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The sum of the weekly salaries of 5 employees is $3,250. If each of th [#permalink]

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17 Jun 2017, 11:00

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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

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

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17 Jun 2017, 11:08

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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

Average = Sum / Total number

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

Each of the 5 salaries increases by 10%, then the average will also increase by 10%.

Therefore, 10% of 650 = \(\frac{10}{100}* 650 = $65\)

Average weekly salary per employee will increase by \(= $65.00\). Answer (E)...

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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

To make things easier, let's say that all 5 employees have the SAME weekly salary.

The sum of the weekly salaries of 5 employees is $3,250 $3250/5 = $650 So, each employee earns $650/month

If each of the 5 salaries is to increase by 10 percent... 10% of $650 = $65 So, each employee's weekly salary will increase by $65

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

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07 Aug 2017, 10:52

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

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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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...