A baked cake comprising, • at least 15%wt of water on the basis of the total weight of the cake, and further comprising, on the basis of dry matter in the cake, • at least 30%wt of flour, whereby at least 70%wt of the total amount of flour consists of rye flour, • at most 5.0%wt of total fat, • at least one added bulk sweetener, and • at least 35%wt of the total of added bulk sweeteners together with possibly further added conventional sugars, whereby the bulk sweetener is a carbohydrate having a molecular weight of at most 10000 g/mol, other than a conventional sugar, whereby a conventional sugar is a monosaccharide or a disaccharide, with the exception of pure polyols, whereby the added conventional sugars represent at most 50%wt of the total amount of added bulk sweeteners and added conventional sugars, whereby the total of the added bulk sweeteners and the added conventional sugars, insofar as the latter are present, have an average molecular weight, calculated on a number basis, Mn, of at least 150 g/mol and at most 250 g/mol, and whereby at most 85%wt of all the added sweeteners, including the added conventional sugars, consist of polyols, including sugar alcohols, whereby the polyols have a molecular weight which is higher than the molecular weight of glucose. • at least 15%wt of water on the basis of the total weight of the cake, and further comprising, on the basis of dry matter in the cake, • at least 30%wt of flour, whereby at least 70%wt of the total amount of flour consists of rye flour, • at most 5.0%wt of total fat, • at least one added bulk sweetener, and • at least 35%wt of the total of added bulk sweeteners together with possibly further added conventional sugars, whereby the bulk sweetener is a carbohydrate having a molecular weight of at most 10000 g/mol, other than a conventional sugar, whereby a conventional sugar is a monosaccharide or a disaccharide, with the exception of pure polyols, whereby the added conventional sugars represent at most 50%wt of the total amount of added bulk sweeteners and added conventional sugars, whereby the total of the added bulk sweeteners and the added conventional sugars, insofar as the latter are present, have an average molecular weight, calculated on a number basis, Mn, of at least 150 g/mol and at most 250 g/mol, and whereby at most 85%wt of all the added sweeteners, including the added conventional sugars, consist of polyols, including sugar alcohols, whereby the polyols have a molecular weight which is higher than the molecular weight of glucose. whereby the bulk sweetener is a carbohydrate having a molecular weight of at most 10000 g/mol, other than a conventional sugar, whereby a conventional sugar is a monosaccharide or a disaccharide, with the exception of pure polyols, whereby the added conventional sugars represent at most 50%wt of the total amount of added bulk sweeteners and added conventional sugars, whereby the total of the added bulk sweeteners and the added conventional sugars, insofar as the latter are present, have an average molecular weight, calculated on a number basis, Mn, of at least 150 g/mol and at most 250 g/mol, and whereby at most 85%wt of all the added sweeteners, including the added conventional sugars, consist of polyols, including sugar alcohols, whereby the polyols have a molecular weight which is higher than the molecular weight of glucose.