WHEATON, Ill. – German grocery chain Aldi Inc is trying to beat the world's biggest retailer at its own game: low prices.

Already with 1,600 U.S. stores, Aldi’s internal studies show its prices are 21 percent lower than its lowest-priced rivals, including Wal-Mart Stores Inc WMT.N, according to Chief Executive Jason Hart. He plans to maintain that gap going forward.

His strategy, previously unreported, centers on adding more private-label goods, which are a retailer's in-house brands, to win over price-sensitive customers, and a massive expansion to further disrupt a U.S. grocery sector that has seen 18 companies go bankrupt since 2014.

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