Courtesy and introversion?

I am an introvert and it confuses me when I have to be around people who are strangers and not familiar with me.
I would think about making a small talk then it would end in asking silly questions which would embarrass me. But if I don’t do it would amount to further embarrassment. I would like to know how do introvert people could become gentle introverts and how would they balance small talk and their own independence.

It is hard to make suggestions with so little info. If you give examples, a few at least, of what you dubbed silly questions, that would help.

For example, I was at a function, and I hate crowds. Then suddenly a relative or a cousin would come and I would smile. He would reciprocate, and then the convo would go like this
Me: How are you?
Him: I am fine, what about you?
Me: Well I am fine too. Thank you
Him: What do you do these days...it has been a long time..
I explains him about my job and blahblah blah
Then the convo would go in to my salary, where do I live and other aspects of my life which I don’t want to. At the same time I don’t want to hurt his sentiments too. I know I can easily say excuse me and go but he would take it up as avoiding him or something. Is there a curt yet smooth reply about the encroachment our private life? It should be like ‘do not ask and mind your own businesses with a smiling face
Thanks a lot

Maybe try turning the conversation back towards the other person with a line like, "Oh, we've been talking about me for too long. What have you been doing?"

In America, asking about salaries is off limits between cousins, acquaintances, and often even close friends. But you are in India. There are so many cultural details that it is hard to advise you, but the advice given above is perfectly suitable regardless of locale, I think.

Maybe you should avoid them. Are they really concerned about your well being, or just being nosy? What and why do they need all this information about you? Maybe in India they think it this is okay, but I have had friends from India and they never asked such questions. Maybe because you are related they can ask such questions more freely? who knows , they maybe looking for a better career.

When someone starts asking questions that seem to be too personal (salary, living, etc.) - could you say something like "could we please change the topic?" Or think of a vague non-answer to have it ready (like "they never pay me enough", or "I live in a quiet place"). Maybe some people start asking these questions because they haven't considered much about their asking? Perhaps they think that they are being sociable, and showing interest? However - when the questions are intrusive - then think of some answers ahead of time, or think of some topics to re-direct them.