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The population of a city increases at the rate of 5% per annum. There is additional annual increases of 5% due to influx of job seekers. The percent increase in population after 3 yr, is?

Correct Answer: 33.1%

Explanation:

Total rate of increase in population per annum = 10%
Initially, let the population be 1000
population after 3 yr = 1000(1 + 10/100)3
= (1000 x 11/10 x 11/10 x 11/10) = 1331
∴ Increase in percentage = [(1331 - 1000)/1000] x 100%
= (331/1000) x 100%
= 33.1%


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