Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > RS Aggarwal Solutions: Exercise 9B - Percentage
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Page 2
Question:25
Tick
? the correct answer:
0.8% when expressed as a decimal, is
a
0.08
b
0.008
c
8
d
0.8
Solution:
b
0.008
0. 8 % =
0.8
100
= 0. 008
Question:26
Tick
? the correct answer:
6 : 5 when expressed as a percentage, is
a
83
1
3
%
b
90%
c
120%
d
6.5%
Solution:
c
120%
6: 5 =
6
5
=
6
5
×100 % = 120 %
Question:27
Tick
? the correct answer:
5% of a number is 9. The number is
a
45
b
90
c
135
d
180
Solution:
d
180
Let x be the required number. Then, we have: 5 % of x = 9 ? x ×
5
100
= 9 ?
5x
100
= 9 ? x = 9 ×
100
5
? x = 180
Question:28
Tick
? the correct answer:
What per cent of 92 is 120?
a
75%
b
33
1
3
%
c
133
1
3
%
d
none of these
Solution:
c
133
1
3
%
Required percentage =
120
90
×100 % = 133
1
3
%
Question:29
Tick
? the correct answer:
What per cent of 10 kg is 250 g?
a
25%
( )
( ) ( )
( )
Page 3
Question:25
Tick
? the correct answer:
0.8% when expressed as a decimal, is
a
0.08
b
0.008
c
8
d
0.8
Solution:
b
0.008
0. 8 % =
0.8
100
= 0. 008
Question:26
Tick
? the correct answer:
6 : 5 when expressed as a percentage, is
a
83
1
3
%
b
90%
c
120%
d
6.5%
Solution:
c
120%
6: 5 =
6
5
=
6
5
×100 % = 120 %
Question:27
Tick
? the correct answer:
5% of a number is 9. The number is
a
45
b
90
c
135
d
180
Solution:
d
180
Let x be the required number. Then, we have: 5 % of x = 9 ? x ×
5
100
= 9 ?
5x
100
= 9 ? x = 9 ×
100
5
? x = 180
Question:28
Tick
? the correct answer:
What per cent of 92 is 120?
a
75%
b
33
1
3
%
c
133
1
3
%
d
none of these
Solution:
c
133
1
3
%
Required percentage =
120
90
×100 % = 133
1
3
%
Question:29
Tick
? the correct answer:
What per cent of 10 kg is 250 g?
a
25%
( )
( ) ( )
( )
b
5%
c
10%
d
2.5%
Solution:
d
2.5%
Required percentage =
250
(10×1000)
×100 % = 2. 5 %
Question:30
Tick
? the correct answer:
40% of ? = 240
a
60
b
600
c
6000
d
960
Solution:
b
600
Let the required number be x. Then, we have: 40 % of x = 240 ? x ×
40
100
= 240 ?
40x
100
= 240 ? x = 240 ×
100
40
? x = 600
Question:31
Tick
? the correct answer:
?% of 400 = 60
a
6
b
12
c
15
d
20
Solution:
c
15
Let the required number be x. Then, we have: x % of 400 = 60 ? 400 ×
x
100
= 60 ?
400x
100
= 60 ? 4x = 60 ? x =
60
4
? x = 15
Question:32
Tick
? the correct answer:
180
÷ 2 = 504
a
400
b
480
c
600
d
560
Solution:
d
560
Let the required number be x. Then, we have: (180 % of x)÷2 = 504 ? x ×
180
100
÷2 = 504 ?
180x
100
÷2 = 504 ?
180x
100
×
1
2
= 504 ?
9x
10
= 504 ? x = 504 ×
10
9
? x = 560
Question:33
Tick
? the correct answer:
20% of Rs 800 = ?
a
Rs 160
b
Rs 16
c
Rs 1600
d
none of these
Solution:
a
Rs 160
( )
( ) ( )
( )
( ) ( ) ( ) ( )
( )
Page 4
Question:25
Tick
? the correct answer:
0.8% when expressed as a decimal, is
a
0.08
b
0.008
c
8
d
0.8
Solution:
b
0.008
0. 8 % =
0.8
100
= 0. 008
Question:26
Tick
? the correct answer:
6 : 5 when expressed as a percentage, is
a
83
1
3
%
b
90%
c
120%
d
6.5%
Solution:
c
120%
6: 5 =
6
5
=
6
5
×100 % = 120 %
Question:27
Tick
? the correct answer:
5% of a number is 9. The number is
a
45
b
90
c
135
d
180
Solution:
d
180
Let x be the required number. Then, we have: 5 % of x = 9 ? x ×
5
100
= 9 ?
