Question

A town population increased from 125400 to 225720 in a decade ,what is the average percent increase of population per year

Answer 1

the increase in the population=225720-125400
=100320
the percentage increase=100320/125400*100
=100320/1254
=80

Answer 2

The average percent increase of population per year is 8%.

Explanation:

According to the given information, it is given that, A town population increased from 125400 to 225720 in a decade.

This means that initially a town population was 125400 in number. In a time period equal to a decade, the town population increased in number to 225720.

Now, given that, we need to find the average percent increase of population per year.

Now, in a time period of ten years, the town population increase is = town population after a decade - town population before a decade

= 225720 - 125400

= 100320.

Now, the increase in 10 years  = 100320.

Then, average increase in 1 year  = $\frac{100320}{10} = 10032$.

Then, by unitary method, we will find the average percent increase of population per year.

Now, average increase in 1 year  $= 10032$.

Then, out of the initial town population of 125400, the average increase in one year is 10032.

Then, out of the town population of 1, the average increase in one year is $\frac{10032}{125400}$

Then, out of the town population of 100, the average increase in one year is

$\frac{10032}{125400} * 100\\=\frac{10032}{1254}\\=8%$

Thus, the average percent increase of population per year is 8%.

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