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 Page 1


Question:1
Convert each of the following fraction into a percentage:
i
47
100
ii
  
9
20
iii
3
8
iv
8
125
v
19
500
vi
4
15
vii
2
3
viii
1
3
5
Solution:
We have the following:
i
47
100
=
47
100
×100 % = 47 %
ii
9
20
=
9
20
×100 % = (9 ×5)% = 45 %
iii
3
8
=
3
8
×100 % =
3×25
2
% =
75
2
% = 37
1
2
%
iv
8
125
=
8
125
×100 % =
8×4
5
% =
32
5
% = 6. 4 %
( )
( )
( ) ( ) ( )
( ) ( ) ( )
Page 2


Question:1
Convert each of the following fraction into a percentage:
i
47
100
ii
  
9
20
iii
3
8
iv
8
125
v
19
500
vi
4
15
vii
2
3
viii
1
3
5
Solution:
We have the following:
i
47
100
=
47
100
×100 % = 47 %
ii
9
20
=
9
20
×100 % = (9 ×5)% = 45 %
iii
3
8
=
3
8
×100 % =
3×25
2
% =
75
2
% = 37
1
2
%
iv
8
125
=
8
125
×100 % =
8×4
5
% =
32
5
% = 6. 4 %
( )
( )
( ) ( ) ( )
( ) ( ) ( )
v
19
500
=
19
500
×100 % =
19
5
% = 3. 8 %
vi
4
15
=
4
15
×100 % =
4×20
3
% =
80
3
% = 26
2
3
%
vii
2
3
=
2
3
×100 % =
200
3
% = 66
2
3
%
viii
1
3
5
=
8
5
=
8
5
×100 % = 8 ×20 % = 160 %
Question:2
Convert each of the following into a fraction:
i
32%
ii
6
1
4
%
iii
26
2
3
%
iv
120%
v
6.25%
vi
0.8%
vii
0.06%
viii
22.75%
Solution:
We have the following:
i
32 % =
32
100
=
8
25
ii
6
1
4
% =
25
4
% =
25
4
×
1
100
=
1
16
( ) ( )
( ) ( ) ( )
( ) ( )
( ) ( )
( )
( ) ( )
Page 3


Question:1
Convert each of the following fraction into a percentage:
i
47
100
ii
  
9
20
iii
3
8
iv
8
125
v
19
500
vi
4
15
vii
2
3
viii
1
3
5
Solution:
We have the following:
i
47
100
=
47
100
×100 % = 47 %
ii
9
20
=
9
20
×100 % = (9 ×5)% = 45 %
iii
3
8
=
3
8
×100 % =
3×25
2
% =
75
2
% = 37
1
2
%
iv
8
125
=
8
125
×100 % =
8×4
5
% =
32
5
% = 6. 4 %
( )
( )
( ) ( ) ( )
( ) ( ) ( )
v
19
500
=
19
500
×100 % =
19
5
% = 3. 8 %
vi
4
15
=
4
15
×100 % =
4×20
3
% =
80
3
% = 26
2
3
%
vii
2
3
=
2
3
×100 % =
200
3
% = 66
2
3
%
viii
1
3
5
=
8
5
=
8
5
×100 % = 8 ×20 % = 160 %
Question:2
Convert each of the following into a fraction:
i
32%
ii
6
1
4
%
iii
26
2
3
%
iv
120%
v
6.25%
vi
0.8%
vii
0.06%
viii
22.75%
Solution:
We have the following:
i
32 % =
32
100
=
8
25
ii
6
1
4
% =
25
4
% =
25
4
×
1
100
=
1
16
( ) ( )
( ) ( ) ( )
( ) ( )
( ) ( )
( )
( ) ( )
iii
26
2
3
% =
80
3
% =
80
3
×
1
100
=
4×1
3×5
=
4
15
iv
120 % =
120
100
=
6
5
= 1
1
5
v
6. 25 % =
6.25
100
=
625
100×100
=
25
400
=
1
16
vi
0. 8 % =
0.8
100
=
8
10×100
=
8
1000
=
1
125
vii
0. 06 % =
0.06
100
=
6
100×100
=
6
10000
=
3
5000
viii
  22. 75 % =
22.75
100
=
2275
100×100
=
91
400
Question:3
Express each of the following as a ratio:
i
43%
ii
36%
iii
7.5%
iv
125%
Solution:
We have:
i
43 % =
43
100
= 43 : 100
ii
36 % =
36
100
=
9
25
= 9 : 25
( ) ( ) ( )
( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( )
Page 4


