Graduate female population of State C is what percent of the Standard XII female population of that state ?

Total graduate population of State C = $$\frac{15}{100} \times 24$$ lakhs

=> Graduate female population of State C = $$\frac{4}{9} \times \frac{15}{100} \times 24$$ lakhs

= $$32 \times \frac{1}{20} = 1.6$$ lakhs

Total standard XII population of State C = $$\frac{18}{100} \times 32$$ lakhs

=> Standard XII female population of State C = $$\frac{5}{9} \times \frac{18}{100} \times 32$$ lakhs

= $$\frac{32}{10} = 3.2$$ lakhs

$$\therefore$$ Required % = $$\frac{1.6}{3.2} \times 100$$

= $$50 \%$$