GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 22:21

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58443
A man collected four different samples of apple juice of four differen  [#permalink]

### Show Tags

03 Jul 2017, 05:05
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:26) correct 13% (01:54) wrong based on 171 sessions

### HideShow timer Statistics

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 1722 times ]

Attachment:

2017-07-03_1603.png [ 13.55 KiB | Viewed 1716 times ]

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7995
Re: A man collected four different samples of apple juice of four differen  [#permalink]

### Show Tags

03 Jul 2017, 05:54
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
_________________
Manager
Joined: 13 Apr 2017
Posts: 76
Location: India
GMAT 1: 660 Q40 V41
GPA: 3.4
WE: Engineering (Energy and Utilities)
Re: A man collected four different samples of apple juice of four differen  [#permalink]

### Show Tags

21 Aug 2017, 09:28
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
Posts: 186
A man collected four different samples of apple juice of four differen  [#permalink]

### Show Tags

21 Oct 2018, 05:16
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.
_________________
______________________________
Press +1 Kudos if my post helped you a little and help me to ulcock the tests Wish you all success

I'd appreciate learning about the grammatical errors in my posts

Please let me know if I'm wrong somewhere and help me to learn
A man collected four different samples of apple juice of four differen   [#permalink] 21 Oct 2018, 05:16
Display posts from previous: Sort by