The fastest way to get through the career league in Any% is shown below.
You need at least 200$ before signing the contract to buy the first "show off". If you have 550$ (which you should have) you can ignore the 2nd Advertisement after Fight 1. The 2nd Advertisement is only important if you lose (once) at Fight 2, 3 or 4, to have enough $ for an additional Party. If you ignore it will save a little bit time and you will always have enough "Fame" as a buffer to do the advertisment later. +90 lose at Fight 2 +120 lose at Fight 3 +125 lose at Fight 4 At Fight 5 you can lose 2 times because you will have +1250$.
Buy Show off Throw a Party Advertise Throw a Party Fight 1
Throw a Party Advertise Throw a Party Throw a Party Fight 2
Buy Show off Buy Show off Throw a Party Throw a Party Fight 3
Buy Show off Throw a Party Throw a Party Fight 4
Throw a Party Throw a Party Fight 5