Regarding PTRC & PTEC registration

A person is Director in a private limited company and at the same time is also the Proprietor in his proprietorship firm. (NOTE: The pvt ltd company is registered with PTEC and PTRC and paying the same for itself and its directors and employees).

1) Does such a person need to obtain separate PTRC or PTEC registration for proprietorship firm, when the pvt ltd company is already paying PT on his behalf?

2) If yes, then which should be obtained PTRC or PTEC

Thanks