If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits?
a.
Employee A: gross pay $32,600 , total job benefits $33,600
b.
Employee B: gross pay $32,900 , total job benefits $34,000
c.
Employee C: gross pay $33,400 , total job benefits $33,900
d.
Employee D: gross pay $33,700 , total job benefits $34,700

[tex]\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.[/tex]

Employee A receives 3.07% of gross pay in employee benefits.

B.

gross pay $32,900 - 100%,
total job benefits $34,000 - x%.

Then

[tex]\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.[/tex]

Employee B receives 3.34% of gross pay in employee benefits.

C.

gross pay $33,400 - 100%,
total job benefits $33,900 - x%.

Then

[tex]\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.[/tex]

Employee C receives 1.50% of gross pay in employee benefits.

D.

gross pay $33,700 - 100%,
total job benefits $34,700 - x%.

Then

[tex]\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.[/tex]

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

onyebuchinnaji onyebuchinnaji · Answer 2 · 2022-02-02T13:04:27+01:00

The employee that received the largest percentage of the gross pay in employee benefits is employee B.

The percentage of the gross pay of employee A

[tex]\% G= \frac{33600 \times 100}{32,600} - \ 100\% = 3.067\%[/tex]

The percentage of the gross pay of employee B

[tex]\% G= \frac{34000 \times 100}{32,900} - \ 100\% = 3.344\%[/tex]

The percentage of the gross pay of employee C

[tex]\% G= \frac{33900 \times 100}{33,400} - \ 100\% = 1.497\%[/tex]

The percentage of the gross pay of employee D

[tex]\% G= \frac{34700 \times 100}{33,700} - \ 100\% = 2.967\%[/tex]

Thus, the employee that received the largest percentage of the gross pay in employee benefits is employee B.

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