The population of a district is 333000, out of which 213000 are males. 71% of the population is literate. If 71% males are literate, then what percentage of females are literate?

Correct option is D

Given:
Total population = 333000
Male population = 213000
71% of total population is literate
71% of males are literate
Formula Used:
​$$\text{Total Literates} = \frac{71}{100} \times \text{Total Population}\\\ \\\text{Literate Males} = \frac{71}{100} \times \text{Male Population}\\\ \\\text{Literate Females} = \text{Total Literates} - \text{Literate Males}\\\ \\\text{Female Literacy \%} = \left( \frac{\text{Literate Females}}{\text{Female Population}} \right) \times 100\\\ \\$$​​
Solution:
Female population =  Total population - Male population = 333000 - 213000 = 120000
Total Literates = $$\frac{71}{100} \times 333000 = 236430$$​​

Literate Males = $$\frac{71}{100} \times 213000 = 151230$$​​
Literate Females = 236430 - 151230 = 85200
Female Literacy Percentage = $$\left( \frac{85200}{120000} \right) \times 100 = 71\%$$​​