Population of a district is 2,96,000 of which 1,66,000 are males. 50% of the population is literate. If 70% males are literate, then the number of women who are literate, is

Given,

Total population of the district = 2,96,000

Total number of males = 1,66,000 and females = 1,30,000

Total number of literates = 50 % of 2,96,000 = 1,48,000

70% of males are literates i.e 0.07 x 1,66,000 = 1,16,000 are literates

Now, total number of literate woman are,

(Total number of literates) - ( Total number of male literates)

$$\Rightarrow$$ 1,48,000 - 1,16,000 = 31,800.

Hence, option B is the correct answer.