Subject
Quantitative Aptitude
Topic
Interest
The population of a village is 200,000. If the annual birth rate and the annual death rate are 6% and 3% respectively, then calculate the population of the village after 2 years.
The population of a village is 200,000. If the annual birth rate and the annual death rate are 6% and 3% respectively, then calculate the population of the village after 2 years.
ক)
212,090খ)
206,090গ)
212,000ঘ)
212,180ঙ)
None of theseExplanation
It can be noted that the annual birth rate and the annual death rate both are calculated upon the base population. [For the current year it is 200000] So we can say, the net annual growth rate = annual birth rate–annualdeath rate ⇒net annual growth rate = 6 – 3 = 3% ⇒The population is increasing at a rate of 3% & the growth is essentially compounded growth. The formula for annual compound growth is Where: A = future population; P = initial population; r = annual % growth rate; n = time in years. Here, P = 200000; r = 3%; n = 2 years. Putting the values in the above equation ⇒A = 212180 The population of the village after 2 years will be 212180.Related questions
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