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Question

The population of a village was 20,000 and after 2 years it become 22050. What is the rate of increase per annum ?

A
10%
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B
8%
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C
5%
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D
6%
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Solution

The correct option is C 5%
We know that
Final population = (original population)×(1+Rate100)time..........(i)
Here original population =20000,
final population =22050,
Time =2 yrs,
rate=?
Let the rate =R.
Substituting the values of the given parameters in (i),
20000(1+R100)2=22050
(1+R100)2=2205020000=1.1025
(1+R100)=1.1025=1.05
i.e R=5%
Ans- Option C.

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