Asian private equity house Affinity Equity Partners has sold a South Korean maker of lower-price cosmetics to LG Household for $364 million, marking one of the country’s most lucrative exit deals. Affinity, one of the more active equity funds in Asia’s fourth-largest economy, might reap three to four times its investment in TheFaceShop from the sale, after it reportedly bought the company for about 80 billion won ($69.23 million) in 2005. LG Household & Healthcare, the country...