Answer : Option A

Explanation :

30 men can do a piece of work in 27 days, and we know that men* days = total work
So, we can say that the total work = 30*27 = 810 units
Now ATQ, 18 men can do work 3 times greater than 810 units.
i.e., 18 men can do a work 3*810 = 2430 units in x days
Men *days = total work (2430 units)
18 * x = 2430
x = 2430/18 = 135 days

Solution 2:
Let the number of days required to do a work = x
Now, 30 men can do a piece of work in 27 days.
ATQ, if the work gets 3 times, then 18 men can finish the work in how many days.
Now, put the same unit on the same side.
i.e., if the work is the same as previous, then 18 men: 30 men = 27 days: x days
Or, x = (30*27)/ 18
But ATQ, the work gets 3 times greater
So, x = (30*27*3)/ 18 = 2430/18 = 135 days
Hence, 18 men can finish the other work which is 3 times greater than previous work in 135 days.