He was later admitted in a government hospital after he complained about health problems, doctors said.
"He was admitted to NRS hospital and he is presently in ICCU after complaining of chest pain. We can't say anything more than this," Principal of NRS hospital Manju Banerjee told PTI.
Majumdar, who had worked as Director General (Armed Police) in West Bengal, was allegedly associated with Saradha Group, which has been accused of duping thousands of investors with crore of rupees, official sources said.
CBI has registered four FIRs against Saradha Group in the chit fund scam.
The Supreme Court had handed over the Saradha chit fund scam probe to CBI and asked the state governments to provide all logistical help to the agency's team investigating the matter.