Problems on Population Growth
Problems on Population Growth
In our day to day life we observe that there are things or entities like population of city, the value of property, the height of a tree, weight and height of a child, the number of bacteria etc. which increase in magnitude over a period of time.
Growth: The relative increase in a quantity or entity is called growth .
Rate of Growth: Growth per unit of time is called the rate of growth.
Formulae for population Growth:
Formula 1: Let P be the population of a city or a town at the beginning of a certain year and the population grows at a constant rate of R% per annum, then
Population after n years =
Formula 2: Let P be the population of a city or a town at the beginning of a certain year. if the population grows at the rate of during second year, then
Population after 2 years =
This formula may be extended for more than 2 years.
Formula 3: Let P be the population of a city or a town at the beginning of a certain year. If the population decreases at the rate of R% per annum, then
Population after n years =
Illustration: The population of a village is 20000. If the annual birth rate is 4 % and the annual death rate 2%., calculate the population after two years.
Solution: We have,
Annual birth rate = 4%
Annual death rate = 2%
So, Annual growth = ( 4 - 2) = 2 %
Thus, we have
P = Initial population = 20000, Rate of growth = 2% per annum, n = 2 years
So, Population after 2 years =
Hence population of the town after 2 years = 20808.
The population of a town 2 years ago was 62500. Due to migration of cities, it declares every year at the rate of 4% per annum. Find its present population. | |||
| Right Option : C | |||
| View Explanation | |||
The present population of a city is 9261000. If it has been increasing at the rate of 5% per annum, find its population 3 years ago. | |||
| Right Option : D | |||
| View Explanation | |||
The population of a town was 160000 three years ago. If it has been increased by 3%, 2.5% and 5% in the last three years, find the present population of the town. | |||
| Right Option : A | |||
| View Explanation | |||
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