A can do \(\frac{1}{3}\) part of a work in 8 days. B can do \(\frac{3}{4}\) part of the same work in 27 days. Working together in how many days can A and B complete 33.33% of the work?

4\(\frac{4}{5}\) days

A can do \(\frac{1}{3}\) part of a work in 8 days.

Therefore, A can do complete work alone in = 8 ×\(\frac{1}{3}\) = 24 days

B can do \(\frac{3}{4}\) part of the same work in 27 days.

Therefore, B can do complete work alone in = 27 ×\(\frac{3}{4}\) = 36 days

A and B together can do the whole work in = \(\frac{72}{5}\) days

Now,

A and B together can do 33.33% of the work in = \(\frac{72}{5}\) × \(\frac{1}{3}\) = \(\frac{24}{5}\) days = 4\(\frac{4}{5}\) days