Literate and Illiterate Population

Literate males $= 3600$. Since ratio of literate males to literate females is $2 : 3$, Literate females $= 3600 \times \frac{3}{2} = 5400$.

Let number of illiterate males $= 4x$ and illiterate females $= 3x$.

Total males $= 3600 + 4x$. Total females $= 5400 + 3x$.

We are given the ratio of total males to total females is $5 : 4$: $\frac{3600 + 4x}{5400 + 3x} = \frac{5}{4}$ $4(3600 + 4x) = 5(5400 + 3x)$ $14400 + 16x = 27000 + 15x$ $x = 12600$

Total number of females $= 5400 + 3x = 5400 + 3(12600) = 5400 + 37800 = 43200$.