The average salary of 15 people in the shipping department

Total Salary = 15 x 20000

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

6i = 11100
i = 18500 Answer =B

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:

GMAT assassins aren't born, they're made,
Rich

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

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

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

Or, 111000 = 6x

Or, x = 18500 , Answer must be (B)

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.

]The average salary of 15 people in the shipping department at a certain firm is $20,000
So, (sum of all 15 salaries)/15 = $20,000
Multiply both sides by 15 to get: sum of all 15 salaries = $300,000

The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each
5 x $25,000 = $125,000
4 x $16,000 = $64,000
$125,000 + $64,000 = $189,000

So, the 9 people accounted for here have a combined salary of $189,000

What is the average salary of the remaining employees?
sum of all 15 salaries = $300,000
sum of 9 of the salaries = $189,000

$300,000 - $189,000 = $111,000
So, the remaining 6 people must have a combined salary of $111,000

Average salary of 6 people = $111,000/6 = $18,500

Answer: B

Cheers,
Brent

Check this post for how to handle averages using deviation:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2012/05 ... eviations/

Avg of 15 people is 20k.

5 people have salary of 25k i.e. 5k extra from avg. So we have an excess of 5 * 5k = 25k
4 people have salary of 16k i.e. 4k less than avg. So we have a deficit of 4 * 4k = 16k

Overall we have an excess of 25k - 16k = 9k

The remaining 6 people need to create a deficit of 9k so they should have an average salary of 9k/6 = 1.5k less than average.
Hence the salary of the other 6 people should be 20k - 1.5k = $18,500

To find the average salary of the remaining employees, we need to subtract the salaries of the 5 employees earning $25,000 each and the salaries of the 4 employees earning $16,000 each from the total average salary of $20,000.

Total salary of the 5 employees earning $25,000 each: 5 * $25,000 = $125,000
Total salary of the 4 employees earning $16,000 each: 4 * $16,000 = $64,000

Total salary of all 15 employees: $20,000 * 15 = $300,000

Total salary of the remaining employees: $300,000 - $125,000 - $64,000 = $111,000

To find the average salary of the remaining employees, we divide the total salary of the remaining employees by the number of remaining employees: $111,000 / (15 - 5 - 4) = $111,000 / 6 = $18,500

Therefore, the average salary of the remaining employees is $18,500.