Well, it depends on where exactly you want to live in Auckland. Herne Bay is the most prestigious and expensive district. Clendon Park, Otara, and Red Hill are cheaper. At any rate, I advise you to consult an Auckland-based property management company like https://www.crockers.co.nz, https://cgpm.co.nz, http://www.proactivepropertymanagement.co.nz, etc. They will help you find an apartment which will fit directly into your budget.