HDFC Bank has lowered its marginal cost of lending rate by 10 basis points across tenures with effect from June 7.Last month, HDFC Bank had cut its MCLR by 15 basis points. Borrowers with MCLR-linked loans may see a fall in EMIs or a shorter loan tenure.Reserve Bank of India's 50 basis points rate cut led major banks to reduce lending rates for faster policy transmission.Public sector banks like Bank of Baroda and UCO Bank also cut their rates following RBI's rate cut to accelerate policy rate transmission.