Pyare bhai,
The old transfer letters work no more now. The transfer deed used for transfer of ownership is issued by the excise itself. It is valid for one month only. If you do get it issued and not use it, it will be of no use.
What you can do now is, get the old transfer letter signed by the previous owner and make a sale agreement on a stamp paper that you have bought the car and paid the seller.
In addition to that, you can have an authority letter, signed by the seller which allows you to drive the car
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