The population of a city is 160,000.If it increases at the rate of 6% per annum, then what will be its population 2 years hence?Options1797762580000NONE1000000
Question
The population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
- 179776
- 2580000
- NONE
- 1000000
Solution
To solve this problem, we need to apply the formula for compound interest, which is also used to calculate population growth. The formula is:
P' = P * (1 + r/100)^n
where: P' is the future population, P is the present population, r is the rate of increase per annum, and n is the number of years.
Given in the problem: P = 160,000 (the present population), r = 6% (the rate of increase per annum), and n = 2 years.
Substituting these values into the formula, we get:
P' = 160,000 * (1 + 6/100)^2 = 160,000 * (1.06)^2 = 160,000 * 1.1236 = 179,776
So, the population of the city 2 years hence will be 179,776. Therefore, the correct option is 179776.
Similar Questions
The population of of a town is 176000. If it increases at the rate of 5% per annum,what will be it’s population 2 years hence?
A city doubles its size every 76 years. If the population is currently 150,000, what will the population be in 228 years?
he population of a town is 5,00,000. The rate of increase is 20% per annum. Find the population at the start of the third year.
Population of a village decreases at the rate of 12% per annum.If its population 2 years ago was 62500, find its present population.78400484006000056000
A city's population is currently 365,000. If the population doubles every 24 years, what will the population be 96 years from now?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.