New Learning Composite Mathematics Class 6 SK Gupta Anubhuti Gangal Ratio Proportion and Unitary Method Chapter 8B Solution
(1) (a) 2/3, 3/2
LCM of 3, 2 = 6
2X2/3X2 = 4/6
3X3/2X3 = 6/6
Ans – 3/2 > 2/3
(b) 3:5, 1:2
LCM of 5/2 = 10
3X2/5X2 = 6/10
1X5/2X5 = 5/10
∴ 3:5 > 1/2
Ans – 3:5 > 1:2
(c) 7:10, 11:15
LCM of 10, 15 = 30
7X3/10X3 = 21/30
11X2/15X2 = 22/30
Ans – 11:15 > 7:10
(e) 1/2: 1/3, 1/4: 1/9
= 3:2, 9:4
LCM of 2, 4 = 4
3X2/2X2 = 6/4
9X1/4X1 = 9X4
Ans – 1/4: 1/9 > 1/2 : 1/3
(d) 4:7, 42:72
= 4:7, 16:49
LCM of 7, 49 = 49
4X7/7X7 = 28/49
16X1/49X1 = 16/49
Ans – 4:7 > 42:72
(f) 5/18, 13/48
LCM of 18/48 = 144
5X8/18X8 = 40/144
13X3/48X3 = 39/144
Ans – 5/18 > 13/48
(2) Ratio of boys and girls in my school = 500:300
Ratio of boys and girls in my sister’s school = 400:250
LCM of 300 & 250 = 1500
500X5/300X5 = 2500/1500
400X6/250X6 = 2400/1500
∴ 500:300 > 400:250
Ans – my school has higher ratio of boys and girls
(3) 1:10, 5:36
LCM of 10 & 36 = 180
1X18/10X18 = 18/180
5X5/36X5 = 25/180
∴ 5:36 > 1:10
Ans – My sister’s class has better score of A+ grade.
Ok