5x
100
= 9 ? x = 9 ×
100
5
? x = 180
Question:28
Tick
? the correct answer:
What per cent of 92 is 120?
a
75%
b
33
1
3
%
c
133
1
3
%
d
none of these
Solution:
c
133
1
3
%
Required percentage =
120
90
×100 % = 133
1
3
%
Question:29
Tick
? the correct answer:
What per cent of 10 kg is 250 g?
a
25%
( )
( ) ( )
( )
b
5%
c
10%
d
2.5%
Solution:
d
2.5%
Required percentage =
250
(10×1000)
×100 % = 2. 5 %
Question:30
Tick
? the correct answer:
40% of ? = 240
a
60
b
600
c
6000
d
960
Solution:
b
600
Let the required number be x. Then, we have: 40 % of x = 240 ? x ×
40
100
= 240 ?
40x
100
= 240 ? x = 240 ×
100
40
? x = 600
Question:31
Tick
? the correct answer:
?% of 400 = 60
a
6
b
12
c
15
d
20
Solution:
c
15
Let the required number be x. Then, we have: x % of 400 = 60 ? 400 ×
x
100
= 60 ?
400x
100
= 60 ? 4x = 60 ? x =
60
4
? x = 15
Question:32
Tick
? the correct answer:
180
÷ 2 = 504
a
400
b
480
c
600
d
560
Solution:
d
560
Let the required number be x. Then, we have: (180 % of x)÷2 = 504 ? x ×
180
100
÷2 = 504 ?
180x
100
÷2 = 504 ?
180x
100
×
1
2
= 504 ?
9x
10
= 504 ? x = 504 ×
10
9
? x = 560
Question:33
Tick
? the correct answer:
20% of Rs 800 = ?
a
Rs 160
b
Rs 16
c
Rs 1600
d
none of these
Solution:
a
Rs 160
( )
( ) ( )
( )
( ) ( ) ( ) ( )
( )
20 % of Rs 800 = Rs 800 ×
20
100
= Rs 160
Question:34
Tick
? the correct answer:
In an examination, Nitin gets 98 marks. This amounts to 56% of the maximum marks. What are the maximum marks?
a
75
b
150
c
175
d
225
Solution:
c
175
Let the maximum marks be x. Then, we have: 56 % of x = x ×
56
100
=
56x
100
Now,
56x
100
= 98 ? x = 98 ×
100
56
? x = 175
Question:35
Tick
? the correct answer:
A number is first increased by 10% and then reduced by 10%. The number
a
does not change
b
decrease by 1 %
c
increases by 1 %
d
none of these
Solution:
b
decrease by 1 %
Let x be the number. A 10 % increase will give a new number,
110
100
x =
11
10
xThe number is then reduced by 10 %. The new number will be
90
100
11
10
x =
990
1000
x =
99
100
xDifference = x -
99
100
x =
1
100
x
Question:36
Tick
? the correct answer:
A period of 4 hours 30 min is what per cent of a day?
a
18
3
4
%
b
20%
c
16
2
3
%
d
19%
Solution:
a
18
3
4
%
4 h 30 min = (4 ×60 ×60)+(30 ×60)
= 16200 sec
24 h = (24 ×60 ×60)
= 86400 sec
Now,
16200
86400
×100 % = 18
3
4
%
Question:37
Tick
( )
( )
( )
( )
( )
Page 5
Question:25
Tick
? the correct answer:
0.8% when expressed as a decimal, is
a
0.08
b
0.008
c
8
d
0.8
Solution:
b
0.008
0. 8 % =
0.8
100
= 0. 008
Question:26
Tick
? the correct answer:
6 : 5 when expressed as a percentage, is
a
83
1
3
%
b
90%
c
120%
d
6.5%
Solution:
c
120%
6: 5 =
6
5
=
6
5
×100 % = 120 %
Question:27
Tick
? the correct answer:
5% of a number is 9. The number is
a
45
b
90
c
135
d
180
Solution:
d
180
Let x be the required number. Then, we have: 5 % of x = 9 ? x ×
5
100
= 9 ?
5x
100
= 9 ? x = 9 ×
100
5
? x = 180
Question:28
Tick
? the correct answer:
What per cent of 92 is 120?
a
75%
b
33
1
3
%
c
133
1
3
%
d
none of these
Solution:
c
133
1
3
%
Required percentage =
120
90
×100 % = 133
1
3
%
Question:29
Tick
? the correct answer:
What per cent of 10 kg is 250 g?
a
25%
( )
( ) ( )
( )
b
5%
c
10%
d
2.5%
Solution:
d
2.5%
Required percentage =
250
(10×1000)
×100 % = 2. 5 %
Question:30
Tick
? the correct answer:
40% of ? = 240
a
60
b
600
c
6000
d
960
Solution:
b
600
Let the required number be x. Then, we have: 40 % of x = 240 ? x ×
40
100
= 240 ?
