LONDON—Luxury carmaker Rolls-Royce, a unit of Germany’s BMW, said on Monday its sales soared 49 percent to a record high in 2021 despite the global coronavirus pandemic, as demand worldwide for luxury vehicles surged. In an online presentation, Rolls-Royce CEO Torsten Müller-Ötvös said the carmaker sold 5,586 vehicles to customers in more than 50 countries, the largest number in its 117-year history. “I don’t think anyone would disagree with me that 2021 was the most volatile, unpredictable and challenging year for businesses across the board,” Müller-Ötvös said. “However, in the luxury sector as a whole, the struggle was not so much focused on attempting to find customers, but rather producing enough product to satisfy huge customer demand.” He said that sales hit all-time records in most regions, including China and the Americas. Premium and luxury car sales have been growing more broadly in key global markets such as China and …