In a town, the present number of employed people is 40,000. If the number of employed men decreases by 4% and the number of employed women increases by 12%, the total employed population becomes 40,480. What is the present number of employed men?

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Accepted Answer

1. Let employed men = $M$ and women = $W$. So $M+W=40000$.

2. After changes: men = $0.96M$, women = $1.12W$. Total becomes $0.96M+1.12W=40480$.

3. Substitute $W=40000-M$: $0.96M+1.12(40000-M)=40480\Rightarrow -0.16M=-4320$.

4. So $M=4320/0.16=27000$. The present number of employed men is **27000** (option **(c)**).

FINAL_ANSWER: <c>

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