Does applying an alcoholic perfume invalidate the fast, when one is unaware that it contains alcohol?

It is permissible for a fasting person to use deodorant that contains fragrance, and their fast is not invalidated by it. However, if the deodorant contains alcohol, it should not be used unless the alcohol has transformed from its original state. One who used the aforementioned perfume out of ignorance is not sinful, and their fast is valid and not nullified by its use.