Here are examples of some types of drugs that grapefruit juice can cause problems with (interact): Some statin drugs to lower cholesterol, such as Zocor (simvastatin) and Lipitor (atorvastatin). Some drugs that treat high blood pressure, such as Procardia and Adalat CC (both nifedipine). Some organ-transplant rejection drugs, such as Sandimmune and Neoral (both cyclosporine).