Hello Student

No you will not face any problem not at all. As you are living in Varanasi since your childhood and every documents is of Varanasi Uttar Pradesh then even your permanent address that your parent address permanent address is Allahabad though  you will not face any problem whenever there will be any document verification in any type of entrance  test's counselling in India. As an example , in case of domicile certificate the student who studied in a place at least up to class 10 will eligible to get the opportunity for getting domicile certificate from that  respective place or city or district or state.  So even your permanent at this that is your parent house is in Allahabad and you have competitive education in Varanasi then all the certificate from Varanasi is it to any City district Town or state for any kind of examination counselling and jobs.

Hope this will help.