Whole Foods Market Inc.'s profit rose 11% as the grocery chain reported higher sales in the second quarter, which this year included the Easter holiday.

The company didn't disclose customer traffic figures in its release.

Shares, down 0.48% over the past 12 months, fell 10% to $42.85 in late trading.

In response to growing competition in the natural and organic food industry, the Austin, Texas, chain has added more store-branded foods, introduced a customer loyalty program, and last October launched its first national brand campaign. On Wednesday, the company said it planned to launch a new store concept geared to "millennial shoppers," but offered few details in a news release.

Whole Foods, which has more than 400 stores in the U.S. and targets about 1,200 stores, has sought to stand out by opening or remodeling stores to add unique features, like rooftop beer gardens, and technology initiatives.

For the 12 weeks that ended April 12, sales at stores open at least 13 months rose 3.6%, adjusted for currency fluctuations.

Overall, Whole Foods reported a profit of $158 million, or 44 cents a share, up from $142 million, or 38 cents a share, a year earlier.

Revenue increased nearly 10% to $3.65 billion.

Analysts surveyed by Thomson Reuters expected a profit of 43 cents on revenue of $3.70 billion.

Write to Maria Armental at maria.armental@wsj.com

Whole Foods Market, Inc. (NASDAQ:WFM)
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