Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju

Question

Arty, Martha, Jenny, and Ralph all set sales goals for the month of July. Arty and Ralph have the same sales goal, and the sum of Martha and Jenny’s sales goals is equal to twice the difference between Martha and Ralph’s sales goals. If Martha has a higher sales goal than does Ralph, what is the group’s average sales goal?

(1) Arty’s sales goal is $50,000

(2) Martha’s sales goal is 60,000

(1) Arty’s sales goal is $50,000

(2) Martha’s sales goal is 60,000

chetan2u · Answer

A=R
M+J=2(M-R)..........M+J=2M-2R.............J=M-2R
groups average =  \frac{A+R+M+J}{4}=\frac{A+A+M+M-2A}{4}=\frac{2M}{4} 
we require M's value

(1) Arty’s sales goal is $50,000
M not known
insuff

(2) Martha’s sales goal is 60,000
M is given 
avg = 30000
suff

B

PKN · Answer

Question stem:-
Average sales goal=?

Given, A=R, J+R=2(M-R) or, J=M-2R
Total no of goals=A+M+J+R=A+R+2(M-R)=A+R+2M-2R=A-R+2M=A-A+2M=2M
Or, Total no of goals=A+M+J+R=A+R+J+J+2R=A+A+2J+2R=4A+2J
So, Average sales goal= \frac{2M}{4}=\frac{M}{2} ------------(a)
Or, Average sales goal= \frac{4A+2J}{4} -------------------------------------------(b)

St1:- A=$50,000, from (a) & (b),we need M or J to determine average sales goal.So, not sufficient.
St2:- M=$60,000, from(a), we can determine average sales goal, So, sufficient.

Ans. (B)

AdityaHongunti · Answer

Bunuel  please correct the OA to B
OA is B

Bunuel · Answer

__________________
Edited. Thank you.

saukrit · Answer

This is just based on simplifying the question stem. If you are focussing enough on that, the question really is not that difficult....And for a DS question, C is mostly a trap(especially on the difficult questions) ...Do not answer C unless you are crystal clear about everything... If at all you need to guess on a DS question, never choose a C...

TarPhi · Answer

So J=M-2R

M = 60,000 R=50,000
J = -40,000

How is this possible?

chetan2u · Answer

Yes, you are correct. Logically, the sales goal cannot be negative. Value of A given in statement 1 should be not greater than 30000, and is, therefore, not correct.

Hoozan · Answer

Bunuel   GMATinsight

While I agree with the simplification of the question and thus proceeding with the statements I want have a doubt with the following:

we are given that

A = R
M + J = 2(M - R)

Now if we combine the two statements we get

60,000 + J = 2(60,000 - 50,000)
60,000 + J = 20,000

But how is that possible? J cannot be a negative value?

bumpbot · Answer

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Arty, Martha, Jenny, and Ralph all set sales goals for the month of Ju

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