Nigel Dennis (Dennis Price) is a blackmailer who threatens to publish embarrassing secrets in his magazine ''The Naked Truth''. After attempting to blackmail a famous scientist (who commits suicide), and an MP (who suffers a heart attack in parliament, and probably succumbs), his latest targets are Lord Henry Mayley (Terry-Thomas), television host Sonny MacGregor (Peter Sellers), writer Flora Ransom (Peggy Mount), and model Melissa Right (Shirley Eaton).