The population of a country has been growing at a rate of 4% every decade. If the projected population of the country in 2030 is given as 1,58,18,400, what was the population of the country in 2000?
Answer & explanation
Correct answer: option 4
Population of a country has been growing at a rate of 4% every decade i.e. every 10 years
Let population iin 2000 year = X
X × \(\frac{104}{100}\) × \(\frac{104}{100}\) × \(\frac{104}{100}\) = 15818400
X × \(\frac{26}{25}\) × \(\frac{26}{25}\) × \(\frac{26}{25}\) = 15818400
X = 15818400 × \(\frac{25}{26}\) × \(\frac{25}{26}\) × \(\frac{25}{26}\)
= 1,40,62,500
So, population in year 2000 is 1,40,62,500