Class 6: Maths Chapter 8 solutions. Complete Class 6 Maths Chapter 8 Notes.
ML Aggarwal Solutions for Class 6 Maths Chapter 8- Ratio and Proportion
ML Aggarwal 6th Maths Chapter 8, Class 6 Maths Chapter 8 solutions
Exercise
1. Express the following ratios in simplest form:
(i) 20 : 40
(ii)40 : 20
(iii) 81 : 108
(iv) 98 : 63
Solution:
(i) 20 : 40 = 20/40 = ½ = 1 : 2
(ii) 40 : 20 = 40/20 = 2/1 = 2 : 1
(iii) 81 : 108 = 81/108 = 9/12 = ¾ = 3 : 4
(iv) 98 : 63 = 98/63 = 14/9 = 14 : 9
2. Fill in the missing numbers in the following equivalent ratios::
Solution
3. Find the ratio of each of the following in simplest form :
(i) 2.1 m to 1.2 m
(ii) 91 cm to 1.04m
(iii) 3.5 kg to 250gm
(iv) 60 paise to 4 rupees
(v) 1 minute to 15 seconds
(vi) 15 mm to 2 cm
Solution:
(i) 2.1 m : 1.2 m
= 2.1/ 1.2
= 21/12 × 10/10
= 7 : 4
(ii) 91 cm : 1.04mm or (1.04 × 100) cm = 104 cm [As 1 m = 100 cm]
= 91 cm : 104 cm
= 91/104
= 7 : 8
(iii) 3.5 kg : 250 gm or (3.5 × 1000) gm : 250 gm [As 1 kg = 1000 gm]
= 3500 gm : 250 gm
= 3500/250
= 14/1
= 14 : 1
(iv) 60 paise : 4 rupees or 60 paise : (4 × 100) paise [As 1 Rs = 100 paise]
= 60 paise : 400 paise
= 60/400
= 6/40
= 3/20
= 3 : 20
(v) 1 minute : 15 seconds or 60 seconds : 15 seconds [As 1 minute = 60 seconds]
= 60 : 15
= 60/15
= 4/1
= 4 : 1
(vi) 15 mm : 2 cm or 15 mm : (2 × 10) mm [As 1 cm = 10 mm]
= 15 mm : 20 mm
= 15/20
= 3/4
= 3 : 4
4. The length and the breadth of a rectangular park are 125 m and 60 m respectively. What is the ratio of the length to the breadth of the park?
Solution:
Given,
Length of rectangular park = 125 m
Breadth of rectangular park = 60 m
Hence, the ratio of the length to the breadth of park is
125/60 = 25/12 = 25 : 12
5. The population of village is 4800. If the numbers of females is 2160, find the ratio of males to that of females.
Solution:
Given,
Population of village = 4800
No. of females = 2160
No. of males = 4800 – 2160 = 2640
No. of males : No. of females
= 2640 : 2160
= 2640/2160
= 264/216
= 11/9
= 11 : 9
6. In a class, there are 30 boys and 25 girls. Find the ratio of the numbers of
(i) boys to that of girls.
(ii) girls to that of total number of students.
(iii) boys to that of total number of students.
Solution:
Given,
Boys = 30, girls = 25
Total students = 30 + 25 = 55
(i) boys : girls = 30 : 25
= 30/25 = 6/5 = 6 : 5
(ii) girls : Total no. of students = 25 : 55
= 25/55 = 5/11 = 5 : 11
(iii) Boys : Total no. of students = 30 : 55
= 30/55 = 6/11 = 6 : 11
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ML Aggarwal Solutions for Class 6 Maths Chapter 8- Ratio and Proportion
Download PDF: ML Aggarwal Solutions for Class 6 Maths Chapter 8- Ratio and Proportion PDF
Chapterwise ML Aggarwal Solutions for Class 6 Maths :
- Chapter 1- Knowing Our Numbers
- Chapter 2- Whole Numbers
- Chapter 3- Integers
- Chapter 4- Playing with Numbers
- Chapter 5- Sets
- Chapter 6- Fractions
- Chapter 7- Decimals
- Chapter 8- Ratio and Proportion
- Chapter 9- Algebra
- Chapter 10- Basic Geometrical Concept
- Chapter 11- Understanding Symmetrical Shapes
- Chapter 12- Symmetry
- Chapter 13- Practical Geometry
- Chapter 14- Mensuration
- Chapter 15- Data Handling
About ML Aggarwal
M. L. Aggarwal, is an Indian mechanical engineer, educator. His achievements include research in solutions of industrial problems related to fatigue design. Recipient Best Paper award, Manipal Institute of Technology, 2004. Member of TSTE.