Is it permissible to take an excess amount of money from the entrusted funds at work if it matches a previously lost amount?

The ruling varies depending on the circumstances and evidence. If it was not the questioner's habit to mix his private money with the trust money, or there was a possibility of an error in dealing with the entities to which the trust money was disbursed, or he lost the thousand before receiving the trust, then he is not entitled to take the extra amount for himself. The evidence that the extra amount is equal to the lost amount is not sufficient on its own to indicate that it is indeed his.