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The average (arithmetic mean) earnings of the members of group A is $1

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The average (arithmetic mean) earnings of the members of group A is $1  [#permalink]

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New post 09 Jan 2018, 09:55
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The average (arithmetic mean) earnings of the members of group A is $10,000 less than the average earnings of the members of group B. What is the difference in the total earnings between group A and group B?

(1) The total number of people in both groups is 100.
(2) The average earnings of the first group is $40,000

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Re: The average (arithmetic mean) earnings of the members of group A is $1  [#permalink]

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New post 09 Jan 2018, 11:11
Bunuel wrote:
The average (arithmetic mean) earnings of the members of group A is $10,000 less than the average earnings of the members of group B. What is the difference in the total earnings between group A and group B?

(1) The total number of people in both groups is 100.
(2) The average earnings of the first group is $40,000


Let members in group A = P and average earning per member = Q. So total earnings of group A = P*Q.
Let members in group B = R. and average earning per member = (Q+10000). So total earnings of group B = R*(Q+10000)
We need the difference between these two total earnings.

(1) P + R = 100. But this will not give us values of P, R, Q or anything else that helps. Insufficient.

(2) Q = 40000. So total earnings of group A = P*40000 and total earnings of group B = R*(40000+10000) = R*50000. To know the difference we still need P&R. So Insufficient.

Combining, P + R = 100, but this will not help us in knowing the difference between P*40000 and R*50000. So Insufficient still.

Hence E answer
Re: The average (arithmetic mean) earnings of the members of group A is $1 &nbs [#permalink] 09 Jan 2018, 11:11
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