The ratio of the number of rural and urban workers (includes men and women only) in an office is 3 : 2. If 20% of rural and 25% of urban are women, the percentage of men is:

The ratio of the number of rural and urban workers (includes men and women only) in an office is 3 : 2.

Let's assume the number of rural and urban workers in an office are 300y and 200y.

Total workers = 300y+200y

= 500y

If 20% of rural and 25% of urban are women.

Total number of women workers = 300y of 20%+200y of 25%

= 60y+50y

= 110y

Total number of men workers = 500y-110y

= 390y

Percentage of men = $$\frac{390y}{500y}\times100$$

= $$\frac{390}{5}$$

= 78%