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歡迎您訪問數學考題練習:一種藥品經兩次降價,由每盒50元調至40.5元!

數學考題練習:一種藥品經兩次降價,由每盒50元調至40.5元

更新時間:2024-01-12 16:41:56作者:貝語網校

一種藥品經兩次降價,由每盒50元調至40.5元,平均每次降價的百分率是

A.5%

B.10%

C.15%

D.20%

試題答案

B

試題解析

降低后的價格=降低前的價格×(1-降低率),如果設平均每次降價x,則第一次降低后的價格是50(1-x),那么第二次后的價格是50(1-x)2,即可列出方程求解.

解答:設平均每次降價的百分率是x,根據題意得50(1-x)2=40.5

解得x=1.9(不合題意舍去),x=0.1

故選B.

點評:本題考查求平均變化率的方法.若設變化前的量為a,變化后的量為b,平均變化率為x,則經過兩次變化后的數量關系為:a(1±x)2=b(當增長時中間的“±”號選“+”,當降低時中間的“±”號選“-”)

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