The population of a town is \(12000\). If the male population increases by \(6\%\) every year and that of females by \(8\%\), then the total population at the end of the year becomes \(12800\). Find the number of males in the town.

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A. \(8000\) A. \(8000\)

B. \(7500\) B. \(7500\)

C. \(7200\) C. \(7200\)

D. \(6500\) D. \(6500\)

Let number of males = \(M\)

Then number of females = \(12000 - M\)

After one year:

Male population = \[ 1.06M \]

Female population = \[ 1.08(12000 - M) \]

Total population after one year = \[ 1.06M + 1.08(12000 - M) = 12800 \]

\[ 1.06M + 12960 - 1.08M = 12800 \]

\[ -0.02M = -160 \]

\[ M = 8000 \]

Correct Answer: A

ধরি পুরুষের সংখ্যা = \(M\)

তাহলে মহিলার সংখ্যা = \(12000 - M\)

এক বছর পরে:

পুরুষের সংখ্যা = \[ 1.06M \]

মহিলার সংখ্যা = \[ 1.08(12000 - M) \]

এক বছর পরে মোট জনসংখ্যা = \[ 1.06M + 1.08(12000 - M) = 12800 \]

\[ 1.06M + 12960 - 1.08M = 12800 \]

\[ -0.02M = -160 \]

\[ M = 8000 \]

সঠিক উত্তর: A

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