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# A dishonest milkman wants to make a profit on the selling of

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Intern
Status: gmat fresher
Joined: 07 Jun 2012
Posts: 24
GPA: 3.87
A dishonest milkman wants to make a profit on the selling of  [#permalink]

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Updated on: 19 Dec 2013, 11:49
12
00:00

Difficulty:

55% (hard)

Question Stats:

68% (02:36) correct 32% (02:38) wrong based on 229 sessions

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A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?

(A) 1:20
(B) 1:10
(C) 1:8
(D) 1:4
(E) 6:11

Originally posted by sdpp143 on 19 Dec 2013, 11:45.
Last edited by Bunuel on 19 Dec 2013, 11:49, edited 1 time in total.
RENAMED THE TOPIC.
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Joined: 19 Apr 2013
Posts: 72
Concentration: Entrepreneurship, Finance
GMAT Date: 06-05-2015
GPA: 3.88
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Re: A dishonest milkman wants to make a profit on the selling of  [#permalink]

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19 Dec 2013, 19:07
8
2
sdpp143 wrote:
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?

(A) 1:20
(B) 1:10
(C) 1:8
(D) 1:4
(E) 6:11

Hi, This is a Mixture question.
For Solution Please see attachement.

Thanks AB,

+1 Kudos if you like and Understand.

Attachments

Sol_1.jpg [ 42.36 KiB | Viewed 11091 times ]

##### General Discussion
Intern
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Re: A dishonest milkman wants to make a profit on the selling of  [#permalink]

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20 Dec 2013, 10:27
But you made a small mistake
C.P of 1 litre of mixture =(100/120)*36 =30
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Re: A dishonest milkman wants to make a profit on the selling of  [#permalink]

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20 Dec 2013, 22:03
my approach:

cost needed to net a 20% profit:
(36-x)/x = .2
x=30

actual cost:
33

solution (x=liters of water needed to be added to the 1liter of milk):
33/(1+x)=30
x = 1/10

so to get the cost down to 30
Milk:Water
1:1/10

or (10/10):(1/10)
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Re: A dishonest milkman wants to make a profit on the selling of  [#permalink]

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21 Dec 2013, 01:29
2
1
sdpp143 wrote:
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?

(A) 1:20
(B) 1:10
(C) 1:8
(D) 1:4
(E) 6:11

Name:
water = w (liter)
Milk = m (liter)

==> Cost = Price x Quantity = 0.33m
==> Revenue = Price x Quantity = 0.36(m + w)
==> Profit = 0.36(m+w) - 0.33m = 0.2*(0.33m) [20% of cost]
==> 0.36m + 0.36w - 0.33m = 0.066m
==> 0.036m = 0.36w
==> m/w = 0.36/0.036 = 10
--OR--
w/m = 1/10

B is correct.

Hope it helps.
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Joined: 02 Jul 2015
Posts: 17
Re: A dishonest milkman wants to make a profit on the selling of  [#permalink]

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22 Oct 2015, 09:13
Well. This might be one of the easiest methods. Solved this within a minute. In these type of questions plugging in the options might help you save a lot of time. For that, first choose the median ratio and plug in. You ll know whether the median ratio is right or wrong. If wrong, then you ll know whether the ratio is higher or lower than the median. So you ll eliminate 3 answer choices here. Out of the remaining two, plug in one ratio. If its right you got your answer. If its not, then the other one is your answer.
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Re: A dishonest milkman wants to make a profit on the selling of  [#permalink]

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11 May 2018, 05:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A dishonest milkman wants to make a profit on the selling of &nbs [#permalink] 11 May 2018, 05:59
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# A dishonest milkman wants to make a profit on the selling of

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