**NCERT Solutions for Class 6 Maths Chapter 12 Ratios and Proportions Ex 12.1****NCERT Solutions for Class 6 Maths Chapter 12 Ratios and Proportions Ex 12.2****NCERT Solutions for Class 6 Maths Chapter 12 Ratios and Proportions Ex 12.3**

**NCERT Solutions for Class 6 Maths Chapter 12 Ratios and Proportions Ex 12.2 ****(Rationalised Contents)**

**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

**Solution:**

∴ 15, 45, 40 and 120 are in proportion.

Since 2/3 ≠ 1/3

∴ 32, 48, 70 and 210 are not in proportion.

Thus, 4 : 6 :: 8 : 12

∴ 4, 6, 8 and 12 are in proportion.

Thus, 33 : 44 :: 75 : 100

∴ 33, 44, 75 and 100 are in
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

**Solution:****
**(a) 16 : 24 :: 20 : 30

Product of the extremes = 16 × 30 = 480

Product of the means = 24 × 20 = 480

∴ The given statement is True (T).

(b) 21 : 6 :: 35 : 10

Product of the extremes = 21 × 10 = 210

Product of the means = 6 × 35 = 210

∴ The given statement is True (T).

(c) 12 : 18 :: 28 : 12

Product of the extremes = 12 × 12 = 144

Product of the means = 18 × 28 = 504

Since 144 ≠ 504

∴ The given statement is False (F).

(d) 8 : 9 :: 24 : 27

Product of the extremes = 8 × 27 = 216

The product of the means = 9 × 24 = 216

The given statement is True (T).

(e) 5.2 : 3.9 :: 3 : 4

Product of the extremes = 5.2 × 4 = 20.8

Product of the means = 3.9 × 3 = 11.7

Since 20.8 ≠ 11.7

The given statement is False (F).

(f) 0.9 : 0.36 :: 10 : 4

Product of the extremes = 0.9 × 4 = 3.6

Product of the means = 0.36 × 10 = 3.6

∴ The given statement is True (T).

**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

**Solution:
**(a) 40 persons : 200 persons = ₹15 : ₹75

40 persons : 200 persons

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

7.5 litres : 15 litres

**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 litres and ₹ 4 : ₹ 50

**Solution:
**(a) 25 cm : 1 m = 25 cm : 100 cm [∵ 1 m = 100 cm]

∴ The given ratios form a proportion.

Extreme terms are 25 cm and ₹ 160.

Middle terms are 1 m and ₹40.

Extreme terms are 39 litres and 10 bottles.

Middle terms are 65 litres and 6 bottles.

(d) 200 mL : 2.5 litres = 200 mL : 2.5 × 1000 mL

Extreme terms are 200 mL and ₹ 50.

Middle terms are 2.5 litres and ₹ 4.

**Related Links:**

**NCERT Solutions for Maths Class 7**

**NCERT Solutions for Maths Class 8**

**NCERT Solutions for Maths Class 9**

**NCERT Solutions for Maths Class 10**