A town with literacy rate of 85% bas a population of 2500. If male population is 55%, and 92% of them are literate, then find the literacy rate of females in the town.

Total population of the town = 2500

% of male in the town = 55%

Number of males in the town = $$\frac{55}{100}\times\ 2500=1375$$

Number of females = 2500 - 1375 = 1125

Total literate males in the town = $$\frac{92}{100}\times\ 1375=1265$$

Total literate population in a town = 85% (given)

i.e $$\frac{85}{100}\times\ 2500=2125$$

Total literate females in the town = 2125 - 1265 = 860

According to question, 

Literacy rate of females in town = $$\frac{860}{1125}\times\ 100=76\ \frac{\ 4}{9}$$%

Hence, Option D is correct.