Relevant Head

Is it a school ?.

Tuition income to be shown under the head "Income from other source".
It can be shown without bank receipt.

it can be shown under PGBP and you can claim all allowable expenses for the purpose of earning income

no it is private home tuition

If tuitions is your only profession then Income from tuition will be your main source of income and taxable under the head “Income from Business/Profession”. However, if you are in receipt of any other main source of income like salary income, house property income or income from other business and in addition to this you are giving tuitions, then such tuition income will be taxable under the head “Income from other Sources”.