Question

Question #09159

Answer 1

His sales in each company must be `=$6500`

Explanation:

Let his sales is `$.x` in a week

First Company

His commission is `=5%`
His absolute commission is `=x xx 5/100=(5x)/100`
His earning from first company is `=(5x)/100`

Second company

His salary is `=$260`
His Commission is `=1%`
His absolute commission is `=x xx 1/100=x/100`
His total earnings from company 2 is `=260+x/100`

His total earnings from both the companies are the same.
Then -

`(5x)/100=x/100+260`

Solve for `x`

Multiply both sides with `100`

`((5x)/100)xx100=(x/100+260) xx100`
`(5x)/cancel(100)xx cancel(100)=(x/cancel(100)xxcancel(100))+(260xx100)`
`5x=x+26000`

Add `-x`to both sides

`5x-x=cancel(x)cancel(-x)+26000`
`4x=26000`

Multiply both sides with `1/4`

`cancel(4)x xx1/cancel(4)=26000xx1/4=6500`

His sales in each company must be `=$6500`