Question:The population of a town increases `4%` annually but is decreased by emigration annually to the extent of (1 / 2)%. What will be the increase percent in `3` years ? 

A `9.8` 
B `10` 
C `10.5` 
D `10.8` 

+ Answer
D 

+ Explanation
Let original population `= 100`.

Population after `3` years

`= 100 xx (1 + (31/2)/(100))^3`

`= 100 xx (207)/(200) xx (207)/(200) xx (207)/(200)`

`= 110.87`.

`:.` Increase `% = 10.8%`.

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Md. Habib Ullah

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