Question:1
Convert each of the following fraction into a percentage:
i
47
100
ii
  
9
20
iii
3
8
iv
8
125
v
19
500
vi
4
15
vii
2
3
viii
1
3
5
Solution:
We have the following:
i
47
100
=
47
100
×100 % = 47 %
ii
9
20
=
9
20
×100 % = (9 ×5)% = 45 %
iii
3
8
=
3
8
×100 % =
3×25
2
% =
75
2
% = 37
1
2
%
iv
8
125
=
8
125
×100 % =
8×4
5
% =
32
5
% = 6. 4 %
( )
( )
( ) ( ) ( )
( ) ( ) ( )
v
19
500
=
19
500
×100 % =
19
5
% = 3. 8 %
vi
4
15
=
4
15
×100 % =
4×20
3
% =
80
3
% = 26
2
3
%
vii
2
3
=
2
3
×100 % =
200
3
% = 66
2
3
%
viii
1
3
5
=
8
5
=
8
5
×100 % = 8 ×20 % = 160 %
Question:2
Convert each of the following into a fraction:
i
32%
ii
6
1
4
%
iii
26
2
3
%
iv
120%
v
6.25%
vi
0.8%
vii
0.06%
viii
22.75%
Solution:
We have the following:
i
32 % =
32
100
=
8
25
ii
6
1
4
% =
25
4
% =
25
4
×
1
100
=
1
16
( ) ( )
( ) ( ) ( )
( ) ( )
( ) ( )
( )
( ) ( )
iii
26
2
3
% =
80
3
% =
80
3
×
1
100
=
4×1
3×5
=
4
15
iv
120 % =
120
100
=
6
5
= 1
1
5
v
6. 25 % =
6.25
100
=
625
100×100
=
25
400
=
1
16
vi
0. 8 % =
0.8
100
=
8
10×100
=
8
1000
=
1
125
vii
0. 06 % =
0.06
100
=
6
100×100
=
6
10000
=
3
5000
viii
  22. 75 % =
22.75
100
=
2275
100×100
=
91
400
Question:3
Express each of the following as a ratio:
i
43%
ii
36%
iii
7.5%
iv
125%
Solution:
We have:
i
43 % =
43
100
= 43 : 100
ii
36 % =
36
100
=
9
25
= 9 : 25
( ) ( ) ( )
( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( )
iii
7. 5 % =
7.5
100
=
75
10×100
=
3
40
= 3 : 40
iv
125 % =
125
100
=
5
4
= 5 : 4
Question:4
Convert each of the following ratios into a percentage:
i
37 : 100
ii
16 : 25
iii
3 : 5
iv
5 : 4
Solution:
We have the following:
i
37 : 100 = 
37
100
=
37
100
×100 % = 37 %
ii
16 : 25 = 
16
25
=
16
25
×100 % = (16 ×4)% = 64 %
iii
3 : 5 =
3
5
=
3
5
×100 % = (3 ×20)% = 60 %
iv
5 : 4 = 
5
4
=
5
4
×100 % = (5 ×25)% = 125 %
Question:5
Convert each of the following into decimal form:
i
45%
ii
127%
iii
3.6%
iv
0.23%
Solution:
We have the following:
( ) ( )
( )
( )
( )
( )
Page 5


