The incident occurred Monday when residents of the Warasiya area arrived at the VMC headquarters in Khanderao market to complain about the contaminated water in the locality.
Deputy Mayor Chirag Barot has been a BJP member since 1990 and is a three-term municipal corporator, who had also served as the BJP's election in-charge of the Akota assembly constituency in December.
The proposal to install smart signages for 150 heritage buildings in Vadodara was put forth by the Heritage Trust, which is patronised by the Royal Gakewad family of erstwhile Baroda state.
The letter states that the city police, which "swung into action to involve itself in an internal rivalry of a political party", should also investigate the allegations made against the Mayor.
Speaking at Vadodara, where he inaugurated projects of the Vadodara Municipal Corporation (VMC) worth Rs 293 crore, Patel said it is "impossible for India to lag behind" in any field with PM Modi's "good governance".