The rupee is trading at 61.23/24 versus its close of 61.13/14 on Monday, tracking losses in the domestic sharemarket and on the back of dollar demand from oil importers.
The BSE Sensex is down 0.2 percent on profit-taking after hitting record highs in the previous session.
Traders expect the pair to remain in a 60.90 to 61.40 range during the session with stocks moves the key to direction as traders will watch the likely direction of foreign fund flows.
Almost all Asian currencies trading stronger to the dollar.
Also Read: Don't see rupee sustaining below 60.50/$: StanChart
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