Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay. a. 4.9 b. 8.5 c. 14.6 d. 17.1

Verified Answer :

we know that

\(Total\ employment\ compensation=gross\ pay+employee\ benefits-job\ expenses\)

in this problem

\(Total\ employment\ compensation=33,500\ dollars\)

\(gross\ pay=28,600\ dollars\)

\(job\ expenses=0\)

Step \(1\)

Find the total employee benefits

Let

EC------> total employment compensation

EB--------> total employee benefits

GP------> gross pay

JE------> job expenses

\(EC=GP+EB-JE\)

\(33,500=28,600+EB-0\\ EB=33,500-28,600\\ EB=4,900\ dollars\)

Step \(2\)

Find the percentage of the total employee benefits

we know that

total employee benefits is equal to \(4,900\ dollars\)

gross pay is equal to \(28,600\ dollars\)

by proportion

\(\frac{28,600}{4,900} =\frac{100}{x} \\ \\ x*28,600=100*4,900\\ \\ x=\frac{100*4,900}{28,600}\)

\(x=17.1\)%

therefore

the answer is the option

d. 17.1


Answer:  

The correct option is D. 17.1%

Step-by-step explanation:

Total employment compensation = $33500

Amount of Job expenses = $0

Gross Pay of Trevor = $28600

Benefits of Trevor = 33500 - 28600

                              = $4900

Now, We need to find Percentage of his total benefits

\(\implies\text{Percentage of his total benefits = }\frac{4900}{28600}\times 100\\\\ = 0.171\times 100\\\\=17.1\%\)

Therefore, Trevor's total employee benefits are 17.1% of his gross pay

Hence, The correct option is D. 17.1%