Yes no problem, you are also allowed to give charity to non muslims but not zakat.

I wanted to ask if i am allowed to give to my non muslim cousin money as she is in need of it and asked me?

Charity | June 13, 2015 5:59 am
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My grandmother has passed away. I would like to do some sadaqa jaria for her so she will get reward. I am thinking of buying 100 qurans( from my money) and give them to people who visit the Janasa house. So when they read the quran the reward will go to my grandmother. Is this ok in Islam? If yes, how to should I keep my intention?
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Should we keep a record of all the Zakaat and the Sadaqah (KHAIRAAT) which we do daily or on yearly basis? Like should we keep the receipts received from the Zakaat collector?