I would say, if you are under 16 and never held a job, then suck it up and do as your parents demand. You are just a kid, too young to make demands on their parents.
If you are over 16, then get a job and spend your own money on makeup. Your parents will question your judgement, because they love you and are trying to protect you from making decisions that will make your life difficult. For that reason it is advisable to proceed slowly, so as not to shock your parents. Let them know that you're not crazy, so take small steps.