We investigate the growth of bulges in bright ( M _ { B } < -20 ) disc galaxies since z \sim 1 , in rest-frame B and I -band , using images from HST ACS and WFC3 in GOODS-South for high redshifts ( 0.4 < z < 1.0 ) and SDSS for local ( 0.02 < z < 0.05 ) . The growth history has been traced by performing two-component bulge-disc decomposition and further classifying the bulges into pseudos and classicals using Kormendy relation . We have about 27 % pseudo and 40 % classical bulges in our sample . Classical bulges are brighter than pseudo , in both rest-bands , at all redshifts probed here ; in fact since z \sim 0.77 , classical are about \sim 1 mag brighter than pseudo bulges . Both bulges have witnessed substantial growth , more than half of their present day stellar mass has been gained since z \sim 1 . Their host discs have grown concurrently , becoming progressively brighter in rest-frame I -band . The high redshift host discs of both pseudo and classical bulges are found to be equally clumpy in rest-frame B -band . In the same band , we found that the growth of classical bulges is accompanied by fading of their host discs - which might be an indication of secular processes in action . However , both host disc as well as the bulge have grown substantially in terms of stellar mass . Our analysis suggests that , clump migration and secular processes alone can not account for the bulge growth , since z \sim 1 , accretion and minor mergers would be required .