Mumbai, Oct. 28 -- The Indian rupee extended downside and fell back to a two-week low in opening trades on Tuesday amid muted domestic equities. INR opened at Rs 88.34 per dollar and fell to a low of 88.40 so far during the day. Yesterday, rupee plunged 43 paise to close at 88.26 against the US dollar, as broad strength in crude oil prices and month-end dollar demand from importers weighed on investor sentiment. Rally in crude oil prices was driven by a potential US-China trade deal, which supports expectations for a stronger global oil demand. Meanwhile, Indian shares rose notably on Monday as softer-than-expected U.S. inflation report raised hopes of additional Federal Reserve rate cuts in 2025 and reports suggested that the United Stat...