Using pp collision data collected by LHCb at center-of-mass energies root s = 7 TeV and 8 TeV, corresponding to an integrated luminosity of 3 fb(-1), the ratio of the branching fraction of the B-c(+) -> psi(2S)pi(+) decay relative to that of the B-c(+) -> J/psi pi(+) decay is measured to be 0.268 +/- 0.032(stat) +/- 0.007(syst) +/- 0.006(BF). The first uncertainty is statistical, the second is systematic, and the third is due to the uncertainties on the branching fractions of the J/psi -> mu(+)mu(-) and psi(2S) -> mu(+)mu(-) decays. This measurement is consistent with the previous LHCb result, and the statistical uncertainty is halved.