how long would it take for some one with no to little credit to get a loan?

im 19, i got a credit card 3months ago. my limit is low (300) being its my first and i dont have a job/ no bank or anything like that. they said if you pay your first three payments on time they will look into rasing your limit it 500. im mailing out my 3rd payment asap. question is... how long will it take for my credit to go up and i can get a 10,000 loan?