A local salesman receives a base salary of $675 monthly. If his total sales receipts for the month exceed $1950, he also receives a commission of 9% on the portion of sales over $1950. How much would he have to sell in a month if he wants to have a monthly income of $2400?

The $21,122 would he have to sell in a month if he wants to have a monthly income of $2400

Explanation:

In this question we assume the value which is shown below

Let us assume the amount which is sell be X

So, the equation would be

Commission * (Sale amount - sales amount) + Base salary = Monthly income

0.09 * (X - $1,950) + $675 = $2,400

0.09X - $176 + $675 = $2,400

0.09X = $2,400 + $176 - $675

0.09X = $1,901

So, X = $21,122.22

X = Sale amount = $21,122.22