The population of a district is 360000, out of which 225000 are males. 35% of the population is literate. If 17% males are literate, then what percentage of females are literate?

Correct option is D

Given:
Total population = 360,000
Number of males = 225,000
Out of total makes, 17% of them are literate
Solution:
Number of females = Total population - Number of males = 360,000 - 225,000 = 135,000
Total number of literates = 35% of 360,000 = 0.35 × 360,000 = 126,000
Number of literate males = 17% of 225,000 = 0.17 × 225,000 = 38,250
Now, the number of literate females = Total literates - Literate males
Literate females = 126,000 - 38,250 = 87,750
Percentage of literate females = $$= \frac{\text{Literate females}}{\text{Total females}} \times 100 \\$$​​

Percentage of literate females = $$= \frac{87,750}{135,000} \times 100 = 65\%$$​​