Answer : Option A

Explanation :

We can resolve the problem in 2 steps:

i. If 8 men can reap 80 hectares, then how many hectares can reap by 36 men in the same number of days
Now, the same type should be on the same side
Let the required number of hectares = x
Men and hectares are directly proportional to each other.
So, 8: 36 = 80: x
Or, x = (36*80)/8
Or, x = 360 hectares

ii. If 360 hectares in 24 days, then how many hectares can reap in 30 days?
Similarly, 24: 30 = 360: x
So, x = (360*30)/24
Or, x = 450
Hence, 36 men can reap 450 hectares in 30 days.

Solution 2:
We know that 8 men work 24 days and reap a field of 80 hectares.
Similarly, 36 men work 30 days and reap a field of x (let) hectares.
Now, we know that men * days = total work
So, 8*24 = 192, that means total work done is equals to 192
Now, 36*30 = 1080, that means the work done by 36 men is 1080 unit.
Now, put the same unit on same side
Or, 192: 1080 = 80: x
Or, x = (1080*80)/ 192 = 450
Hence, 36 men can reap 450 hectares in 30 days.