Well actually I think the ultimate goal is people having to work less. Getting women to work sounds like a solution from your problem description. But the real problem seems to be welfare of the elderly. If another solution (like social insurance) could be found, perhaps women wouldn't need to work. Perhaps even society would restructure itself.
Only 60 years ago it was common in the western world that women had to stay at home to take care of the family and household chores. I don't think it was only feminism that changed that, but also technology. For example washing machines probably saved a lot of time (even a bachelor can wash their own clothes these days). Not sure how widespread access to such technology is in India?