Mumbai, May 12 -- The Indian rupee depreciated 35 paise to close at an all-time low of 95.63 (provisional) against the US dollar on Tuesday, as renewed tension between the US and Iran has led to risk aversion in global markets. Market sentiment remained dominated by fears that the 10-week-old conflict could further tighten global supply, particularly after President Donald Trump rejected Tehran's latest response to a US-backed peace proposal, calling it totally unacceptable. Moreover, market participants interpreted Prime Minister Narendra Modi's comments over the weekend regarding fuel conservation and lower imports as a subtle acknowledgement that India's trade deficit and balance-of-payments pressures could worsen if crude prices remai...