Company ABC starts an educational program in collaboration with Institute XYZ. As per the agreement, ABC and XYZ will share profit in $60:40$ ratio. The initial investment of rupee 100{,}000 on infrastructure is borne entirely by ABC whereas the running cost of \rupee 400 per student is borne by XYZ. If each student pays rupee 2000 for the program, find the minimum number of students required to make the program profitable, assuming ABC wants to recover its investment in the very first year and the program has no seat limits.