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The average salary of 15 people in the shipping department

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The average salary of 15 people in the shipping department  [#permalink]

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New post Updated on: 24 Dec 2012, 18:10
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A
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Difficulty:

  15% (low)

Question Stats:

86% (02:09) correct 14% (02:11) wrong based on 212 sessions

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The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?

(A) $19,250
(B) $18,500
(C) $18,000
(D) $15,850
(E) $12,300

This is a relatively easy average problem, but the difficulty occurs with the choice of numbers. Is there a 30-sec approach to this?

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Originally posted by megafan on 24 Dec 2012, 16:07.
Last edited by megafan on 24 Dec 2012, 18:10, edited 1 time in total.
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Re: The average salary of 15 people in the shipping department  [#permalink]

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New post 28 Jun 2013, 12:09
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5 employees have earned 5000 more than the average
4 employees have earned 4000 less than the average

total difference amount from the average is = 5 * 5000 - 4 * 4000 = $9000 (more than average)

since 9 employees have earned 9000 more than average, this has to be compensated by the remaining 6 members to keep the average at $20000.

so each of the remaining 6 should earn 1500 less than the average, ==> $20000 - $1500 = $18500
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Re: The average salary of 15 people in the shipping department  [#permalink]

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New post 24 Dec 2012, 16:47
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total salary... 15*20k=300k
5 emp @ 25k =125k
4 emp @ 16k =64k
remaing 6 emp sal = 300k-125k-64k =111k
average=111k/6 = 18500
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Re: The average salary of 15 people in the shipping department  [#permalink]

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New post 28 Jun 2013, 00:12
Total Salary = 15 x 20000

15 x 20000 = 5 x 25000 + 4 x 16000 + 6 x i

6i = 11100
i = 18500 Answer =B
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Re: The average salary of 15 people in the shipping department  [#permalink]

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New post 21 Mar 2018, 16:06
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Hi All,

The Average Formula is one of a variety of standard formulas that the GMAT will expect you to know and use. Sometimes, Average Formula questions include lots of variables; in this question, we're given lots of numbers to work with and then we're asked to solve for one variable. Here's what it takes to answer the question:

We're told that the average salary of 15 people = $20,000

Sum/15 = $20,000

The Sum of the 15 people = 15($20,000) = $300,000

Then we're told the salary of 5 people = $25,000 each and the salary of 4 of the people = $16,000 each

5($25,000) = $125,000
4($16,000) = $64,000

Now we know that those 9 people account for a total of $189,000 of salary

The question asks for the average salary of the remaining employees.
We know that there are 6 employees remaining
We also know that the remaining money = $300,000 - $189,000 = $111,000

$111,000/6 = $18,500

Final Answer:

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Re: The average salary of 15 people in the shipping department  [#permalink]

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New post 23 Mar 2018, 11:42
megafan wrote:
The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?

(A) $19,250
(B) $18,500
(C) $18,000
(D) $15,850
(E) $12,300


The total salary of the 15 employees is 15 x 20,000 = 300,000.

The total salary of 5 of the employees is 5 x 25,000 = 125,000.

The total salary of another 4 of the employees is 4 x 16,000 = 64,000.

So, the total salary of the remaining 6 people is 300,000 - (125,000 + 64,000) = 111,000, so the average of the remaining employees is:

111,000/6 = 18,500

Answer: B
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Re: The average salary of 15 people in the shipping department  [#permalink]

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New post 24 Mar 2018, 07:47
megafan wrote:
The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?

(A) $19,250
(B) $18,500
(C) $18,000
(D) $15,850
(E) $12,300

This is a relatively easy average problem, but the difficulty occurs with the choice of numbers. Is there a 30-sec approach to this?


\(15*20000 = 5*25000 + 4*16000 + 6x\)

Or, \(300000 = 125000 + 64000 + 6x\)

Or, 111000 = 6x

Or, x = 18500 , Answer must be (B)
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Re: The average salary of 15 people in the shipping department  [#permalink]

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New post 15 Aug 2018, 19:41
Hi,
if we know the deviation technique, then such questions can be tackled quickly with min calculation.
Let us assume that the pay of each of remaining 6 employee is 20,000
Now since 4 employees get less than average and 5 get more than average . So 5*25000-4*16000= 9000.

Since the average of 15 employees remains 20,000 and there is the deviation of 9000. This is the amount then gets divided equally by 6 people so that the average remains 20,000.

20,0000- (9000/6)
18500.
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Re: The average salary of 15 people in the shipping department &nbs [#permalink] 15 Aug 2018, 19:41
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