Apple Inc. sold a record of more than 10 million iPhones the first weekend two new versions hit stores, helping Chief Executive Officer Tim Cook in a push to narrow Samsung Electronics Co.’s lead in bigger-screen smartphones.

Sales surpassed last year’s 9 million units when the iPhone 5s and 5c were introduced, the company said in a statement Monday. The devices went on sale on Sept. 19 in the same countries as the 2013 rollout, with the exception of mainland China, which had sparked concern this year’s debut might fall short of the record.

“While our team managed the manufacturing ramp better than ever before, we could have sold many more iPhones with greater supply and we are working hard to fill orders as quickly as possible,” Cook said in the statement.

Cook is using the iPhone 6, which has a 4.7-inch display, and iPhone 6 Plus with a 5.5-inch screen to push into the turf of Samsung, HTC Corp. and other manufacturers of jumbo smartphones. The rollout of the new iPhones, which account for more than half of Apple’s $171 billion in annual revenue, will be followed by the anticipated debut of new iPad models next month as the company revamps its product lineup ahead of the holiday shopping season.

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