Q 2: Is it permissible to
deposit money in a bank without taking any profits?
If it is possible that a person who has money deposits it in banks which are not likely to use them in forbidden sales, then it is permissible to do so. If this person is unable to keep the money safely at home and is unable to deposit it in (Part No. 13; Page No. 343) a bank which deals in lawful transactions and he fears that it will be lost, he should do his best to deposit it in a bank that has the minimum of forbidden dealings.
May Allah grant us success. May peace and blessings of Allah be upon our Prophet Muhammad, his family and Companions!