In the Forex market, the rupee today strengthened by 34 paise to close at 85 rupees and 64 paise against the US dollar, supported by a positive trend in domestic equity markets and persistent dollar sales from foreign banks. This marks the ninth consecutive session of a rise in the Indian currency. The dollar index, which indicates the US dollar’s strength against a basket of six other leading currencies, was trading at 103.91 in intraday trade.