1 Question: Is it permissible for a lady to go out of her house for some errands perfumed, with the fragrance of her perfume reaching non-Mahram men?
Answer: It is not permissible if it tempts a non-Mahram man or normally causes him excitement (arousal), and she ought not do that.
2 Question: It is normal these days for a woman to put on mascara and make-up, even a little, for beauty and then go out in front of people in the markets and streets, what is the ruling on such?
Answer: This is not permissible. If she wears makeup or anything which is considered adornment in common view, she must cover it from strangers.