PF and Payroll - finance team says employees statutory should be paid as per their location?

Few employees are deployed in Pune and Bangalore and their statutory (PF, ESI and PT) is paid as per Tamilnadu Statutory.
Now the finance team says employees statutory should be paid as per their location. Please clarify.

PF can be maintained through one code any where in India.
ESI - Sub-code has to be obtained for each location against main code.
PT- Location based as it is State subject.
Thanks & Regards,
S K Bandyopadhyay ( Howrah, WB)

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Provident Fund : It is a mandatory contribution fund for the future of an employee for retirement purpose or for their immediate dependents in case of death
Employee state Insurance: ESI fund regulated by ESIC is applicable to all the employees whose income is 15,000 INR or less per month. It offer medical & cash benefits.
Profession Tax : Profession Tax is a state based tax. It is deducted from an employee's gross income before computing his/her tax.PT varies from one state to other state
Tax deducted at source: TDS is a type of tax that is deducted from an individual income on a periodical or occasional basis. It is managed by central board of Direct taxes which comes under Indian Revenue services