下面,百利天下小编为大家介绍的是GRE数学投资问题讲解,帮助考生更好地掌握GRE数学知识点,数学能够成功取得满分。
GRE数学投资问题介绍
GRE investment problems usually earned on a given principal amount at algebraic equation,although sometimes involve interest and require more than simply calculating interest a given rate. They usually call for you to set up and solve an you can solve these problems intuitively.
一、基本概念
①Discount(折扣):商品按原定价格扣除百分之几出售。If a price is discounted by n percent, the price becomes (100—n) percent of the original price.
②Interest(利息):借款人支付给贷款人的报酬。利息可分单利(simple interest)和复利(compound interest)两种计算方法。
③Simple Interest(单利):计算利息的一种方法。不管期限长短,仅谈本金(principal)计算利息,其所 生利息不再加人本金重复计算利息。
④Compound Interest(复利):单利的对称。经过一定的期限,将所生利息加人本金再计利息,逐期滚算,俗称“利上滚利”。
⑤Rate or Percent of Interest(利率):亦称“利息率”,指一定时期内利息额同贷出金额的比率,有年利率、月利率和日利率。
⑥ Profit(利润):Gross profit is equal to revenues minus expenses,or selling price minus cost.
二、基本性质
(1) Selling Price (销售价):Cost(原价或价值)士Gain或Loss(盈或亏)
=(c+cr)/100
(2) Discount(折扣)=Cost(原价)X Discount Rate(折扣率)
Discount Price(折扣价)=原价—折扣
(3) Interest(利息)
① Simple Interest (单利)=Principal(本金)X Interest Rate(利率)X Time(时间),式中时间单位与利率的时间单位应一致。以单利计算的本金利息和=p(1 +n•r),其中,p为本金,n为时间,r 为利率。
② Compound Interest(复利):A = P(1+ r)n,式中:A 为本利和(principal + interest),P 为本金 (principal),r 为利率(rate or percent of interest) ,n 为期数。
注意:单利与复利计算时,一定要注意单位换算,如是以半年为单位计算复利,还是以三个月为单位计算复利
GRE数学投资问题实例讲解
1. A certain appliance costs a merchant $ 40. At what price should the merchant sell the appliance in order to make a gross profit of 30 percent of the cost oi the appliance?
解:设x为销售价,则由题意可列出方程x —40=40X30%,解这个方程可得x= $52。
2. Mrs. Jones sold two house for $80,000 each. One house was sold at a 20 percent loss and the other at a 20 percent gain.
A The gain minus the loss
B 0
解:一个房子盈20%和另一个房子亏20%的销售价相同,都是$ 80,000,因而盈的房子的原价比亏的房子的原价低,从而盈与亏的差数为负数,所以本题的正确答案为(B)。
以上就是小编为大家介绍的GRE数学投资问题讲解,希望大家能够牢固掌握上面的知识点,备考成绩。
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