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DIRECTIONS for the question: Solve the following question and mark the best possible option
In a certain year, the population of a certain town was 9000. If the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
  • a)
    4 : 5
  • b)
    5 : 4
  • c)
    2 : 3
  • d)
    Data inadequate
Correct answer is option 'A'. Can you explain this answer?
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DIRECTIONS for the question: Solve the following question and mark the...
The % increase in total population is 
Thus, by allegation Rule

4 : 5 is the required ratio.
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DIRECTIONS for the question: Solve the following question and mark the...
Given:
- The population of a certain town in a certain year = 9000
- The next year, the population of males increases by 5% and that of females increases by 8%
- The total population in the next year = 9600

To find:
- The ratio of the population of males and females in that given year

Solution:
Let's assume the population of males in the given year = M
And the population of females in the given year = F

Step 1: Formulating the equation
According to the given information, the total population in the next year is 9600.
So, we can formulate the equation as:
M + F = 9600

Step 2: Formulating the equation for the population increase
The population of males increases by 5% and the population of females increases by 8%.
The population of males in the next year = M + 0.05M = 1.05M
The population of females in the next year = F + 0.08F = 1.08F

Step 3: Formulating the equation for the total population increase
The total population in the next year is 9600.
So, we can formulate the equation as:
1.05M + 1.08F = 9600

Step 4: Solving the equations
We have two equations:
M + F = 9600
1.05M + 1.08F = 9600

We can solve these equations to find the values of M and F.

Step 5: Calculating the ratio
Once we have the values of M and F, we can calculate the ratio of the population of males and females in that given year by dividing M by F.

Conclusion:
The correct answer is option 'A' - 4:5.
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DIRECTIONS for the question: Solve the following question and mark the best possible optionIn a certain year, the population of a certain town was 9000. If the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?a)4 : 5b)5 : 4c)2 : 3d)Data inadequateCorrect answer is option 'A'. Can you explain this answer?
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DIRECTIONS for the question: Solve the following question and mark the best possible optionIn a certain year, the population of a certain town was 9000. If the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?a)4 : 5b)5 : 4c)2 : 3d)Data inadequateCorrect answer is option 'A'. 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 DIRECTIONS for the question: Solve the following question and mark the best possible optionIn a certain year, the population of a certain town was 9000. If the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?a)4 : 5b)5 : 4c)2 : 3d)Data inadequateCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question: Solve the following question and mark the best possible optionIn a certain year, the population of a certain town was 9000. If the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?a)4 : 5b)5 : 4c)2 : 3d)Data inadequateCorrect answer is option 'A'. Can you explain this answer?.
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