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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
45% (01:53) correct
55%
(01:41)
wrong
based on 213
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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
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) The total number of people in both groups is 100.
(2) The average earnings of the first group is $40,000
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
14 Aug 2025, 20:14
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Let Average of group A be A
Group B then will be A+10000
We need to find the difference in their total earnings :
1. The total people no. of people is 100 :
Ax+Bx=100
So total earning of group A is A*Ax
and for B is it (A+10,000)*100-Ax
difference will be (A+10000)*(100-Ax)-A*Ax
100A+1000000-A*Ax-Ax*10000-A*Ax not sufficient to find the difference (NS)
Option 2:
Average of group A is 40000
Group B then will be 50000
But we don't know anything about the number of people in this groups , So not Sufficient alone (NS)
Now both together ,
Lets use the equation we had derived in option 1:
100A+1000000-A*Ax-Ax(10000)-A*Ax
Now we know the value of A as 40000 but still we can't say anything about Ax so it is not sufficient to find out the absolute value. Hence IMO option E
Group B then will be A+10000
We need to find the difference in their total earnings :
1. The total people no. of people is 100 :
Ax+Bx=100
So total earning of group A is A*Ax
and for B is it (A+10,000)*100-Ax
difference will be (A+10000)*(100-Ax)-A*Ax
100A+1000000-A*Ax-Ax*10000-A*Ax not sufficient to find the difference (NS)
Option 2:
Average of group A is 40000
Group B then will be 50000
But we don't know anything about the number of people in this groups , So not Sufficient alone (NS)
Now both together ,
Lets use the equation we had derived in option 1:
100A+1000000-A*Ax-Ax(10000)-A*Ax
Now we know the value of A as 40000 but still we can't say anything about Ax so it is not sufficient to find out the absolute value. Hence IMO option E
Bunuel
29 Aug 2025, 14:39
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Why not A?
Mean A x 100 - Mean B x100 is the ask. Right?
Mean A x 100 - Mean B x100 is the ask. Right?
