Tension gripped Mohad town, about 23 kilometres from the district headquarters, on Sunday night after some persons shouted slogans in favour of Pakistan and celebrated its cricket team's win by bursting firecrackers.
According to police, the suspects also raised anti-India slogans.
Security was stepped up immediately in the town to avoid any law and order problem.
The police later registered a case on a complaint lodged by one Subhash Laxman Koli and arrested the 15 persons yesterday, Shahpur police station in-charge Sanjay Pathak said.
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Besides slogan shouting, they also hurled expletives at the suspects, who were produced in the court under heavy police arrangements.
The court of Judicial Magistrate (first class) Poonam Domecha rejected the bail applications of all the 15 persons and sent them to jail, following which they were taken to Khandwa district jail.
"There was a complaint that the accused celebrated Pakistan's victory by bursting crackers and raising pro-Pakistan and anti-India slogans," Pathak said.
City Superintendent of Police (CSP) Vrahaspati Singh said additional police force was deployed in the court to avoid any untoward incident.
Pakistan had hammered India by 180 runs to lift the Champions Trophy.