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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