Preheat oven to 350 degrees F (175 degrees C). Lightly grease a 10 inch tube pan.
In a large bowl, stir together flour and baking powder. In a separate bowl, beat together 2 cups sugar, vegetable oil, eggs. Stir egg mixture into flour mixture, alternately with orange juice, until smooth. In a small bowl, combine 5 tablespoons white sugar, 5 tablespoons brown sugar and 2 teaspoons cinnamon.
Pour 1/2 of batter into prepared pan. Add 1/2 of the apples then 1/2 of the cinnamon sugar mixture. Repeat laying with remaining ingredients.
Bake in preheated oven until a toothpick inserted into center of cake comes out clean, about 50 to 70 minutes. Let cool for 15 to 20 minutes, invert on a plate and serve.