In the letter to Narendra Modi, the signatories have claimed that the justifications given by the Health Ministry for removing Chaturvedi from CVO's post are contrary to facts.
The signatories have also emphasised that Health Ministry has deliberately misled the Prime Minister by concealing many facts and demanded action against the Health Secretary for doing so.
The ministry had said that Chaturvedi was rejected by the CVC on procedural grounds and complaints were lodged against him.
"This will not have been possible without the CVC being aware of Chaturvedi's position as CVO, AIIMS and conducting routine transactions with him as CVO," the letter said.
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The letter also raised questions about prior approval of the CVC in the case of AIIMS CVO.
"Further, perusal of service rules suggests that prior approval of the CVC is required only in case of appointment of CVO of specific (commercial) organisations. AIIMS and a number of other autonomous educational and research organisations do not appear in that list; and the CVO of a number of autonomous institutions have been appointed without the prior approval of CVC as such approval is not mandatory," the letter says.
"We would also like to request you for an inquiry into the fact that he has been removed of his CVO charge without any information to the CVC.
"The culprits behind this illegal act should be tried and punished. In particular, the Health Secretary should be asked to explain the fact and circumstances that led him to conceal important details of the case from your good office," the letter said.