Question

John is a salesman for a company. he earns a straight commission at a rate of 4 and 1/2% . last month his total says were $82,969. what is his gross monthly income for last month?

Answer 1

hello

his gross income was = $82,969

commission = 4 1/2% or 4.5%

since we have the gross income, we can use that data to find his actual salary for the month.

all we need to do is find 4.5% of 82969 and subtract the value from it

$\begin{gathered} 4.5\text{ \% of 82969} \\ \frac{4.5}{100}=\frac{x}{82969} \\ \text{cross multiply both sides and solve for x} \\ 100\times x=4.5\times82969 \\ 100x=373360.5 \\ \text{divide both sides by 100} \\ \frac{100x}{100}=\frac{373360.5}{100} \\ x=3733.605 \end{gathered}$

the commission pay was $3733.605

to find his actual salary, subtract 3733.605 from 82969

$\text{ income}=82969-3733.605=79235.395$

from the calculations above, his income for last month was $79235.395