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UPSC 2017 CDS I Math Paper
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© examsnet.com
Question : 39
Total: 100
5
9
th
part of the population in a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is
[2017 CDS-I]
20
2
9
27
2
9
27
7
9
29
2
9
Validate
Solution:
Let the total population of the village be 9x.
Number of males in the village
=
5
9
×
9
x
=
5
x
Therefore, number of females in the village
=
9
x
−
5
x
=
4
x
Number of married males in the village
=
30
100
×
5
x
=
3
2
x
Therefore, number of married females in the village
=
3
2
x
Number of unmarried females in the village
=
4
x
−
3
2
x
=
5
2
x
Therefore, percentage of unmarried females in the village
=
(
5
2
x
)
9
x
×
100
%
=
250
9
%
=
27
7
9
%
© examsnet.com
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