There is a continuous growth in the population of a village at the rate of 5% per annum. If its present population is 18522, what was the population of the village 3 years ago?
Answer & explanation
Correct answer: option 3
Let population 3 years ago = x
According to question ,
x × \(\frac{105}{100}\) × \(\frac{105}{100}\) × \(\frac{105}{100}\) = 18522
x = 18522 × \(\frac{20}{21}\) × \(\frac{20}{21}\) × \(\frac{20}{21}\)
x = 16000
So , population 3 years ago = 16000