In this paper, we prove a Talenti-type comparison theorem for the p-Laplacian with Dirichlet boundary conditions on open subsets of a normalized RCD(K,N) space with K>0 and N∈(1,∞). The obtained Talenti-type comparison theorem is sharp, rigid and stable with respect to measured Gromov–Hausdorff topology. As an application of such Talenti-type comparison, we establish a sharp and rigid reverse Hölder inequality for first eigenfunctions of the p-Laplacian and a related quantitative stability result.