In India, the concept of old age homes is becoming relevant due to the emergence of more and more nuclear families. However, it is not considered a socially acceptable solution as such. The laws in India require well settled individuals to ensure and pay for the 'maintenance' of their aged parents and they can be sued to ensure this is implemented. The typical family set up in India is a very emotional one. For the same reason, you may find many young people suing their parents for partition of property but you will rarely find parents suing their kids for securing any monetary benefits. That is how it is and has always been in India.
As a follower of Sri Sathya Sai Baba, I want to share one of His most profound teachings. You don't have to be a believer to practice this teaching. His teachings are typically relevant to non-believers too irrespective of country, religion or financial background:
"You will find at home pictures of God, kept in a special place for worship. In every home, however, there are living gods, whom the sages ask you to serve and worship. They are your parents. They gave you life. You owe your health and happiness to them. They love you, they serve you, they give as much as they can and even more. Yes, they often take less food, so that you can have your fill. They try to save money through various means so that you can be at school, or live in a hostel, or attend a festival or go on a school tour...Let your mother be your God. Let your father be your God. That is the teaching. How else can you thank them? What else can you give in return other than your love and service? Be kind, be soft and be sweet to them. Do not be rude and raw. Try your best to make them happy, obey them, for they know much more than you, of the world and its dangers. That is the way to worship them."