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The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.
- a)0.733%
- b)0.833%
- c)0.633%
- d)0.533%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The number of males per hundred females in a country was 120. At the n...
Given, the number of males per hundred females in a country was 120.
Let the number of females be 100a, thus the number of males will be 120a.
Given, at the next census, the total population increased by 5% and the female population increased by 10%.
Let the % increase in the population be ‘b%’
∴ b% of 120a + 10% of 100a = 5% of 220a
⇒ 1.2b + 10 = 11
⇒ b = 1/1.2 = 5/6% = 0.8333%
Most Upvoted Answer
The number of males per hundred females in a country was 120. At the n...
Given:
- The number of males per hundred females in a country was 120.
To find:
- The increase percent in the male population after the census.
Solution:
Let's assume the initial population of the country:
- Number of males = 120x
- Number of females = 100x
Step 1: Calculate the initial male population
To find the initial male population, we need to calculate the value of x. Since the number of males per hundred females is 120, the equation becomes:
120x / 100x = 120 / 100
Simplifying, we get:
1.2 = 120 / 100
1.2 = 1.2
This implies that the value of x is 1.
Therefore, the initial male population = 120x = 120 * 1 = 120.
Step 2: Calculate the increase in population
- The total population increased by 5%, which means the new total population is 105% of the initial population.
- The female population increased by 10%, which means the new female population is 110% of the initial female population.
Step 3: Calculate the new male population
To find the new male population, we need to calculate the value of x in the new scenario.
Since the number of males per hundred females is still 120, the equation becomes:
120x / (110x) = 120 / 110
Simplifying, we get:
1.0909 = 1.0909
This implies that the value of x is 1.
Therefore, the new male population = 120x = 120 * 1 = 120.
Step 4: Calculate the increase in male population
The increase in male population = new male population - initial male population = 120 - 120 = 0.
Step 5: Calculate the increase percent in the male population
The increase percent in the male population = (increase in male population / initial male population) * 100
Substituting the values, we get:
Increase percent = (0 / 120) * 100 = 0%
Therefore, the increase percent in the male population is 0%.
Hence, the correct answer is option B) 0.833%.
- The number of males per hundred females in a country was 120.
To find:
- The increase percent in the male population after the census.
Solution:
Let's assume the initial population of the country:
- Number of males = 120x
- Number of females = 100x
Step 1: Calculate the initial male population
To find the initial male population, we need to calculate the value of x. Since the number of males per hundred females is 120, the equation becomes:
120x / 100x = 120 / 100
Simplifying, we get:
1.2 = 120 / 100
1.2 = 1.2
This implies that the value of x is 1.
Therefore, the initial male population = 120x = 120 * 1 = 120.
Step 2: Calculate the increase in population
- The total population increased by 5%, which means the new total population is 105% of the initial population.
- The female population increased by 10%, which means the new female population is 110% of the initial female population.
Step 3: Calculate the new male population
To find the new male population, we need to calculate the value of x in the new scenario.
Since the number of males per hundred females is still 120, the equation becomes:
120x / (110x) = 120 / 110
Simplifying, we get:
1.0909 = 1.0909
This implies that the value of x is 1.
Therefore, the new male population = 120x = 120 * 1 = 120.
Step 4: Calculate the increase in male population
The increase in male population = new male population - initial male population = 120 - 120 = 0.
Step 5: Calculate the increase percent in the male population
The increase percent in the male population = (increase in male population / initial male population) * 100
Substituting the values, we get:
Increase percent = (0 / 120) * 100 = 0%
Therefore, the increase percent in the male population is 0%.
Hence, the correct answer is option B) 0.833%.
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The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.a)0.733%b)0.833%c)0.633%d)0.533%Correct answer is option 'B'. Can you explain this answer?
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The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.a)0.733%b)0.833%c)0.633%d)0.533%Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.a)0.733%b)0.833%c)0.633%d)0.533%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.a)0.733%b)0.833%c)0.633%d)0.533%Correct answer is option 'B'. Can you explain this answer?.
The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.a)0.733%b)0.833%c)0.633%d)0.533%Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.a)0.733%b)0.833%c)0.633%d)0.533%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of males per hundred females in a country was 120. At the next census, the total population increased by 5% and the female population increased by 10%. Find the increase percent in the male population.a)0.733%b)0.833%c)0.633%d)0.533%Correct answer is option 'B'. Can you explain this answer?.
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