甲乙两件服装成本共500元,

2025-03-15 13:26:07
推荐回答(5个)
回答1:

原题:甲、乙两件服装成本共500元,商店老板为了获取利润,决定将甲服装按50%的利润定价,乙服装按40%的利润定价,在实际出售时,应顾客要求,两件服装均按9折出售,这样商店共获利157元,求甲乙两件衣服成本各是多少元?
解:设甲成本a元,则乙成本500-a元(或设为b元)
根据题意
甲定价a×(1+50%)=1.5a,乙定价(500-a)×(1+40%)=700-1.4a
(1.5a+700-1.4a)×0.9-500=157
(700+0.1a)×0.9=657
630+0.09a=657
0.09a=27
a=300元
甲的成本300元,乙的成本500-300=200元
或者二元一次方程组
a+b=500
(1.5a+1.4b)×0.9-500=157

回答2:

共有三种解法:
乙的成本是x元
[﹙1+40%﹚x+﹙1+50%﹚﹙500-x﹚]×0.9=500+157
x=200
500-x=300
乙的成本是200元
甲的成本是300元
.
解:设甲的成本为x元,乙的成本为500-x元
(1+50%)x*0.9+(1+40%)(500-x)*0.9=500+157
x=300
500-300=200元
答:甲的成本为300元,乙的成本为200元
解:设甲服装成本为X元,乙服装成本为Y元,列方程式组,
X+Y=500
(1.5X+1.4Y)*0.9=157+500
解方程组,得
X=300
Y=200
则,甲服装成本为300元,乙服装成本为200元。

回答3:

157是总利润吧
假设甲.乙的成本各为A、B,那么,
A*150%*0.9+B*140%*0.9=157+500
A+B=500
即A=300;B=200
甲的利润是300*1.5*0.9-300=105
乙的利润是200*1.4*0.9-200=52

回答4:

设甲成本为X,乙成本为Y。得到两个式子①X+Y=500 ②0.9 ×[(1+50%)X+(1+40%)Y]=157+500求X,YY=200X=300 这式子列的懂么??

回答5:

157是总利
乙的利润是200*1.4*0.9-200=52

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