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标题: 请教大牛一道输血狗。 [打印本页]

作者: pangpangshin 时间: 2011-1-12 07:13 标题: 请教大牛一道输血狗。

讨论稿25题，A产品卖了3 times as much as B, A 的profit是A 成本的80%，B 的profit 是B成本的20%，问profit占total 成本的多少。选项有45%，50%，60%。。。
不知道怎么做

作者: sumerlaws 时间: 2011-1-12 19:23

A cost = 100 so A profit = 80 so A sales = 180
Cuz A sales = 3 B sales so B sales = 60
Then B proft =10 and B cost = 50...

So total cost = 150, total profit = 90, Ans = 3/5 = 60%

Sorry cant type Chinese now...

作者: citidandan 时间: 2011-1-13 06:47

category  A          B
cost       ca          cb
price       pa          pb
profit    0.8ca    0.2cb

Also we know: pa = 3 pb; proft = price - cost.
Therefore,  for A's profit: 0.8ca = pa - ca; pa = 1.8ca
            for B's profit: 0.2cb = pb - cb; pb = 1.2cb
So ca/cb =(2/3) (pa/pb) = 2

The ratio of total profit/total cost = (0.8ca + 0.2cb) / (ca + cb) = (0.8 (ca/cb) + 0.2) / ((ca/cb) + 1)
                                                = (1.6 + 0.2) /(2 + 1) = 60%

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