40x
100
= 240 ? x = 240 ×
100
40
? x = 600
Question:31
Tick
? the correct answer:
?% of 400 = 60
a
6
b
12
c
15
d
20
Solution:
c
15
Let the required number be x. Then, we have: x % of 400 = 60 ? 400 ×
x
100
= 60 ?
400x
100
= 60 ? 4x = 60 ? x =
60
4
? x = 15
Question:32
Tick
? the correct answer:
180
÷ 2 = 504
a
400
b
480
c
600
d
560
Solution:
d
560
Let the required number be x. Then, we have: (180 % of x)÷2 = 504 ? x ×
180
100
÷2 = 504 ?
180x
100
÷2 = 504 ?
180x
100
×
1
2
= 504 ?
9x
10
= 504 ? x = 504 ×
10
9
? x = 560
Question:33
Tick
? the correct answer:
20% of Rs 800 = ?
a
Rs 160
b
Rs 16
c
Rs 1600
d
none of these
Solution:
a
Rs 160
( )
( ) ( )
( )
( ) ( ) ( ) ( )
( )
20 % of Rs 800 = Rs 800 ×
20
100
= Rs 160
Question:34
Tick
? the correct answer:
In an examination, Nitin gets 98 marks. This amounts to 56% of the maximum marks. What are the maximum marks?
a
75
b
150
c
175
d
225
Solution:
c
175
Let the maximum marks be x. Then, we have: 56 % of x = x ×
56
100
=
56x
100
Now,
56x
100
= 98 ? x = 98 ×
100
56
? x = 175
Question:35
Tick
? the correct answer:
A number is first increased by 10% and then reduced by 10%. The number
a
does not change
b
decrease by 1 %
c
increases by 1 %
d
none of these
Solution:
b
decrease by 1 %
Let x be the number. A 10 % increase will give a new number,
110
100
x =
11
10
xThe number is then reduced by 10 %. The new number will be
90
100
11
10
x =
990
1000
x =
99
100
xDifference = x -
99
100
x =
1
100
x
Question:36
Tick
? the correct answer:
A period of 4 hours 30 min is what per cent of a day?
a
18
3
4
%
b
20%
c
16
2
3
%
d
19%
Solution:
a
18
3
4
%
4 h 30 min = (4 ×60 ×60)+(30 ×60)
= 16200 sec
24 h = (24 ×60 ×60)
= 86400 sec
Now,
16200
86400
×100 % = 18
3
4
%
Question:37
Tick
( )
( )
( )
( )
( )
? the correct answer:
In an examination, 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is
a
500
b
1000
c
1200
d
1625
Solution:
c
1200
Let x be the total number of examinees. Percentage of the examinees passed = 65 %Percentage of the examinees failed = 35 %Number of the examinees failed = (35 % of x)
= x ×
35
100
=
35x
100
Now,
35x
100
= 420 ? x = 420 ×
100
35
? x = 1200
Question:38
Tick
? the correct answer:
A number exceeds 20% of itself by 40. The number is
a
50
b
60
c
80
d
320
Solution:
a
50
Let x be the required number. Then, we have: 20 % of x +40 = x ? x ×
20
100
+40 = x ?
20x
100
+40 = x ?
20x
100
-x = -40 ?
-80x
100
= -40 ? x = 40 ×
100
80
? x = 50
Question:39
Tick
? the correct answer:
A number decreased by 27
1
2
%
gives 87. The number is
a
58
b
110
c
120
d
135
Solution:
c
120
Let the required number be x. Then, we have: x - 27
1
2
% of x = 87 ? x -
55
2
% of x = 87 ? x - x ×
55
2
×
1
100
= 87 ? x -
11x
40
= 87 ?
29x
40
= 87 ? x = 87 ×
40
29
? x = 120
Question:40
Tick
? the correct answer:
0.05 is what per cent of 20?
a
25%
b
2.5%
c
0.25%
d
0.025%
Solution:
c
0.25%
Required percentage =
0.05
20
×100 % = 0. 25 %
Question:41
Tick
? the correct answer:
One-third of 1206 is what per cent of 134?
a
3%
b
( )
( )
( ) ( ) ( )
( ) ( ) ( ) ( )
( )
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Oct 24, 2024 Last updated |
Document Description: RS Aggarwal Solutions: Exercise 9B - Percentage for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation.
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RS Aggarwal Solutions: Exercise 9B - Percentage Free PDF Download
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