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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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In a certain year, the population of a certain town was 9000. If the n...
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In a certain year, the population of a certain town was 9000. If the n...
Given:
Population of the town in a certain year = 9000
Population of the town in the next year = 9600

Let the population of males in the given year be M and that of females be F.
So, the total population in the given year = M + F = 9000

In the next year, the population of males increases by 5% and that of females increases by 8%.
So, the population of males in the next year = 1.05M
And the population of females in the next year = 1.08F

Therefore, the total population in the next year = 1.05M + 1.08F = 9600

Solving these two equations, we get M/F = 4/5

Hence, the ratio of population of males and females in the given year was 4 : 5.

Therefore, the correct answer is option A).
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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 : 5b)5 : 4c)2 : 3d)Data inadequateCorrect answer is option 'A'. Can you explain this answer?
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