The total population of a village is 5000. Th | vedclass

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(C) Let the number of males be $M$ and the number of females be $F$.Given,$M + F = 5000$  --- $(1)$After an increase of $10\%$ in males and $15\%$ in

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$3000$

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(C) Let the number of males be $M$ and the number of females be $F$.Given,$M + F = 5000$  --- $(1)$After an increase of $10\%$ in males and $15\%$ in females,the new population is $5600$.So,$1.10M + 1.15F = 5600$ --- $(2)$From $(1)$,$F = 5000 - M$.Substitute this into $(2)$:$1.10M + 1.15(5000 - M) = 5600$$1.10M + 5750 - 1.15M = 5600$$5750 - 0.05M = 5600$$0.05M = 5750 - 5600$$0.05M = 150$$M = \frac{150}{0.05} = 3000$Therefore,the number of males in the village was $3000$.

The total population of a village is $5000$. The number of males and females increases by $10\%$ and $15\%$ respectively,and consequently,the population of the village becomes $5600$. What was the number of males in the village?

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