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

Question

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:

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Official Answer

C

chetan2u · Answer

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

Dkingdom · Answer

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

Gmatprep550 · Answer

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.

Keyurneema · Answer

1st of All, the possible sample combo would be P&Q ,and P&S

1. for P&Q , to make concentrated sol of 60% - ( Weighted Avg= 60%)

Q2/Q1=A2-WA/WA-A1 = 66-60/60-48=1/2, it means 2ml-P & 1 ml-Q

For P&S, to make concentrated sol of 60% - ( Weighted Avg= 60%)

Q2/Q1=A2-WA/WA-A1 = 66-60/60-54=1/1, it means 1ml-P & 1 ml-S

But we don't know the price per ml of samples so 1. is not sufficient

2. We have price per ML but don't know concentration of samples so ii. alone is not surf,

combining both the eq together

PQ COMBO :2 ml p & 1 ml q costs = 2*1+1*4/3 = $2

PS COMBO :1 ml p & 1 ml Q costs = 1*1+1*4/2 = $2.5

SO YES- the least total cost of the mixture obtained by mixing samples P and Q.

Ans is C

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

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