Quant Exam > Quant Questions > The population of village increases at the ra...
Start Learning for Free
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%
- e)None of these
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...
Answer – 2.16.64% Explanation : Total increase = 6+2 = 8% % increase = 8+8+(8*8/100) = 16+0.64 = 16.64%
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
The population of village increases at the rate of 6% per annum. There...
EXPLANATION: Let the population after 2 years be x
population increases at the rate of =6%
additional increase =2%
total increase =rate increase +additional increase
= 6+2=8%
General growth formula : A = P(1+r)t
A= amount after growth
P= original amount
r= yearly growth amount (Expressed as a decimal)
t= years
therefore: % increase = 8+8+(8×8/100)
= 16(64/100)
= 16 (0.64)
= 16.64%
therefore:16.64%is the correct answer and it is satisfied according to formula. After 2 years the increase in population will be 16.64%.
thank you
population increases at the rate of =6%
additional increase =2%
total increase =rate increase +additional increase
= 6+2=8%
General growth formula : A = P(1+r)t
A= amount after growth
P= original amount
r= yearly growth amount (Expressed as a decimal)
t= years
therefore: % increase = 8+8+(8×8/100)
= 16(64/100)
= 16 (0.64)
= 16.64%
therefore:16.64%is the correct answer and it is satisfied according to formula. After 2 years the increase in population will be 16.64%.
thank you
Community Answer
The population of village increases at the rate of 6% per annum. There...
Given:
- Population of village increases at the rate of 6% per annum
- Additional increase of 2% in the population due to rural development
To find: Percentage increase in the population after 2 years
Solution:
Let the initial population be P.
After 1 year, the population increases by 6%.
So, population after 1 year = P + (6/100)P = (106/100)P
Due to rural development, there is an additional increase of 2% in population.
So, population after 1 year with rural development = (106/100)P + (2/100)(106/100)P
= (106/100)(1 + 0.02)P
= (106/100)(1.02)P
After 2 years, the population will further increase by 6% and 2%.
So, population after 2 years = (106/100)(1.02)P + (6/100)(106/100)(1.02)P
= (106/100)(1.02)(1 + 0.06)P
= (106/100)(1.02)(1.06)P
Percentage increase in population after 2 years = [(106/100)(1.02)(1.06)P - P]/P * 100
= (1.06412 - 1) * 100
= 6.412%
Therefore, the percentage increase in population after 2 years will be 16.64% (6% + 2% + 6.412%).
Hence, option B is the correct answer.
- Population of village increases at the rate of 6% per annum
- Additional increase of 2% in the population due to rural development
To find: Percentage increase in the population after 2 years
Solution:
Let the initial population be P.
After 1 year, the population increases by 6%.
So, population after 1 year = P + (6/100)P = (106/100)P
Due to rural development, there is an additional increase of 2% in population.
So, population after 1 year with rural development = (106/100)P + (2/100)(106/100)P
= (106/100)(1 + 0.02)P
= (106/100)(1.02)P
After 2 years, the population will further increase by 6% and 2%.
So, population after 2 years = (106/100)(1.02)P + (6/100)(106/100)(1.02)P
= (106/100)(1.02)(1 + 0.06)P
= (106/100)(1.02)(1.06)P
Percentage increase in population after 2 years = [(106/100)(1.02)(1.06)P - P]/P * 100
= (1.06412 - 1) * 100
= 6.412%
Therefore, the percentage increase in population after 2 years will be 16.64% (6% + 2% + 6.412%).
Hence, option B is the correct answer.
|
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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 bea)15.46%b)16.64%c)14.46%d)12.56%e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup