The population of a district is 327000, out of which 224000 are males. 65% of the population is literate. If 65% males are literate, then what percentage of females are literate?

Correct option is C

​Given:
Total population of the district = 327000
Number of males = 224000
Percentage of total literates = 65%
Percentage of literate males = 65%
Formula Used:
​$$\text{Total literates} = \text{Total population} \times \left(\frac{\text{Literacy}\%}{100}\right) \\\ \\\text{Male literates} = \text{Male population} \times \left(\frac{\text{Literacy}\%}{100}\right) \\\ \\\text{Female literates} = \text{Total literates} - \text{Male literates} \\\ \\\text{Female literacy \%} = \left(\frac{\text{Female literates}}{\text{Total females}}\right) \times 100 \\\ \\$$​​
Solution:
Number of females= 327000 − 224000= 103000
Total literates= 327000 × $$\frac{65}{100}$$​ = 212550
Number of literate males= 224000 × 6$$\frac{65}{100}$$​= 145600
Number of literate females= 212550 − 145600= 66950
Female literacy percentage= $$\frac {66950}{ 103000}$$​ × 100 = 65%

Exam Hall Method: