What is the meaning of the noble verse: "And no bearer of burdens will bear the burden of another," and will I be sinful if I give my friend perfume and she wears it outside the house, or if I sell clothes to women and they wear them in the street?

Allah does not hold anyone accountable for another's sin, for "no burdened soul will bear the burden of another." If someone gifts a permissible item to a person, not knowing that it will be used for something unlawful, there is no sin upon them. However, if they know or strongly suspect that it will be used for something unlawful, then they are sinful for assisting in sin, as Allah Almighty says: "And do not cooperate in sin and aggression." This also applies to selling permissible items; it is not permissible to sell them to someone known to be using them for unlawful purposes, otherwise the seller would be sinful.