f3 maths_percentage

Kayla

2006-10-20 4:46 am

plx list the step:::

Miss Lais net chargeable income is more than $90000. If the salaries tax payable on the first $90000 of the net chargeable income and that on the remaining net chargeable income are the same, find
(a) her net chargeable income,
(b) her salaries tax payable

question from exploring mathematics p133 SuppEx4 (#28)

回答 (1)

用戶103739

2006-10-23 6:12 am

✔ 最佳答案

you must list the tax rate for first $90000 and the remaining, or at least the ratio between them in (a).(Is it assumed the tax rate is the same as HK? but I don't know the rate too!)

Assume the tax rate for firse $90000 be x%, the remaining be y persent (should be given in question)

(a)
Let her net chargeable income = $N

the tax for first $90000 is 90000*x/100=900x
the tax for remaining part is (N-90000)*y/100=(N/100-900)y
900x=(N/100-900)y
900(x+y)=Ny/100
N=90000(x+y)/y

(b)
The salaries tax payable = the tax for first $90000 + that of remaining
_____________________= 2 * the tax for first $90000
_____________________= 2 * 900x
_____________________= 1800x

After you subsidies x and y by the tax rate given, you can get the answer

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