New Learning Composite Mathematics Class 6 SK Gupta Anubhuti Gangal Ratio Proportion and Unitary Method Chapter 8B Solution

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.