The Prime Minister said drastic action was needed to prevent health costs soaring and life expectancy falling.
Under measures introduced recently by Denmark, a surcharge is being placed on foods that contain more than 2.3% saturated fat.
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The levy is targeting high-fat products such as butter, milk, cheese, pizza, meat, oil and processed food in a bid to improve health.
Danish consumers have criticised the step, while retailers have complained about excessive bureaucracy.
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