百分數問題!!!超急!!!!(20點)

2008-07-15 10:16 pm
某店提高一手錶的標價後,再提供折扣以吸引顧客購買。若該手錶成本為
$860,試寫出兩種方法,先以一特定百分數提高手錶的標價,再提供一個折扣
百分數,使得賣出的該手錶的盈利百分數剛好為35%

回答 (2)

2008-07-15 11:42 pm
✔ 最佳答案
1.
先以100%提高手錶的標價
標價 = $860*(1+100%) = $1720
再提供x%折扣
賣出價 = $1720*x%
1720*x% = 860(1+35%)
2x% = 1+35%
x% = 135%/2
x = 67.5% (6.75折)

2.
先以50%提高手錶的標價
標價 = $860*(1+50%) = $1290
再提供y%折扣
賣出價 = $1290*y%
1290*y% = 860(1+35%)
1.5*y% = 1+35%
y% = 135%/1.5
y = 90% (9折)
2008-07-15 11:15 pm
Let x be the % mark up. Therefore, the marked price = 860(1+x).
Let y be the % discount. therefore selling price = 860(1+x)(1-y).
Therefore, % profit =[ 860(1+x)(1-y) - 860]/860 = 0.35
(1+x)(1-y) - 1 = 0.35
(1+x)(1-y) = 1.35.
a) If x =0.5 (50%), y =1-1.35/1.5 = 1- 0.9 = 0.1 = 10%.
b) If x = 0.8(80%), y = 1-1.35/1.8 = 0.25 = 25% etc.


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