© 2015 CERN. © 2015 CERN, for the LHCb Collaboration. Published by the American Physical Society under the terms of the «http://creativecommons.org/licenses/by/3.0/» Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Using pp collision data collected by LHCb at center-of-mass energies s=7TeV and 8 TeV, corresponding to an integrated luminosity of 3fb-1, the ratio of the branching fraction of the Bc+→ψ(2S)π+ decay relative to that of the Bc+→J/ψπ+ 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/ψ→μ+μ- and ψ(2S)→μ+μ- decays. This measurement is consistent with the previous LHCb result, and the statistical uncertainty is halved.