Question 63

The population of a village decreases every year at the rate of 3%. If the present population is 28227, what was the population of the village two years ago?

Solution

Let's assume the population of the village two years ago is 'y'.

The population of a village decreases every year at the rate of 3%. If the present population is 28227.

y of (100-3)% of (100-3)% = 28227

y of 97% of 97% = 28227

$$y\times\frac{97}{100}\times\frac{97}{100}=28227$$

$$y\times\frac{9409}{10000}=28227$$

$$y=\frac{282270000}{9409}$$
y = 30000

the population of the village two years ago = 30000

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