Explanation:

- Let's break down the problem: 12 men weave 20 shawls in 9 days.

- We need to find how many men weave 25 shawls in 27 days.

- First, find how many shawls 1 man weaves in 1 day: $\frac{20}{(12\times 9)}=\frac{5}{27}$.

- Next, calculate how many shawls are required per day for 25 shawls in 27 days: $\frac{25}{27}$.

- Calculate how many men are needed: $\text{Men}=\left(\frac{25/27}{5/27}\right)\times 12=5$.

- Option 1 gives 4 men.

- Option 2 gives 5 men.

- Option 3 gives 3 men.

- Option 4 gives 6 men.

- The correct option is option 2 - 5 men .

- .