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Standard XII
Mathematics
Arithmetic Progression
Population le...
Question
Population levels over 5 decades of a small town are given below.
Year
Population
1960
2,50,000
1970
2,80,000
1980
3,40,000
1990
4,20,000
2000
4,90,000
The population of the town in the year 2020 estimated by Arithmetic increase method will be
A
5,90,000
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B
6,90,000
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C
6,10,000
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D
5,10,000
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Solution
The correct option is
C
6,10,000
Average decade increase,
=
30
,
000
+
60
,
000
+
80
,
000
+
70
,
000
4
= 60,000
Increase in population over the next 2 decades,
=
2
×
60
,
000
= 120,000
Population in year 2020 will be,
P
2020
=
P
2000
+
2
×
60
,
000
=
4
,
90
,
000
+
2
×
60
,
000
=
6
,
10
,
000
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