Sorry Guys.......I don't have the OA.
But I think it should be
E.
This is how i calculated it.
Lets say the camel needs to transport all the melons 1 km only.
It picks 1000 melons..........travels 1 km........drops 998 melons.......comes back(consuming two melons for the whole trip).
Again picks 1000 melons..........travels 1 km........drops 998 melons.......comes back(consuming two melons for the whole trip)
It picks 1000 melons and travels 1 km to the other side consuming 1 melons
So the camel consumes 5 melons to trasport these 1 km to the other side.
5 melons gone and the remaining melons are shifted 1 km to the other side.
So 1000 melons will be consumed to shift these melons to 200km from the start point leving us with 2000 melons and 800 kms to go.
Now
To transport all the melons 1 km, the camel will consume 3 melons
It picks 1000 melons..........travels 1 km........drops 998 melons.......comes back(consuming two melons for the whole trip).
It picks the remaining 1000 melons and travels 1 km to the other side consuming 1 melons
So now the camel consumes 3 melons to trasport these 1 km to the other side.
Now 1000 melons will be consumed to shift these melons to 333.33 kms to the other side . i.e 200 + 333.33 km from the start point leaving us with 1000 melons and (1000 - 533.33) = 466.66 kms to go.
Now the camel will pick all the remaining 1000 melons , travel 466.66kms and will be left with 533.33 melons on the other side making the answer choice as
E