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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
AbdurRakib wrote:
The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00


\(\frac{Sum}{Total Number}\) = Average
=> Average = \(\frac{3250}{5}\) = 650

10% of 650 = 65

E is the answer
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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
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AbdurRakib wrote:
The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00


The original average salary is 3,250/5 = 650.

If each of the 5 salaries will increase by 10%, the new sum of the salaries will also increase by 10%. Thus, the new sum is:

0.1 x 3,250 + 3,250 = 325 + 3,250 = 3,575

Thus, the new average salary is 3575/5 = 715 and each salary increases by 715 - 650 = $65.

Alternate Solution:

If each of the salaries is increased by 10%, then the average salary will increase by 10% as well. The original average salary is 3,250/5 = 650. Thus, a 10% salary increase is 650 x 0.10 = 65 per person.

Answer: E
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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
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Hi All,

We're told that the SUM of the weekly salaries of 5 employees is $3,250 and that each of the 5 salaries is to increase by 10 percent. We're asked for the AVERAGE increase in weekly salary per employee.

This question ultimately comes down to working through some arithmetic, but there are a couple of different ways to do that math (and some require fewer 'steps' than others).

Since the TOTAL of the salaries is $3,250, a 10% increase in those salaries would be $325. That increase, when averaged across the 5 employees, would be...

$325/5 = $65

Final Answer:

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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
AbdurRakib wrote:
The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00


10% of 3250 is 325.
325 needs to be divided by 5 employees: 325/5 =65.
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The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
AbdurRakib wrote:
The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00



The average salary is 3250 divided by 5, which is 650.
and the average increases by 10 percent, and that means that it's an increase by $65.

That's it; the correct answer choice is E.
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The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
Expert Reply
Given

• The sum of the weekly salaries of 5 employees is $3,250.
• Each of the 5 salaries is to increase by 10 percent


To Find

    • Increase in the average (arithmetic mean) weekly salary per employee.

Approach and Working Out


    • Total salary = $3,250.
    • Total increase = 10% of $3,250.
      o = $3,25.

    • Average increase = $3,25/5
      o = $65

Correct Answer: Option E
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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
Expert Reply
Sum: $3,250
Total: 5

Average: \(\frac{Sum }{ Total }\)

=> Average = \(\frac{3250 }{ 5}\) = 650

10 % increase on 650:

=> \(\frac{110 }{100}\) * 650 = 715

Increase: 715 - 650 = $65

Answer E
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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
Expert Reply
AbdurRakib wrote:
The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00


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Answer: Option E

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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
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Video solution from Quant Reasoning:
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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
Expert Reply
AbdurRakib wrote:
The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

A. $52.50
B. $55.00
C. $57.50
D. $62.50
E. $65.00


The salaries increased by $325. Allocating that over five employees means an average of $65 each.

Answer choice E.
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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
To find the increase in the average weekly salary per employee, we first need to calculate the current average weekly salary per employee.

The sum of the weekly salaries of 5 employees is given as $3,250.

The current average weekly salary per employee is calculated by dividing the total sum by the number of employees:

Current average weekly salary per employee = $3,250 / 5 = $650.

Now, if each of the 5 salaries increases by 10 percent, we can calculate the new average weekly salary per employee.

Each salary will increase by 10 percent, which is equivalent to multiplying it by 1.10.

New average weekly salary per employee = $650 * 1.10 = $715.

The increase in the average weekly salary per employee is the difference between the new and current average salaries:

Increase = $715 - $650 = $65.

Therefore, the average weekly salary per employee will increase by $65
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Re: The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]
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