Question 79

The population of a town increases by 5% every year. If the present population is 9261, the population 3 years ago was

Solution

Let total population of the town 3 years ago = $$100x$$

It increases 5% after every year, => multiplied by 1.05

=> Population after 3 years ,i.e. present population

=> 1.05 * 1.05 * 1.05 * $$100x$$ = $$115.7625x$$ = 9261

=> $$x = \frac{9261}{115.7625}$$ = 80

=> Population 3 years ago = 80*100 = 8000

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