A cylindrical overhead tank is filled by two pumps $P_1$ and $P_2$. $P_1$ can fill the tank in 8 hr while $P_2$ can fill the tank in 12 hr. There is a pipe $P_3$ which can empty the tank in 8 hr. Both the pumps are opened simultaneously. The supervisor of the tank, before going out on a work, sets a timer to open $P_3$ when the tank is half filled so that the tank is exactly filled up by the time he is back. Due to technical fault $P_3$ opens when the tank is one-third filled. If the supervisor comes back as per the plan what percent of the tank is till empty?
None of these
Error(s) Found !!!