Bunuel wrote:

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

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)

_________________

Regards,

PKN

Rise above the storm, you will find sunshine