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:

67.50% 82.50% 78% 58%

78%

Rural : Urban   3    :   2 ⇒ 3 : 2 or 30 : 20 ⇒ Men = 30 x \(\frac{80}{100}\) + 20 x \(\frac{75}{100}\) ⇒ Percentage of Men = 24 + 15 = \(\frac{39}{50}\) x 100 = 78%