Q.

The population of the city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.

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a

23140

b

22253

c

23153

d

22153

answer is C.

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Detailed Solution

Every year, there is a 5% increase in population, so every new year has a new population. Thus, we can say it is increasing in compounded form.

Where n is the number of years after 1997.

So, for the end of the year 2000, n = 3.

The population at the end of the year 2000 = 200001+51003

=20000×21203

=20000×2120×2120×2120

=23152.5

So, the estimated population at the end of the year 2000 = 23,153.

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