The U.S. government plans to sell a significant share of its remaining stake in General Motors Co. this summer despite the disappointing performance of the auto maker’s stock, people familiar with the matter said.

A sale within the next several months would almost certainly mean U.S. taxpayers will take a loss on their $50 billion rescue of the Detroit auto maker in 2009.

To break even, the U.S. Treasury would need to sell its remaining stake—about 500 million shares—at $53 apiece. GM closed off 27 cents a share at $29.97 in 4 p.m. trading Monday on the New York Stock Exchange, hitting a new low since its $33-a-share November initial public offering.

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