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Amy_ywh · 2023年11月09日

老师我这样想错了么

NO.PZ2016010802000206

问题如下:

An exchange rate between two currencies has increased to 1.4500. If the base currency has appreciated by 8% against the price currency, the initial exchange rate between the two currencies was closest to:

选项:

A.

1.3340.

B.

1.3426.

C.

1.5660.

解释:

B is correct.

The percentage appreciation of the base currency can be calculated by dividing the appreciated exchange rate by the initial exchange rate. In this case, the unknown is the initial exchange rate. The initial exchange is the value of X that satisfies the formula:

1.4500/X = 1.08

Solving for X leads to 1.45/1.08 = 1.3426.

考点: Percentage Change in A Currency

解析:

1.4500/初始汇率= 1.08.

初始汇率= 1.45/1.08 = 1.3426

一开始的汇率 a/b0

b appreciate --> 1.08b0

所以1.45 = a/(b0*1.08)

求一开始的汇率比应该是1.45*1.08么?

1 个答案
已采纳答案

笛子_品职助教 · 2023年11月10日

嗨,努力学习的PZer你好:


老师我这样想错了么


Hello,亲爱的同学~

同学很善于思考,棒棒的。

只是这么想是有点小问题的。


b appreciate --> 1.08b0,所以1.45 = a/(b0*1.08)

同学的这句话是不正确的。


纠正为:

B升值8%,所以:1.45 =(a *1.08)/bo


这是因为:bo的价格是由a来体现的,a是计价货币,b是基础货币。


对于这类汇率的题目,老师有个简便的思考方式:同学把汇率想成商品就可以。


例如这道题可以改为:

一个苹果昨天是X元,今天涨了8%,今天是1.45元,问昨天这个苹果是多少钱。

我们列出方程就可以了:X *(1+8%)=1.45

解这个方程:X =  1.45/1.08 = 1.3426


如果还有其他问题,欢迎同学随时提问,祝学习顺利!

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

Amy_ywh · 2023年11月11日

谢谢老师!

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