Preheat Oven to 180°C/160°C fan and prepare an 10 inch loaf tin lined with baking paper
Using electric beater cream together butter and caster sugar until light and fluffy.
Add oil and continue to mix at low speed until mixed well.
Add eggs one by one, mixing well after each addition.
Add lemon juice and lemon rind, followed by yoghurt. Continue to mix until smooth mixture is formed and all the ingredients are combined well.
In a bowl combine plain flour, baking powder and salt. Mix with spoon and add it to wet mixture.
Mix well until everything is combined. The batter will be thick but smooth.
Pour it in prepared tin and bake in the oven for 45 min to an hour.
For Icing : mix icing sugar with lemon juice
Allow the cake to cool down slightly and drizzle icing over the cake