05年數學會考MC..請解答

2008-02-22 2:05 am
Peter sold two flats for $999999each. he lost 10%on one and gained 10%o n the other.a
fter two transactions,peter gain or loss how much ?

A.gain 10101,
B.gain 20202,
C.lost 10101,
D.lost 20202

請詳細解釋及列出步驟..THZ

回答 (1)

2008-02-22 2:15 am
✔ 最佳答案
Let two flats be a and b respectively

he lost 10% on one
∴a(1 - 10%) = $999999
a = $1 111 110

he gained 10% on the other
∴b(1 + 10%) = $999999
b = $909 090

∴peter gain
=賣出價 - 買入價
= 2×$999999 - (a + b)
=2×$999999 - ($1 111 110 + $909 090)
=-$20 202

∴he lost 20202
∴The answer is D

2008-02-21 18:16:08 補充:
一開始Let的a和b是two flats的買入價


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