RBSE Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2 Textbook Exercise Questions and Answers.

RBSE Class 6 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
Answer:
If a, b, c and d are in proportion then \(\frac{a}{b}=\frac{c}{d}\).

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

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:

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
Answer:
∵ 1 m = 100 cm
∴ 25 cm: 1 m = 25 cm : 100 cm 

∵ 25 cm : 1 m = ₹ 40 : ₹ 160
∴ 25 cm, 1 m, ₹ 40 and ₹ 160 form a proportion.
Middle terms = 1m, ₹ 40
Extreme terms = 25 m, ₹ 160  

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

∵ 39 litres: 65 litres = 6 bottles: 10 bottles
∴ 39 litres, 65 litres = 6 bottles and 10 bottles form a proportion.
Middle terms = 65 litres, 6 bottles
Extreme terms = 39 litres, 10 bottles

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

∵ 1 : 40 ≠ 1 : 25
∴ 2 kg, 80 kg, 25 g and 625 g do not form a proportion.

(d) 200 mL : 2.5 litres and ₹ 4 : ₹ 50 
Answer:
∵ 1 litre = 1000 mL
∴ 2.5 litres = 2.5 × 1000 mL = 2500mL
so, 200 mL : 2.5 litres
= 200 mL : 2500 mL