Thats quite a low budget for a new bike + all the accessories you might need, but its do-able wityh care.
Do you need the bike for everyday transportation/commuting or strictly for athletic training.
Do you want to ride in all weathers (inc rain)
Do you want to ride: on roads /easy trails/technical trails
Do you want to carry and loads:
-light loads (books, spare clothes),
-med loads (shopping), or
-heavy loads (camping)
Will you ride in poor lighting conditions.
Need input.......