Officials said Naik's sister Nailah Noorani met the Investigating Officer (IO) of the case at the agency's office here during which her statement was recorded under the provisions of the Prevention of Money Laundering Act (PMLA).
They said the agency wanted to grill Noorani about the alleged fund transactions in her account and the firms associated with her.
The central probe agency had registered a criminal case against Naik and others last December after taking cognisance of an NIA complaint filed under the Unlawful Activities (Prevention) Act.
It has also summoned Naik but he is still to depose before the agency as he is reported to be abroad.
It has recently arrested Naik's close aide Aamir Gazdar in this case.
The National Investigation Agency (NIA) had earlier registered a case against 51-year-old Naik under anti-terror laws for allegedly promoting enmity between different religious groups.
NIA and Mumbai police had also carried out searches at 10 places in the megapolis, including residential premises of some of the office bearers of a foundation run by Naik, which was earlier put on restricted list by the Union Home Ministry for receiving funds from abroad.
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