if the value of a piece of property decreases by 10 percent while the tax rate on the property increases by 10 percent, which is the effect on the taxes? 答案是 taxes decrease by 1 percent 谢谢啦 这是陈向东那本GRE数学快速突破p251 104题 拜托大家啦
假设property为100, 100降低10%,为90,while又升高10%,90的10%是9,因此,taxes还是降低了1/100=0.01,即为1%。
假设原来的property为x,原来的tax rate为y,原来的taxes为xy,现在的property为0.9x,现在的tax rate为1.1y,现在的taxes为0.9x*1.1y=0.99xy,现在的减去原来的再除以原来的,就是影响了吧(0.99xy-xy)/xy=-0.01=-1%,哦,就是decrease by 1percent