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The population of a certain city was 72000 on the last day of the year 1998. During next year it increased by 7% but due to an epidemic it decreased by 10% in the following year. What was its population at the end of the year 2000?

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Given, 

Population of city on last day of year 1998 = 72000 

Increasing rate in 1999 = 7% 

Decreasing rate in 2000 = 10 % 

So, 

Population at the end of 2000 \(= 72000\times({1}+\frac{7}{100})({1}-\frac{10}{100})\)

\(= 72000\times\frac{107}{100}\times\frac{9}{10}\) = 69336.

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