When was Tirumala Tirupathi built?

• Origin: Some cultural historians believe that Lord Venkatshwara has been mentioned in Rigveda and Ashtadash (18th) Purana. It is believed;it was constructed around 300 AD
  [1]

• Krishnadev Raya :Nevertheless, it has properly constructed by Krishna deva Raya
  [2]
   - a popular king . As a mark of respect; Tirumala Tirupati Deva Sthanam has placed idols of Krishna Deva Raya and his two consorts inside shrine
  [3]

• Tirupati Devasthalam : In 1932, British administration established Tirumala Devasthalam act 
  [4]
   for administration and proper management of this legendary and very sacred shrine.Ever since, TTD is looking after it.
• Pic credit: Google
• Om Namo Venkatesaya !

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Footnotes

[1] Venkateswara Temple, Tirumala - Wikipedia

[2] Krishnadevaraya - Wikipedia

[3] TTDTempleHistory

[4] Tirumala Tirupati Devasthanams - Wikipedia