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A dairy man pays $ 6.4 per litre of milk; he adds water and

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A dairy man pays $ 6.4 per litre of milk; he adds water and [#permalink] New post 23 Mar 2004, 00:57
A dairy man pays $ 6.4 per litre of milk; he adds water and
sells the mixture at $ 8 per litre, thereby making 37.5% profit. Find the
proportion of water to milk received by the customers.

1) 1 : 15
2) 1 : 10
3) 1 : 20
4) 1 : 12
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 [#permalink] New post 23 Mar 2004, 01:24
$0-------------------------------$64/11-----------------------------$6.4

(64/10)-(64/11) = 64/110 64/11 - 0 = 64/11

64/110 : 64/11 = 1:10
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 [#permalink] New post 23 Mar 2004, 11:19
halle, I bow before you. Perfect. :-D
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 [#permalink] New post 23 Mar 2004, 13:23
8*(m+w) = 1.375 * 6.4 * m
8w = m( 6.4 * (1.25 + 0.125) - 8 )
w/m = 0.8(1.25+0.125) - 1 = 0.1
so w:m = 1:10


I was trying not to solve quant problems for some time and concentrate on verbal. But kpadma dragged me into this. I think it is all about addiction. I wanr everyone about this addiction and suggest concentrating on certain known weak points.

:lol:
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 [#permalink] New post 23 Mar 2004, 13:54
Just to add my approach.
Price you would have to sell at in order to get 37.5% profit: 1.375*6.4$ = 8.8$
In order for you to still keep a 37.5% profit while selling the diluted milk at 8$, then the .8$ difference must represent the water proportion. Then water to milk: .8$ / 8$ = 1 : 10
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 [#permalink] New post 23 Mar 2004, 14:37
anandnk wrote:

But kpadma dragged me into this. I think it is all about addiction. I wanr everyone about this addiction and suggest concentrating on certain known weak points.

:lol:


Well, What can I say. I'm an addict, now! :drunk

Here is another method!

Customer gets 1 liter for $8
Vender pays (1-x)*$6.4 for that adulterated 1 liter milk and makes
37.5% profit.

Where X = water in 1 liter adulterated milk

6.4(1-x) * 1.375 = 8

Solve for X, we get 1/11.
Pure milk in 1 liter adultrated milk is 10/11

W:M = 1/11 : 10/11 = 1:10

Well, time for another round :drunk
  [#permalink] 23 Mar 2004, 14:37
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A dairy man pays $ 6.4 per litre of milk; he adds water and

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