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The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.
- a)25153
- b)24153
- c)23153
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The population of a city was 20,000 in the year 1997. It increased at ...
We have,
P = 20,000, R = 5%, T = 3 year
P = 20,000, R = 5%, T = 3 year
= 23153
Most Upvoted Answer
The population of a city was 20,000 in the year 1997. It increased at ...
Given:
- Population of a city in 1997 = 20,000
- Rate of increase = 5% per year
To find:
- Population at the end of the year 2000
Solution:
The population of the city is increasing at a rate of 5% per year.
Step 1: Calculate the increase in population each year.
- Increase = 5% of the previous year's population
- Increase = (5/100) * 20,000 = 1,000
Step 2: Calculate the population at the end of each year.
- Population in 1997 = 20,000
- Population in 1998 = Population in 1997 + Increase = 20,000 + 1,000 = 21,000
- Population in 1999 = Population in 1998 + Increase = 21,000 + 1,000 = 22,000
- Population in 2000 = Population in 1999 + Increase = 22,000 + 1,000 = 23,000
Therefore, the population at the end of the year 2000 is 23,000.
Step 3: Compare the calculated population with the options provided.
- Option a) 25,153 - This does not match the calculated population.
- Option b) 24,153 - This does not match the calculated population.
- Option c) 23,153 - This does not match the calculated population.
- Option d) None of these - This does not match the calculated population.
None of the given options match the calculated population.
- Population of a city in 1997 = 20,000
- Rate of increase = 5% per year
To find:
- Population at the end of the year 2000
Solution:
The population of the city is increasing at a rate of 5% per year.
Step 1: Calculate the increase in population each year.
- Increase = 5% of the previous year's population
- Increase = (5/100) * 20,000 = 1,000
Step 2: Calculate the population at the end of each year.
- Population in 1997 = 20,000
- Population in 1998 = Population in 1997 + Increase = 20,000 + 1,000 = 21,000
- Population in 1999 = Population in 1998 + Increase = 21,000 + 1,000 = 22,000
- Population in 2000 = Population in 1999 + Increase = 22,000 + 1,000 = 23,000
Therefore, the population at the end of the year 2000 is 23,000.
Step 3: Compare the calculated population with the options provided.
- Option a) 25,153 - This does not match the calculated population.
- Option b) 24,153 - This does not match the calculated population.
- Option c) 23,153 - This does not match the calculated population.
- Option d) None of these - This does not match the calculated population.
None of the given options match the calculated population.
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Community Answer
The population of a city was 20,000 in the year 1997. It increased at ...
P(1+r/100)3
20000(1+5/1000)3
20000(1+1/20)3
20000(21/20)3
20000*21/20*21/10*21/20
=5*21*21*21/2
=105*441/2
=46305/2
=23152.5
=23153
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The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.a)25153b)24153c)23153d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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