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Asked by Harsh Last Modified
Answer 
Pooja R. Jain
It seems there might be a confusion in the given information. The population of a city is usually measured in terms of the number of people, not in rupees. If you meant to say the population of a city was 20,000 in 1997, and it increased at the rate of 5% per annum, then we can calculate the population at the end of the year 2000.
Let PP be the population in 1997.
Given that the population increases at a rate of 5% per annum, the growth factor is 1+5100=1.051+1005=1.05.
The population at the end of the year 2000 (t=2000−1997=3t=2000−1997=3 years) can be calculated using the formula for compound interest:
Population at the end of 2000=P×(1.05)3Population at the end of 2000=P×(1.05)3
Population at the end of 2000=20000×(1.05)3Population at the end of 2000=20000×(1.05)3
Now, calculate the value:
Population at the end of 2000≈20000×1.157625Population at the end of 2000≈20000×1.157625
Population at the end of 2000≈23152.50Population at the end of 2000≈23152.50
Therefore, the population of the city at the end of the year 2000 is approximately 23,152.50.
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