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Income-tax HRA exemption: the lowest of HRA received, rent minus 10% of salary, and 50% or 40% of salary.
Exempt HRA is the lowest of three numbers: HRA received, 50% of (basic + DA) in a metro or 40% elsewhere, and rent paid minus 10% of (basic + DA). Taxable HRA is HRA received minus that exemption.
The metro switch is yours to set. City classification for tax is not the same list as the 7th Pay X/Y/Z list. Use the income-tax rule that applies to the year.