PERCENTAGES
1) If 70 % of the students in a
school are boys.And the no of girls be 504.Find no of boys.
504*100 = 1680.
30
1680*70 = 1176 boys.
100
2) In an examination 65 % of
students are passed and no of failures is 420.Find the total strength?
420*100 =1200
35
3) In an examination,a student
scored 30% marks from the first paper out of 180.How much % should he score
from 2 nd paper out of 150 if he is to get an overall average of atleast 50 %?
I 180 180*30 =54
100
II
150
330 111 * 100 = 74 %
150
330
= 165.
2
4) In an exa,mination a student
scored 30 % marks from the I paper out of 150.How much % should he score out of
120 if he is to get an overall percentage of atleast 50 %?
I
150 30 *
150 = 45
100
II
120 90 *
100 = 75 %
120
270
270 = 135
2
5)In an examination a student
scored 30 % marks from I paper out and he is failed by 15 marks and another
student who scored 40 % mark and he obtained 35 mark more than pass mark.Find
pass mark?
Maximum
mark = Addition of difference in pass mark.
Difference
of scoring percentage
= 50 * 100 =
165
10
500 * 30 = 150 + 15 = 165
100
500
* 40 = 200 – 35 = 165
100
165
* 100 = 33 %
500
6) In
an exam 42 % of students failed in Hindi.52 % failed in English.If 17 % failed
in both,find % of students passed in both ?
100 – 77 =23 %
7) The
price of sugar was increased by 25 %.How much % the house holder reduce the
consumption so their expenditures remains the same
For
increase R
* 100
100
+ R
25 * 100 = 20 %
For
decrease R * 100 125
100 - R
8) If
A's income is 20 % less than B's income .In how much % B's income is more than
that of A?
A B
800 1000
200
* 100 = 25 %
800
9) In
an election between 2 candidates, one gets 62 % of votes and he is elected by
majority of 144 votes .Find the no of votes.
144
* 100 62 % - 38 % = 24 %.
162
144 * 100 = 600
24
10) In
an election between 2 candidates ,one
gets 30 % of the voter and id defeated by 15000 votes.Find no of votes of
winning candidate?
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15000
* 100 = 3750 * 70
40 100
(OR)
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40
% 15000 = 26250.
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70
% ?
11) In
an election between 2 candidates,one gets 55 % of total valid votes.20 % of
votes were invalid.If the no of votes was 7500,so find the no of votes polled
by defeated candidate.
Valid = 6000
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55
% 6000
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45 % ?= 2700.12) 10
% of voters did not cast their votes in an election between 2 candidates.10 %
of the polled were invalid and one gets 54 % of the total valid votes and he is
elected by the majority of 1620 votes.Find the number of votes enrolled on
voter's list
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8 % 1620
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100
% ?
=
1620 * 100 = 20250.
8
20250
* 100 = 22500
90
22500 * 100 = 25000
90
13) The
population of the town increased by 10 % in the ! St year and 20 % in the 2 nd
year.The population after 2 years will be ? The population is 8000 ?
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8000 10 % n
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800 Pop (1 + r
![]()
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8800 20 % 100
1760 Future *
100 + R , Past Pop *100
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10560 Pop 100 100 + R
14) The
population of the town increased by 5% every year. If the present population is
15435?
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15435
* 100 * 100 = 14000
105 105
15) In
a mixture of 40 litre of milk and water contains 10 % water.How much water
should br added to this so that water becomes 20%?
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M 36
To add milk,
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40 36 80% Total water
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W
4 ? 20% 20 * 30 = 9litres. 9-4 = 5 litres.
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80
16) A
man sends 75 % of his income.If his income is increased by 20%,he increases his
expenditure by 10 %.His savings are increases by how much %?
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100 75 = 25 12.5 * 100 = 50%
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120 82.5 = 37.5 25
17) A
man donated 5% of his income to a trust and deposited 20% of remainder in a
bank.If he now has Rs 1919.What is his income?
5%
100 =
95
20%
95 =
19
76
100 = 76
? = 1919
=2525
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