✔ 最佳答案
*3) Last year, the salaries of Cindy and Katy were the same. This year, Katy's salary is increased by 8% while Cindy's salary is decreased by $300.
(a) Suppose Katy's salary is $8100 now.
(i) What was Katy's salary last year?
Katy's salary last year
= $8100 / (1 + 8%)
= $8100 / 108%
= $8100 / 1.08
= $7500
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(ii) What is the percentage decrease in Cindy's salary?
Cindy's salary last year
= Katy's salary last year
= $7500
Percentage decrease in Cindy's salary
= $300/$7500 * 100%
= 4%
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(b) Suppose the difference between their present salaries is $1100. Find their salaries last year.
Let their salary last yeara be $x.
Katy's salary this year
= $x (1 + 8%)
= $x (108%)
= $1.08x
Cindy's salary this year
= $x - $300
= $(x-300)
As the difference is $1100, so
$1.08x - $(x-300) = $1100
1.08x - x + 300 = 1100
0.08x = 800
x = 10000
So their salary last year is $10000.
2007-01-11 17:47:04 補充:
小小補充:這條題目 (a)(i), (a)(ii) 和 (b) 是沒有關係的。因為 (a) 和 (b) 開首都說明「Suppose...」如果將它們一併考慮就會混亂了。