The monthly support for a 4 member refugee family in Germany amounts to 5000 euro a month.
Recurring disinformation about allowances for refugees in Germany https://euvsdisinfo.eu/report/a-syrian-refugee-with-four-wifes-and-23-children-earns-2/. The real cost is difficult to count as the money is distributed by German federal states. The Federal Government pays the states a lump sum of 670 euro per refugee a month (that is 2680 for four). See: http://www.dw.com/en/the-complex-costs-of-integrating-refugees-in-germany/a-18818095