But Kumar said he did not have full information about the property but it was believed to run in crores.
IAC was prompt in its reply, and said that it did not understand how Shanta Kumar did not have full information about Priyanka's property, as it was the BJP that was running the government in Himachal Pradesh.
"We don't understand this. He can find this out quickly as his party is in power. We appeal to Shanta Kumar and chief minister PK Dhumal that they tell the public whether Priyanka has any property in Shimla as is alleged," the IAC reply said.
"We also know that no outsiders can buy property in Himachal without the state government's permission. If this is true, when was Priyanka Vadra given permission to buy property in the state and which government gave it?"
When asked whether it would demand a probe against Priyanka's property, the central BJP was non-committal and said that the decision was up to the state unit. The party ducked a reply on what the Himachal Pradesh government had done so far on the issue.
The veteran BJP leader's letter is being seen as part of an attempt to embarrass the Dhumal government.
"We will wait for the state party to come out with its stand. However, Shanta Kumar is a senior party leader. Whoever raises the issue - IAC or BJP - it is important that the government responds to the charges," said BJP spokesperson Nirmala Sitharaman.
The party said the allegations against Robert Vadra were part of a chain of graft charges connected with the Congress - CWG, 2G spectrum and coal scam - though it had not concentrated on playing up the matter (Vadra-DLF deal).