During interrogation, it was found that all of them had fled a “refugee camp” in Bangladesh’s Cox’s Bazar and entered India illegally.
They remained on the boat Wednesday awaiting a decision by the local government whether to accept them.
Hundreds of thousands of ethnic Muslim Rohingya have fled Myanmar due to a military crackdown and many live in densely crowded refugee camps in Bangladesh.
Cyclone Amphan has killed at least 22 people in Bangladesh and left many displaced in the country's coastal areas.
The refugees, including 15 women and six children, landed on Bhasan Char island on Saturday and are believed to be from one of several boats stuck at sea.
Health and police personnel would visit them to check their health status, police sources said, adding that no positive case has been reported with regard to Rohingyas under the Rachakonda police.
The money would go to respond to the needs of approximately 855,000 Rohingya refugees from Myanmar and over 444,000 vulnerable Bangladeshis, UN said.
Bangladesh is home to nearly a million Rohingya including 740,000 who fled a military crackdown in Rakhine state in August 2017 that the UN has called ethnic cleansing.
Tensions are rising in south-east Bangladesh two and a half years after hundreds of thousands of Rohingya refugees fled a military offensive in Myanmar.
More than 600,000 minority Rohingya Muslims have fled to Bangladesh to escape violence in Myanmar's Rakhine State since August 25 last year.
Some 700,000 members of the Muslim minority have fled Myanmar since August to escape a bloody military crackdown.
Bangladesh will begin relocating around 100,000 Rohingya refugees to a desolate island off its southern coast despite warnings the site is prone to violent weather.
Canada announced targeted sanctions in February against a Myanmar general who led the army crackdown.
Police in Bangladesh's southeast said they were investigating after a boat moored at a Thai island with dozens of Rohingya aboard.
Nearly 700,000 Rohingya Muslims have sought shelter in southern Bangladesh since Myanmar launched a brutal crackdown on insurgents in August that the US and UN have called ethnic cleansing.