Only 40% and 20% of females were graduates in villages A and C respectively. If female population of villages A and C were equal, what was the respective ratio of number of non-graduate females (including illiterate females) in villages A and C?

Let females in village A = $$x$$

=> Females in village C = $$x$$

Literate females in village A = $$\frac{70}{100} \times x = \frac{7x}{10}$$

=> Graduate females in village A = $$\frac{40}{100} \times \frac{7x}{10}$$

= $$\frac{7x}{25}$$

Literate females in village C = $$\frac{72}{100} \times x = \frac{18x}{25}$$

=> Graduate females in village C = $$\frac{20}{100} \times \frac{18x}{25}$$

= $$\frac{18x}{125}$$

$$\therefore$$ Required ratio of number of non-graduate females (including illiterate females) in villages A and C

= $$(x - \frac{7x}{25}) : (x - \frac{18x}{125})$$

= $$(\frac{18x}{25}) : (\frac{107x}{125})$$

= $$90 : 107$$