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Falling for the third day in a row, the rupee weakened further by 16 paise to end at 75.52 against the US currency on Tuesday, weighed down by a strong greenback in the overseas market and firm crude oil prices. At the interbank foreign exchange market, the local currency opened at 75.41 and witnessed an intra-day high of 75.16 and a low of 75.66 against the US dollar in the day trade. The local unit finally settled at 75.52 a dollar, down 16 paise over its previous close. On Monday, the rupee slid by 37 paise to close at a 15-month low of 75.36 against the US dollar.