Question 68
At present, the number of trees in a village is 52,020. It increases annually at the rate of 2%. What was the number of trees in the village two years ago?
Solution
Let's assume the number of trees in the village two years ago is 'y'.
At present, the number of trees in a village is 52,020. It increases annually at the rate of 2%.
y of (100+2)% of (100+2)% = 52020
y of 102% of 102% = 52020
$$y\times\frac{102}{100}\times\frac{102}{100}=52020$$$$y\times1.02\times1.02=52020$$
1.0404y = 52020
number of trees in the village two years ago = y = 50000
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