The Indian rupee fell by 8 paise to Rs. 52.79 per US dollar in early trade on the Interbank Foreign Exchange today, weighed down by a lower opening in the domestic equity market.The domestic currency had notched up a gain of 25 paise to close at Rs 52.71 against the dollar in the previous session on fresh dollar-selling by exporters amid a smart rally in domestic equities.Dealers said apart from the lower opening in the equity market, some dollar demand from importers put pressure on the rupee. However, they said that Euro gains against the American currency limited the losses.