Preheat the oven to 350°F (175°C).

In a mixing bowl, whisk together yogurt and sugar until smooth.

Add eggs and vegetable oil, mix well.

In another bowl, combine flour, baking powder, baking soda, and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Fold in the orange zest and juice.

Pour the batter into a greased cake pan.

Bake for 30 minutes or until a toothpick comes out clean.

Allow to cool before serving.