The initial population of a country is 2,04,800. If the birth and the death rates are 12% and 7%, respectively, then find the population of the country after 2 years.
- A225792
- B226792
- C228792
- D227792
Solution & Step-by-step Explanation
The net annual growth rate of the population is:
Net Growth Rate=Birth Rate−Death Rate=12%−7%=5% per annum
Given:
Initial population (P
0
) = 2,04,800
Net growth rate (R) = 5%
Time (n) = 2 years
The population after 2 years (P) is given by:
P=P
0
(1+
100
R
)
n
P=204800×(1+
100
5
)
2
P=204800×(
20
21
)
2
P=204800×
400
441
P=512×441=225792
Thus, the population after 2 years will be 2,25,792.
Net Growth Rate=Birth Rate−Death Rate=12%−7%=5% per annum
Given:
Initial population (P
0
) = 2,04,800
Net growth rate (R) = 5%
Time (n) = 2 years
The population after 2 years (P) is given by:
P=P
0
(1+
100
R
)
n
P=204800×(1+
100
5
)
2
P=204800×(
20
21
)
2
P=204800×
400
441
P=512×441=225792
Thus, the population after 2 years will be 2,25,792.