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A man collected four different samples of apple juice of four differen

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A man collected four different samples of apple juice of four differen [#permalink]

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New post 03 Jul 2017, 05:05
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A man collected four different samples of apple juice of four different brands, P, Q, R and S. He mixed the juices of exactly two brands to achieve a 60 percent concentration. If samples of P, Q, R and S are available in units of 1 milliliter, was the least total cost of the mixture obtained by mixing samples P and Q?


(1) The concentrations of the samples are:
Image

(2) The prices per milliliter of the samples are:
Image



[Reveal] Spoiler:
Attachment:
2017-07-03_1602.png
2017-07-03_1602.png [ 15.55 KiB | Viewed 606 times ]

Attachment:
2017-07-03_1603.png
2017-07-03_1603.png [ 13.55 KiB | Viewed 597 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 128603 [0], given: 12180

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Re: A man collected four different samples of apple juice of four differen [#permalink]

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New post 03 Jul 2017, 05:54
Bunuel wrote:
A man collected four different samples of apple juice of four different brands, P, Q, R and S. He mixed the juices of exactly two brands to achieve a 60 percent concentration. If samples of P, Q, R and S are available in units of 1 milliliter, was the least total cost of the mixture obtained by mixing samples P and Q?


(1) The concentrations of the samples are:
Image

(2) The prices per milliliter of the samples are:
Image



[Reveal] Spoiler:
Attachment:
2017-07-03_1602.png

Attachment:
2017-07-03_1603.png



Hi...

So we are looking for 60% concentration and minimum cost in making it

Let's see the statements..
1) statement 1 gives us the concentration..
It gives us following info..
a) 2 of P will mix with 1 of Q to get 3 ml of 69% concentration.
b) 1 each of P and S form 2 ml of 60% concentration.

But nothing on the cost.

II. Statement II gives us the cost per ml but nothing about the concentration.

Combined..
We have concentration and cost of each juice.
Sufficient..
a) P and Q will cost ..
2 ml of P with 1 ml of Q. So 2*1+1*4=6$ for 3 ml or 2$ per ml.
b) 1 each of P and S..
1*1+1*4=5$ for 2ml or 2.5$ per ml.

C
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Kudos [?]: 5453 [0], given: 112

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Re: A man collected four different samples of apple juice of four differen [#permalink]

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New post 21 Aug 2017, 09:28
In order to calculate the total cost, we need the concentration of the components in the mixture and the weightage(price) of each component in the mixture.

(1) and (2) together provide both the information.

Hence Ans. C

Kudos [?]: 11 [0], given: 30

Re: A man collected four different samples of apple juice of four differen   [#permalink] 21 Aug 2017, 09:28
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