Reportedly, the "Suno na sangemarmar" hitmaker was asked to give Rs.5 crore.
However, without giving any figure, Arijit confirmed the matter via an official statement to the media.
In the statement, he narrated: "I generally don't answer to unknown numbers. That day when Ravi Pujari called my phone was off and he called my manager. He told me he wants to talk to me and made a conference call. By then, I got to know from him that he was asking a ridiculous amount of money.
"But over the phone, he was talking like a gentleman and asked me if I can sing songs for him and told me to be in touch."
Arijit didn't feel the need to get police protection after Pujari's call even though reports indicate that following a statement by the singer's manager at the Oshiwara police station here, the officials made a diary entry of the matter.
"My manager gave a statement to police station about it. And police confirmed with me as well. They offered me security but I told them I have not been threatened so I don't need security," he said.
According to reports, when Arijit told Pujari he doesn't have that much money and will not be able to meet the demand, the latter told him to do a couple of shows organised by his men instead.
Arijit does not want the matter to be hyped in the media.
On Twitter, he wrote: "It's a humble request to media to stop bothering me about news. There are other important things happening in India."