The population of a district is 384000, out of which 192000 are males. 69% of the population is literate. If 53% males are literate, then what percentage of females are literate?

Correct option is C

Given:
Total population = 384,000
Number of males = 192,000
Percentage of literate population = 69%
Percentage of literate males = 53%
Formula Used:
Total literate population = Literate males + Literate females
​$$\text{Total population} \times \text{Total literacy \%} = \text{Male population} \times \text{Male literacy \%} + \text{Female population} \times \text{Female literacy \%}$$​​
​$$\text{Female literacy \%} = \frac{\text{Total literate} - \text{Literate males}}{\text{Female population}} \times 100$$​​
Solution:
Number of females  = Total population - Number of males = 384000 -192000 = 192000
$$\text{Total literate population} = 384,000 \times \frac{69}{100} = 264,960 \\ \text{Literate males} = 192,000 \times \frac{53}{100} = 101,760 \\ \text{Literate females} = 264,960 - 101,760 = 163,200 \\ \text{Percentage of literate females} = \frac{163,200}{192,000} \times 100 = 85\% \\$$​​
85% of the females are literate.