The correct option is B Bhargavi
The given data can be summarized as:
Tushar - husband of Archana - lives in Pune
Sailesh - husband of Bhargavi who is dancer - lives in Goa
Ranjit - husband of Chandrika who has long hair, doesn't write letters - lives in Mysore
From the above data, it is quite clear that Bhargavi is dancer.
Hence, option (B) is the correct answer.