Lately, when people are asked how they are, many respond with "Good, and how is yourself?". Is this proper grammar?
when people ask how i am, i smile and tell them i am hungry, lonely, scared, miserable, ugly, hot, and dumb! this keeps them busy for the whole day, wondering what sort of nut i must be... ;-)
It should be" Good and how about yourself" or " Good and how about you"
No, it's not proper grammar. It should be "Well, and you?" If you want to be polite then you could say "Well, thank you, and you?