<h1>Rupee slips to 87.36 per dollar as dollar demand rises; foreign inflows, lower crude cap losses ahead of Fed remarks</h1> The rupee weakened to 87.36 per US dollar in early trade amid increased dollar demand, though foreign institutional inflows and lower crude prices limited losses; markets awaited remarks from the US Federal Reserve Chair. Market participants reported importers and a large public sector bank buying dollars, and lingering uncertainty over an imminent 25% additional US tariff on certain exports due to take effect on August 27 was cited as a downside risk. The dollar index strengthened modestly and equity indices fell, while foreign institutional purchases provided partial support to the domestic unit.