kg : 45 kg = ₹ 44 : ₹ 20**

99 / 45 = 11 / 5

44 / 20 = 11 / 5

Hence, True

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

32 / 64 = 1 / 2

6 / 12 = 1 / 2

Hence, True

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

45 / 60 = 3 / 4

12 / 15 = 4 / 5

Hence, False

**Ex 12.2 Class 6 Maths 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 ₹ 40 : ₹ 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 ₹ 4 : ₹ 50**

**Answer**

**(a) 25 cm : 1 m and ₹ 40 : ₹ 160**

25 cm = 25 / 100 m

= 0.25 m

0.25 / 1 = 1 / 4

40 / 160 = 1 / 4

Yes, these are in a proportion

Middle terms are 1 m, ₹ 40 and Extreme terms are 25 cm, ₹ 160

**(b) 39 litres : 65 litres and 6 bottles : 10 bottles**

39 / 65 = 3 /5

6 / 10 = 3 / 5

Yes, these are in a proportion

Middle terms are 65 litres, 6 bottles and Extreme terms are 39 litres, 10 bottles

**(c) 2 kg : 80 kg and 25 g : 625 g**

2 / 80 = 1 / 40

25 / 625 = 1 / 25

No, these are not in a proportion

**(d) 200 mL : 2.5 litre and ₹ 4 : ₹ 50**

1 litre = 1000 ml

2.5 litre = 2500 ml

200 / 2500 = 2 / 5

4 / 50 = 2 / 25

Yes, these are in a proportion

Middle terms arte 2.5 litres, ₹ 4 and Extreme terms are 200 ml, ₹ 50

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