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The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be:
- a)15.46%
- b)16.64%
- c)14.46%
- d)12.56%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The population of village increases at the rate of 6% per annum. There...
Total increase = 6+2 = 8%
% increase = 8+8+(8*8/100) = 16+0.64 = 16.64%
% increase = 8+8+(8*8/100) = 16+0.64 = 16.64%
Most Upvoted Answer
The population of village increases at the rate of 6% per annum. There...
Population Increase Calculation:
The population of the village increases at a rate of 6% per annum. This means that the population will increase by 6% every year.
Additional Increase due to Rural Development:
In addition to the 6% increase, there is an additional increase of 2% in the population due to rural development. This means that the total population increase will be 6% (existing growth rate) + 2% (additional increase) = 8%.
Percentage Increase in Population after 2 years:
To calculate the percentage increase in the population after 2 years, we need to consider compounding of the growth rates. The formula for compound interest is A = P(1 + r/n)^(nt), where:
- A is the final amount
- P is the initial principal balance
- r is the interest rate
- n is the number of times that interest is compounded per year
- t is the number of years
In this case, P = 100 (considering initial population as 100 for easy calculation), r = 8% (6% + 2%), n = 1 (compounded annually), and t = 2 years.
Plugging in the values into the formula:
A = 100(1 + 0.08)^(1*2)
A = 100(1.08)^2
A = 100(1.1664)
A = 116.64
Percentage Increase:
The percentage increase in population after 2 years can be calculated using the formula: Percentage Increase = (Final Population - Initial Population) / Initial Population * 100
Percentage Increase = (116.64 - 100) / 100 * 100
Percentage Increase = 16.64%
Therefore, the percentage increase in the population after 2 years will be 16.64% (option B).
The population of the village increases at a rate of 6% per annum. This means that the population will increase by 6% every year.
Additional Increase due to Rural Development:
In addition to the 6% increase, there is an additional increase of 2% in the population due to rural development. This means that the total population increase will be 6% (existing growth rate) + 2% (additional increase) = 8%.
Percentage Increase in Population after 2 years:
To calculate the percentage increase in the population after 2 years, we need to consider compounding of the growth rates. The formula for compound interest is A = P(1 + r/n)^(nt), where:
- A is the final amount
- P is the initial principal balance
- r is the interest rate
- n is the number of times that interest is compounded per year
- t is the number of years
In this case, P = 100 (considering initial population as 100 for easy calculation), r = 8% (6% + 2%), n = 1 (compounded annually), and t = 2 years.
Plugging in the values into the formula:
A = 100(1 + 0.08)^(1*2)
A = 100(1.08)^2
A = 100(1.1664)
A = 116.64
Percentage Increase:
The percentage increase in population after 2 years can be calculated using the formula: Percentage Increase = (Final Population - Initial Population) / Initial Population * 100
Percentage Increase = (116.64 - 100) / 100 * 100
Percentage Increase = 16.64%
Therefore, the percentage increase in the population after 2 years will be 16.64% (option B).
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The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be:a)15.46%b)16.64%c)14.46%d)12.56%Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be:a)15.46%b)16.64%c)14.46%d)12.56%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be:a)15.46%b)16.64%c)14.46%d)12.56%Correct answer is option 'B'. Can you explain this answer?.
The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be:a)15.46%b)16.64%c)14.46%d)12.56%Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be:a)15.46%b)16.64%c)14.46%d)12.56%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of village increases at the rate of 6% per annum. There is an additional increase of 2% in the population due to rural development .Therefore the percentage increase in the population after 2 years will be:a)15.46%b)16.64%c)14.46%d)12.56%Correct answer is option 'B'. Can you explain this answer?.
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