**Concept: The question deal with Minima/Maxima problem**

**Solution:-**

Let there be w women

=>No of men =200-w

25% of women =0.25 w are home owners

Also, 20% of men = 0.2(200-w) are home owners

Thus 0.25w + 0.2(200-w) = 0.05w + 40 =w/20 + 40

We have to minimize this equation.=>w has to be minimized

Minimum value of w for which w/20 is an integer(as number of women as homeowners cannot be a non-integer) = 20

So, at w=20, w/20 +40 =41

**(option e)**