Congress spokesperson Ajoy Kumar raised the demand for a probe after alleging a Rs 10,651.80-crore scam in the company's foreign exchange expenses from years 2006-07 to 2015-16.
He demanded answers from Modi, who was the Gujarat chief minister till 2014.
"The Congress party demands that there should be a CBI investigation monitored by a Supreme Court judge into the scam in the Gujarat State Petroleum Corporation," he told reporters.
"This is the biggest scam and Prime Minister Modi's slogan of 'na khaoonga, na khaane doonga' (won't allow corruption) is a mere rhetoric and 'jumla'," he alleged.
"Should there not be a detailed investigation into the GSPC scam and should Narendra Modi not answer questions about the scam? Will prime minister Modi not answer the people of Gujarat and the country on this issue?" he asked.
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