The population of a town increases by 10% in the year 2015 and decreases by 15% in the year 2016. If the population of the town at the end of the year 2016 is 1,87,000, find the population of the town in the beginning of the year 2015.
2,00,000
Let the initial population at the beginning of 2015 be \(P\).
After a 10% increase in 2015: \(P \times 1.10\). After a 15% decrease in 2016: \(P \times 1.10 \times 0.85\).
So \(P \times 1.10 \times 0.85 = 187000\), i.e. \(0.935\,P = 187000\).
Therefore \(P = \frac{187000}{0.935} = 200000\).
Hence, the population at the beginning of 2015 was 2,00,000.
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