A novel and simple method is proposed to select the physics solution in the decays of Y (4230) → ηJ/ψ and Y (4230) → η ′ J/ψ, where multiple solutions have been reported in the experimental measurements. Based on an η-η ′ mixing analysis, a unique solution is determined for the decay of Y (4230) → η ′ J/ψ. But no conclusion can be drawn for Y (4230) → ηJ/ψ yet due to the large uncertainties in experimental results. It turns out reducing the uncertainty of the η-η ′ mixing angle is crucial for solving this problem, and will provide indication on whether Y (4230) contains substantial ss quark component or not.