12 men can complete a work in ten days. 20 women can complete the same work in twelve days. 8 men and 4 women started working and after nine days 10 more women joined them. How many days will they now take to complete the remaining work?

12 men can complete a work in ten days. Thus, 1 men will take 120 days.
In 1 day 1 men will complete $$\frac{1}{120}$$ of the work.
20 women can complete the same work in twelve days.
Thus, 1 women will take 240 days to complete the work.
Thus, In 1 day 1 women will complete $$\frac{1}{240}$$ of the work.
8 men and 4 women work for 9 days completing $$\frac{8*9}{120}$$+ $$\frac{4*9}{240}$$ = $$\frac{3}{4}$$ of the work.
Thus, $$\frac{1}{4}$$ of the work is remaining.
Now 8 men and 14 women work completing $$\frac{8}{240}$$+$$\frac{14}{240}$$ = $$\frac{1}{8}$$ of the work in 1 day.
To complete $$\frac{1}{4}$$ they'll take 2 days.
Hence, option A is the correct answer.