设原定价格为A,商品量为1,则原期望利润0.5A1)前期销售: 按原定价格已销售商品量0.7,已获得利润0.7·0.5A=0.35A2)后期销售: 商品量1-0.7=0.3, 设折扣率为x%,新价格即为Ax%, 销售收入=0.3Ax% 成本=0.3A(1-50%)=0.15A 利润=0.3Ax%-0.15A3)总利润0.35A+0.3Ax%-0.15A=0.5A·82% 解得 x%=70% 即打了7折。