Question

A local salesman receives a base salary of $1000 monthly. He also receives a commission of 9% on all sales over $1800. How much would he have to sell in a month if he needed to have a monthly income of $2000?

He would need to sell $ _____ to reach his needed monthly income needs. (Round answer to the nearest penny. Do not use commas!)

Answer 1

$11111.11

Explanation:

His salary is computed as ...

... 1000 + 0.09·sales

He wants this to be 2000, so we can write ...

... 2000 = 1000 + 0.09·sales

... 1000 = 0.09·sales . . . . . . . . . subtract 1000

... 1000/0.09 = sales . . . . . . . . . divide by the coefficient of sales

... 11,111.11 = sales