(a) 63: 45= 7:6
(b) 256 : 512= 1: 2
(c) 66 km : 121 km= 6: 11
(d) 3 minutes : 45 minutes=1 : 15
(e) ½ hour to 45 minutes= 30 min to 45 minutes= 2 :3
(f) 1cm to 10 mm=10 mm to 10 mm=1:1
(g) 45 paise to Rs 1= 45 paise to 100 paise=9 : 20
(h) 100 mL to 2 litre= 100 mL to 2000ml= 1:20
(a) 300: 1200 =1:4
(b) Number of boys=1200-300=900
Hence Ratio = 900/300= 3:1
(c) Ratio = 900/1200= 3:4
Cost of 12 banana is Rs 180
Cost of 1 Banana is Rs 180/12 = Rs15
cost of 8 lemons is Rs 56.
Cost of 1 lemon is Rs 56/8 =Rs 7
ratio of the cost of a banana to the cost of a lemon = 15: 7
(a)25, 75, 80, 240
25: 75= 1: 3
80: 240 = 1:3
Therefore
25: 75::80: 240
(b)11, 121, 9, 99
11: 121= 1: 11
9: 99 = 1:11
Therefore
11: 121::9: 99
(c)12, 144, 25, 625
12:144= 1:12
25:625= 1:25
So not in proportion
(d)32, 48, 70, 210
32:48= 2:3
70:210=1:3
32, 48, 70, 210
(e)4, 6, 8, 12
4: 6=2:3
8: 12=2:3
Therefore
4: 6::8:12
(f) 33, 44, 75, 100
33:44= 3:4
75:100= 3:4
Therefore
33:44::75:100
(a)10 cm: 1 m and Rs 10: Rs 100
10 cm: 1 m= 1: 10
Rs 10: Rs 100 = 1:10
Therefore it is in proportion
10 cm: 1 m :: Rs 10: Rs 100
Middle Terms: 1 m and Rs 10
Extreme Terms : 10 cm and Rs 100
(b)39 litres: 65 litres and 6 bottles: 10 bottles
39 litres: 65 litres= 3: 5
6 bottles: 10 bottles = 3: 5
Therefore
39 litres: 65 litres ::6 bottles: 10 bottles
Middle Terms: 65 litres and 6 bottles
Extreme Terms : 39 litres and 10 bottles
(c)2 kg: 50 kg and 25 g: 625 g
2 kg: 50 kg = 1:25
25 g: 625 g= 1:25
Therefore
2 kg: 50 kg :: 25 g: 625 g
Middle Terms: 50 kg and 25 g
Extreme Terms : 2 kg and 625 g
(d)200 mL: 2.5 litre and Rs 4: Rs 50
Rs 4: Rs 50= 2: 25
Therefore
200 mL: 2.5 litre :: Rs 4: Rs 50
Middle Terms: 2.5 litre amd Rs 4
Extreme Terms : 200 mL and Rs 50
Earning of 10 days is Rs 20000
Earning of 1 days is Rs 20000/10=Rs 2000
Earning of 30 days is Rs 2000 * 30= Rs60000
weight of 72 books is 144 kg
weight of 1 books is 144/72=2 kg
weight of 10 books is 2 kg * = 20kg
(i)we have 32 part of same right angle triangle. 16 are shaded
So Ratio of the area of the shaded portion to that of the whole figure= 16/32= 1: 2
(ii) we have 12 small squares and 4 are shaded
So Ratio of the area of the shaded portion to that of the whole figure= 4/12= 1: 3
