McCormick & Co., Inc. said profit climbed 11% in the latest period, as acquisitions and cost-cutting helped boost the spicemaker's sales.

Chief Executive Lawrence E. Kurzius said the quarter's results also reflected strong performance in its consumer segment.

"Underpinning our growth is the rise in consumer demand for healthy flavor and high quality products, and we are meeting this demand with an expanding portfolio of on-trend products," Mr. Kurzius said.

For the period ended May 31, consumer segment sales rose 8.3% on a constant-currency basis, primarily on higher volumes and product mix, pricing and the impact of acquisitions. During the quarter, the company acquired Gourmet Garden, a maker of packaged herbs and spices.

Sales in the industrial segment, on a constant-currency basis, climbed 2.7%, mainly from higher volume and product mix. Including currency headwinds, growth in consumer rose by 7% while sales in the industrial segment fell by 0.7%.

Over all, McCormick posted a profit of $93.8 million, or 73 cents a share, up from $84.3 million, or 65 cents a share, in the year-earlier quarter. Excluding certain items, the company earned 75 cents. Analysts had expected 74 cents a share, according to a Thomson Reuters poll.

Sales increased 3.8% to $1.06 billion. The company said that on a constant-currency basis, sales grew by 6%. Analysts expected $1.06 billion in revenue.

McCormick in April walked away from making an offer for British food manufacturer Premier Foods PLC, which rejected a sweetened takeover bid by McCormick that was worth about $763 million. The Maryland-based company said then that, having completed due diligence on Premier Foods, it wouldn't be able to propose an offer price recommended by Premier Foods and be able to deliver appropriate returns for McCormick shareholders.

McCormick plans to reduce its costs by $400 million over the next four years. Mr. Kurzius said Tuesday the company increased its cost-cutting goal this year to a range of $100 million to $110 million, compared with a prior estimate of $95 million.

McCormick lowered its projected 2016 earnings per share to a range of $3.63 to $3.70 from a prior range of $3.65 to $3.72 to reflect one-time charges, but the company backed its adjusted range of $3.68 to $3.75.

Shares, which have risen 20% so far this year, were inactive in premarket trading.

Write to Joshua Jamerson at joshua.jamerson@wsj.com