Indian Institute of Foreign Trade 2012 Solved Paper

12 men can complete a work in ten days. Thus, 1 men will take 120 days.
In 1 day 1 men will complete $\frac{1}{20}$ 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 $\frac{8\times 9}{120}+\frac{4\times 9}{240}=\frac{3}{4}$ 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.