In a product test of a common cold remedy, \(x\) percent of the patients tested experienced side effects from the use of the drug, and \(y\) percent experienced relief of cold symptoms. What percent of the patients tested experienced both side effects and relief of cold symptoms?

(1) Of the \(1,000\) patients tested, \(15\) percent experienced neither side effects nor relief of cold symptoms.
(2) Of the patients tested, \(30\) percent experienced relief of cold symptoms without side effects.

Answer: E

Source: Official Guide