You can easily get financing to buy an old car using any of the reputed banks in India.
The general criterias to get financing for a second hand car in India are:
1. Your age should be between 21 to 60 years.
You need to be employeed for at least two years and your salary should be more than 2.5L (this can include your spouse's income)
2. For self employeed person, the age bracket is between 25 to 65 years.
While you need show three years of business income and in some cases office landline number is required.