Can A person start his own proprietor business use Pvt limited with his business or small company name like ABC Pvt. limited?

Can A person starting his own proprietor business use Pvt limited with his business or small company name like ABC Pvt. limited..or Pvt limited is customized only for big companies?.If he can use pvt. limited with his individual small company or business name will he be liable to more taxes as compared to if he uses other names like ABC services and traders?Please guide me