"Eagerly awaiting Rahul ji's poetic explanation for #VadraTicketGate," Ms Irani tweeted.
The minister's tweet came after Times Now channel claimed that "the absconding arms dealer Bhandari (had) booked business-class tickets for Vadra in 2012".
Mr Vadra's reaction to the report was not available.
Times Now said Mr Vadra and his lawyers had earlier denied having any links with the absconding arms dealer.
Ms Irani's swipe at Mr Gandhi, asking for his "poetic explanation", came two days after the Congress leader targeted the government over the Global Hunger Index by citing a poem in a tweet.
Ms Irani had hit back then in a similar fashion.
Hitting back, Ms Irani had tweeted:
"Ae satta ki bhookh, sabr kar, aankde sath nahi to kya, khudgarzon ko jama kar, mulk ki badnami ka shor toh macha hi lenge (hey hunger for power, be patient, what if you don't have the numbers, you can collect selfish people, noise can be made to malign the country)."
In another tweet, the Information and Broadcasting Minister had said, "Not surprising that in his keenness to run down Hon PM, Rahul Gandhi maligns the Nation."
Along with this tweet, Ms Irani posted a statement by Health Minister J P Nadda which read: "Facts vs Fiction on Global Hunger Index to enlighten people who are keen to run down our country by twisting facts."
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