Navy officer Yoshitha Rajapakse, 27, was taken into custody by authorities for questioning about dealings at his private television channel, Carlton Sports Network (CSN), police said.
Yoshitha, a navy lieutenant, was taken before a magistrate court in a suburb of Colombo and remanded for two weeks, a court official said, adding that four other suspects were also remanded along with the former president's son.
Among the four was Nishantha Ranatunga, a younger brother of Sri Lanka's World Cup winning cricket captain Arjuna Ranatunga. Nishantha had been the chief executive of the CSN channel that secured broadcasting rights for all cricket matches.
The arrests followed months of investigations into the CSN station, which is accused of illegally using government equipment and vehicles for its daily operations and failing to pay billions of rupees in taxes.
Yoshitha is the closest family member of former president Rajapakse to be arrested. In April, authorities arrested Rajapakse's younger brother Basil who had been economic development minister under his sibling.
The former leader who was in court along with his wife and his eldest son Namal, a member of parliament, accused the new government of leading a witch hunt targeting his family.
Rajapakse and his relatives controlled nearly 70 per cent of Sri Lanka's national budget during the former president's rule that ended in January last year when he was defeated at the polls by his former ally Maithripala Sirisena.
The new president has vowed to investigate allegations that members of Rajapakse's family siphoned off billions of dollars from the country during his nearly 10-year rule.
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