Troublesome,Unreasonable and Rude wife?

I am from New Delhi, India.I had an arranged marriage seven months back. I am 34 and my wife is 32. My wife is working and does not bother to tell me where and how she is spending her salary. I bear all the expenses of the house.My old mother has to do all the household work and my wife shamelessly keeps sitting in her room and keeps watching TV. My wife does not even bother to speak to my parents or show any respect to them. Now when I asked her to do atleast some small household chores she stopped taking her meals, dint have her dinner and says I dont care for her. She remains aloof and is always nagging me on some thing or the other. She says what have I done for her even though I have given her a very comfortable life with all the modern amenities and facilities at home. She works at a place close to her parents home and goes to meet them everyday, they also encourage her for her such behaviour. I suspect that she gives some part of her salary to her parents thats why they support her blindly. My mother has never asked my wife to do any work. Its me who feels bad seeing my mother do all the work. My wife is basically very jealous of my mother, even though my mother has been very kind to her. My mother even prepares lunch for her which she takes to her office.But my wife never appreciates her kindness. After 2 months of marriage she shouted at my mother for no ryme and reason. However I cooled her down and handled the situation somehow. Then after a week of this incident she again shouted at my mother for not giving soap to her which was not present at that point in the house. At that time my father and I scolded her and paid her back in her own coin. Then onwards she is keeping a deep grudge against the family. We tried to reason it out with her parents, but they especially her mother kept encouraging her instead of scolding her.Even a month back she shouted very badly at my mother when my mom pleaded with her to have her dinner as she was refusing to eat due to some reason. From that day my mom has also begun to hate her a lot. I think if my wife's behaviour continues like this I will have to learn cooking and washing clothes which I have not done in my entire life. What to do with such an unreasonable wife?