Question

Dora sells appliances. She is paid a commission of 6.83% of her first 1300 in sales during the week and 14% on all sales over 1300. What is her commission in a week during which she sells 2717.18 worth of appliances? Express your answer as a dollar amount and round to the nearest cent

Answer 1

Given:

Dora sells appliances.

She is paid a commission of 6.83% of her first 1300 in sales during the week and 14% on all sales over 1300.

We will find the commission when she sells 2717.18 worth of appliances

so, we will divide her earning into two parts:

From 0 to 1300, then the amount over 1300 to 2717.18

So,

`2717.18=1300+1417.18`

The first $1300, the commission is 6.83%

And the amount of $1417.18 the commission is 14%

So, her total commission will be =

`\begin{gathered} 6.83\%*1300+14\%*1417.18 \\ =(6.83)/(100)*1300+(14)/(100)*1417.18 \\ =88.79+198.4052 \\ =287.1952 \end{gathered}`

Rounding the answer to the nearest cent

So, the answer will be Her commission = $287.20