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

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Math Expert
Joined: 02 Sep 2009
Posts: 52902
A man collected four different samples of apple juice of four differen  [#permalink]

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03 Jul 2017, 04:05
00:00

Difficulty:

5% (low)

Question Stats:

86% (01:29) correct 14% (01:54) wrong based on 157 sessions

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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:

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

Attachment:

2017-07-03_1602.png [ 15.55 KiB | Viewed 1469 times ]

Attachment:

2017-07-03_1603.png [ 13.55 KiB | Viewed 1461 times ]

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Joined: 02 Aug 2009
Posts: 7334
Re: A man collected four different samples of apple juice of four differen  [#permalink]

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03 Jul 2017, 04:54
1
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:

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

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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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

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21 Aug 2017, 08:28
1
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
Manager
Joined: 21 Jul 2018
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A man collected four different samples of apple juice of four differen  [#permalink]

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21 Oct 2018, 04:16
I know how too solve this question for DS but not having an Idea how we can solve for PS. Bunuel GmatDaddy could you please help me.
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A man collected four different samples of apple juice of four differen   [#permalink] 21 Oct 2018, 04:16
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