1) It's not a 10:1 ratio though, it's much more than that. These fare collection systems are very cheap relative to the money they bring in.
2) If there's sufficient money and will available to fund the transportation system to that level, then sure, that's great. But in most cases, I think it's better to just direct expansions in government train budgets towards expanding the network, not making it cheaper. Most people who drive cars don't drive because trains are expensive, they drive cars because there's no train at the time and place they want. Making trains cheaper doesn't address this problem.
> If there's sufficient money and will available to fund the transportation system to that level
there is! the system is already funded... people are just paying a portion of it out of pocket now and a bigger chunk out of taxes... the out of pocket part is really the same money but less efficient