Payment of PT without having place of Business and Form U applicability without having branch offices in the relevant states?

I am an Accounts and HR Manager of XXX Software Technologies Pvt. Ltd., Which is into Software Development and Recruiting services. Our principal Employer is situated in Bangalore but we don't have any branch elsewhere except Hyderabad which is the registered place of business. We employ people from Hyderabad, Bangalore and Pune. We recruit them online and send to locations though we don't have any branches in Bangalore and Pune. My question is
1. Do we need to Pay PT for our employees located in Bangalore and Pune in their respective state Governments? If yes please tell me the procedure of the same without having branch offices in the relevant states.
2.Do we required to file Form U under Karnataka labour laws? if yes please tell me the procedure of uploading the same.

@Vardha
if the company maintain their salary register at Hyd only, then the person going to various places would be treated, on "deputation on demand" who are employed in Hyd only, but visit all over india as the company needs
if you provide the "manpower" on monthly hire basis, then you can ask the principal to maintain this formality at their end, otherwise you have to establish state wise branch offices, for PT as well as GST payments
as the invoices are issued from Hyd office only, PT is applicable as per state of telangana rules,