How to convince people that I'm not spoiled?

I'm always getting made fun of because I own nice stuff. People call me the "rich brat" and "daddy's little girl" because I have a new macbook, ipad, iphone, and nice clothes. The thing is that everything nice that I own have bought with my own money. I'm a part-time-nanny and I run a baking business, so I have a full salary even though I'm only 14. The point is that I'm tired of getting abused at school and everywhere else for this. I don't rub it in peoples' faces, I don't brag, I don't compare myself. I've said nothing about my stuff, but people still go after me. How can I make it stop?
PS- I'm Really sorry if this sounds narcissistic, I'm trying to be serious.

Just try and explain to them that you pay for everything yourself. Prepare some good comebacks also.

Explain to them that you bought it all with your hard earned money and if the continue to give you a hard time tell them to go **** themselves

You can't make them stop. You should ignore it. They're most likely jealous since they think you get all your stuff handed to you

Firs you can try calmly explaining to people that you worked hard as a nanny so you could buy these nice things and that it's hurtful for them to say that. Tell them if they want nice things like you then they should get a summer job. If they keep it up just say "Well I'd rather be a spoiled brat than uneducated trailer trash. You're just jealous because one day when I'm making good money you know you'll be too lazy and stupid to do well and you'll be living off my tax dollars"

People who have less than you do will always assume that you acquired what you have through being extremely lucky, you did a con job on someone, or, in some fashion, stole it. That is their protection from having to admit that you are smarter or work harder than they do. There's nothing you can say to those people that won't get a sarcastic response. The only way to make it stop is to surround yourself with people who aren't so threatened by what you have

People assume I'm spoilt but I work hard for my stuff.
But if my friends look at themselves they can see that they are really spoilt. Anyway, just stop buying your self nice stuff for a while or give them a gift. Doesn't have to be expensive. Hope this helps.