If the population ratio (i.e. the proportion of men and women) in Village X is 10:8, and female literacy is 60%, estimate the number of literate women in Village X (Use data from the previous question)

Let the total number of men be x.

Given, the total percentage of literate people= 75%, which is given to be 1200.

So, $$75\%\ \times\ x=1200$$

=> $$\ \frac{\ 75}{100}\times\ x=1200$$

=> $$\ \frac{\ 3}{4}\times\ x=1200$$

=> $$\ \ x=1200\times\ \ \frac{\ 4}{3}$$

.'. x= 1600.

Since men:women ratio is 10:8, i.e for every 10 men, there are 8 women. 

So, for 1600 men, number of women will be $$\ \frac{\ 8}{10}\times\ 1600$$= 1280.

Women literacy is given to be 60%.

So, number of literate women= $$\ \frac{60}{100}\times\ 1280$$= 768- Option C.