In a pilgrim station, on a certain day if each cottage is occupied by 4 pilgrims, 240 pilgrims will be left and if each cottage is occupied by 6 pilgrims 40 cottages will be left unoccupied. Find the number of cottages and the number of pilgrims. And then,find how many pilgrims should be accommodated in each cottage so that no cottage will be empty and no pilgrim will be left unaccommodated.