Question:1
Convert each of the following fraction into a percentage:
i
47
100
ii
  
9
20
iii
3
8
iv
8
125
v
19
500
vi
4
15
vii
2
3
viii
1
3
5
Solution:
We have the following:
i
47
100
=
47
100
×100 % = 47 %
ii
9
20
=
9
20
×100 % = (9 ×5)% = 45 %
iii
3
8
=
3
8
×100 % =
3×25
2
% =
75
2
% = 37
1
2
%
iv
8
125
=
8
125
×100 % =
8×4
5
% =
32
5
% = 6. 4 %
( )
( )
( ) ( ) ( )
( ) ( ) ( )
v
19
500
=
19
500
×100 % =
19
5
% = 3. 8 %
vi
4
15
=
4
15
×100 % =
4×20
3
% =
80
3
% = 26
2
3
%
vii
2
3
=
2
3
×100 % =
200
3
% = 66
2
3
%
viii
1
3
5
=
8
5
=
8
5
×100 % = 8 ×20 % = 160 %
Question:2
Convert each of the following into a fraction:
i
32%
ii
6
1
4
%
iii
26
2
3
%
iv
120%
v
6.25%
vi
0.8%
vii
0.06%
viii
22.75%
Solution:
We have the following:
i
32 % =
32
100
=
8
25
ii
6
1
4
% =
25
4
% =
25
4
×
1
100
=
1
16
( ) ( )
( ) ( ) ( )
( ) ( )
( ) ( )
( )
( ) ( )
iii
26
2
3
% =
80
3
% =
80
3
×
1
100
=
4×1
3×5
=
4
15
iv
120 % =
120
100
=
6
5
= 1
1
5
v
6. 25 % =
6.25
100
=
625
100×100
=
25
400
=
1
16
vi
0. 8 % =
0.8
100
=
8
10×100
=
8
1000
=
1
125
vii
0. 06 % =
0.06
100
=
6
100×100
=
6
10000
=
3
5000
viii
  22. 75 % =
22.75
100
=
2275
100×100
=
91
400
Question:3
Express each of the following as a ratio:
i
43%
ii
36%
iii
7.5%
iv
125%
Solution:
We have:
i
43 % =
43
100
= 43 : 100
ii
36 % =
36
100
=
9
25
= 9 : 25
( ) ( ) ( )
( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( )
iii
7. 5 % =
7.5
100
=
75
10×100
=
3
40
= 3 : 40
iv
125 % =
125
100
=
5
4
= 5 : 4
Question:4
Convert each of the following ratios into a percentage:
i
37 : 100
ii
16 : 25
iii
3 : 5
iv
5 : 4
Solution:
We have the following:
i
37 : 100 = 
37
100
=
37
100
×100 % = 37 %
ii
16 : 25 = 
16
25
=
16
25
×100 % = (16 ×4)% = 64 %
iii
3 : 5 =
3
5
=
3
5
×100 % = (3 ×20)% = 60 %
iv
5 : 4 = 
5
4
=
5
4
×100 % = (5 ×25)% = 125 %
Question:5
Convert each of the following into decimal form:
i
45%
ii
127%
iii
3.6%
iv
0.23%
Solution:
We have the following:
( ) ( )
( )
( )
( )
( )
i
45% = 
45
100
= 0. 45
ii
127% = 
127
100
= 1. 27
iii
3.6% =
3.6
100
=
36
10×100
=
36
1000
= 0. 036
iv
0.23% =
0.23
100
=
23
100×100
=
23
10000
= 0. 0023
Question:6
Convert each of the following decimals into a percentage:
i
0.6
ii
0.42
iii
0.07
iv
0.005
Solution:
We have:
i
0.6 = (0.6 ×
100)% = 60%
ii
0.42 = (0.42 ×
100)% = 42%
iii
0.07 = (0.07 ×
100)% = 7%
iv
0.005 = (0.005 ×
100)% = 0.5%
Question:7
Find:
i
32% of 425
ii
16
2
3
% of 16
( )
( )
( ) ( )
( ) ( )

	Mathematics (Maths) Class 7 (Old NCERT) 76 videos\|452 docs\|39 tests

Mathematics (Maths) Class 7 (Old NCERT)

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FAQs on RS Aggarwal Solutions: Percentage - Mathematics (Maths) Class 7 (Old NCERT)

1. What are the basic concepts of percentages in Class 7?

Ans. In Class 7, the basic concepts of percentages include understanding what percentages are, how to convert fractions and decimals into percentages, and how to calculate percentages of a given quantity.

2. How can I convert a fraction into a percentage in Class 7?

Ans. To convert a fraction into a percentage, you can multiply the fraction by 100 and add a percentage symbol (%). For example, to convert 3/4 into a percentage, you can multiply 3/4 by 100 to get 75%.

3. How do I calculate the percentage of a given quantity in Class 7?

Ans. To calculate the percentage of a given quantity, you can use the formula: Percentage = (Part/Whole) x 100. For example, if you want to find out what percent 25 is of 100, you can use (25/100) x 100 = 25%.

4. How can I find the original quantity if I know the percentage increase or decrease in Class 7?

Ans. If you know the percentage increase or decrease and the final quantity, you can calculate the original quantity using the formula: Original Quantity = Final Quantity / (1 + Percentage Increase/Decrease). For example, if the final quantity is 120 and there was a 20% decrease, the original quantity would be 120 / (1 - 0.20) = 150.

5. How can I calculate the percentage change between two quantities in Class 7?

Ans. To calculate the percentage change between two quantities, you can use the formula: Percentage Change = ((New Value - Old Value) / Old Value) x 100. For example, if the old value is 50 and the new value is 75, the percentage change would be ((75 - 50) / 50) x 100 = 50%.

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Sep 07, 2025 Last updated

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