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The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.
- a)Males - 4170, Females - 2830
- b)Males - 4000, Females - 3000
- c)Males - 4200, Females - 2800
- d)Males - 3000, Females - 4000
Correct answer is option 'B'. Can you explain this answer?
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The population of a town is 7000. If the number of males increases by...
Given
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The population of a town is =7000
Number of males increases =8%
Number of females increases =5%
Total Population =7470
Let's assume males =x
Number of females =7000−x
According to the question,
Therefore Number of males =4000
And Number of females =7000−4000 =3000
Hence, the correct option is (B).
Most Upvoted Answer
The population of a town is 7000. If the number of males increases by...
Given information:
- Population of the town = 7000
- Increase in the number of males = 8%
- Increase in the number of females = 5%
- Population after the increase = 7470
Assumptions:
Let's assume the initial number of males as M and the initial number of females as F.
Calculation:
1. Initial population:
- The initial population is given as 7000.
- So, we can write the equation: M + F = 7000 ...(1)
2. Population after increase:
- The population after the increase in the number of males by 8% and females by 5% is given as 7470.
- We can write the equation: (M + 0.08M) + (F + 0.05F) = 7470
- Simplifying the equation, we get: 1.08M + 1.05F = 7470 ...(2)
3. Solving equations (1) and (2):
- We have two equations and two variables (M and F).
- Solving equations (1) and (2) simultaneously will give us the values of M and F.
Using the substitution method, we can solve the equations:
- From equation (1), we can write M = 7000 - F
- Substituting this value of M in equation (2), we get: 1.08(7000 - F) + 1.05F = 7470
- Simplifying the equation, we get: 7560 - 1.08F + 1.05F = 7470
- Combining like terms, we get: 0.03F = 90
- Dividing both sides by 0.03, we get: F = 3000
- Substituting the value of F in equation (1), we get: M + 3000 = 7000
- Simplifying the equation, we get: M = 4000
Final answer:
The number of males is 4000 and the number of females is 3000. Therefore, option B is the correct answer.
- Population of the town = 7000
- Increase in the number of males = 8%
- Increase in the number of females = 5%
- Population after the increase = 7470
Assumptions:
Let's assume the initial number of males as M and the initial number of females as F.
Calculation:
1. Initial population:
- The initial population is given as 7000.
- So, we can write the equation: M + F = 7000 ...(1)
2. Population after increase:
- The population after the increase in the number of males by 8% and females by 5% is given as 7470.
- We can write the equation: (M + 0.08M) + (F + 0.05F) = 7470
- Simplifying the equation, we get: 1.08M + 1.05F = 7470 ...(2)
3. Solving equations (1) and (2):
- We have two equations and two variables (M and F).
- Solving equations (1) and (2) simultaneously will give us the values of M and F.
Using the substitution method, we can solve the equations:
- From equation (1), we can write M = 7000 - F
- Substituting this value of M in equation (2), we get: 1.08(7000 - F) + 1.05F = 7470
- Simplifying the equation, we get: 7560 - 1.08F + 1.05F = 7470
- Combining like terms, we get: 0.03F = 90
- Dividing both sides by 0.03, we get: F = 3000
- Substituting the value of F in equation (1), we get: M + 3000 = 7000
- Simplifying the equation, we get: M = 4000
Final answer:
The number of males is 4000 and the number of females is 3000. Therefore, option B is the correct answer.
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The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.a)Males - 4170, Females - 2830b)Males - 4000, Females - 3000c)Males - 4200, Females - 2800d)Males - 3000, Females - 4000Correct answer is option 'B'. Can you explain this answer?
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The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.a)Males - 4170, Females - 2830b)Males - 4000, Females - 3000c)Males - 4200, Females - 2800d)Males - 3000, Females - 4000Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.a)Males - 4170, Females - 2830b)Males - 4000, Females - 3000c)Males - 4200, Females - 2800d)Males - 3000, Females - 4000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.a)Males - 4170, Females - 2830b)Males - 4000, Females - 3000c)Males - 4200, Females - 2800d)Males - 3000, Females - 4000Correct answer is option 'B'. Can you explain this answer?.
The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.a)Males - 4170, Females - 2830b)Males - 4000, Females - 3000c)Males - 4200, Females - 2800d)Males - 3000, Females - 4000Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.a)Males - 4170, Females - 2830b)Males - 4000, Females - 3000c)Males - 4200, Females - 2800d)Males - 3000, Females - 4000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of a town is 7000. If the number of males increases by 8% and the number of females increases by 5%, the population will be 7470. Find the number of males and females.a)Males - 4170, Females - 2830b)Males - 4000, Females - 3000c)Males - 4200, Females - 2800d)Males - 3000, Females - 4000Correct answer is option 'B'. Can you explain this answer?.
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