(20點)一條簡單的單利息**很緊急

let x = 本金

x (0.08) = $2000
x= 25000

25000 (1-8%)= $1500

--------------------------------------------------------- OR
0.08-0.02 / 0.08 * (2000) =$1500

結果一樣...

This is totally rubbish!!

The correct way of doing this problem is that by roger_cheung 1.

(a) 年利率8%=$2000
款項=$2000/8%=$25000
若把年利率調低2%，
新年利率
=8%(1-2%)
=8%(98%)
=7.84%
So，第二季可得的利息
=款項*新年利率
=$25000*7.84%
=$1960

Let Y be the money he saved :

Y × 8% × ( 1／4 ) = $2000
Y × 0.08 × 0.25 = $2000
Y = $100000

∴ He saved $10000. .


a) we know that he has saved $10000.

∴ $100000 × ( 8% － 2% ) × ( 1／4 )

= $100000 × 6% × 0.25

= $100000 × 0.06 × 0.25

= $1500

∴Ans : $1500


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(注: 每季的利息 = 本金 x 年利率 x 年期; 一季的年期是 1/4 年)

設原來本金為 $P
P x (8%) x (1/4) = 2000
P = $100,000

第一季後，本利總和是 $102,000 ($100,000 + $2,000)
第二季年利率是 6% (8% - 2%),
第二季可得的利息
= $102,000 x 6% x 1/4
= $1,530

2007-08-13 15:48:33 補充：
如只以單利息計算，計算第二季利息時可不考慮第一季的利息，而只以原來本金 $100,000 計算所以第二季可得的利息= $100,000 x 6% x 1/4= $1,500

2000/8%*2%=500
第二季可得的利息=500

2007-08-13 15:03:03 補充：
2000/8%*2%=25000*2%=500