數學天才大召集:F3percentage淺數 急!!!

2012-12-13 2:32 am
Ada's daily working hours have increased by 18.75% but her hourly pay has decreased by 5%. Find correct to 1dp, the percentage change in her daily income.

A. 112.8%
b.87.2%
C. 13.8%
D. 12.8%

連步驟同解釋 唔該曬!!!!!!! :DDDDD

回答 (3)

2012-12-13 3:10 am
✔ 最佳答案
D. 12.8%
Let h be the original hour she worked and $y be original hourly pay
(h(1+18.75%)(1-5%)y-hy)/hy x100%
=12.8%
*h and y will be cancelled out later on
2012-12-13 10:27 am
The answer is D. 12.8%

Let initial hourly pay = $1/h, initial total hours work = 1h
Initial income = $1/h x 1h = $1.00
Income after change = ($1/h x 1.1875) x (1 h x 0.95) = $1.128125
% change = [($1.128125 – $1.00)/$1.00] x 100% = 12.8125%
2012-12-13 3:10 am
I'm F3

阿達每天的工作時間增加了18.75%,但她的時薪減少了5%。找到正確的1DP,她每天的收入變動的百分比。

Ans isA


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