Dowqueuestbew1j

2021-12-20

A local salesman receives a base salary of $700 monthly. If his total sales receipts for the month exceed$1900, he also receives a commission of 9% on the portion of sales over $1900. How much would he have to sell in a month if he wants to have a monthly income of$2800?

Lakisha Archer

Expert

Given
Base salary of a salesman $=\mathrm{}700$ monthly
He receives a commission of 9% on the portion of sales over $1900. Let the total sales $=x$ Commission His monthly income if his total sales receipt exceeds$1900 is given by
$700+\left(x-1900\right)9\mathrm{%}$
If he wants his monthly income \$2800 then
$700+\left(x-1900\right)9\mathrm{%}=2800$
$700+\left(x-1900\right)\frac{9}{100}=2800$
$\frac{70000+\left(x-1900\right)9}{100}=2800$
$7000+\left(x-1900\right)9=280000$
$7000+9x-17100=280000$
$9x=280000+17100-70000$
$9x=227100$
$x=\frac{227100}{9}$
$x=25233.33$

Kirsten Davis

Expert

$2000=700+\left(\frac{6}{100}\right)\cdot \left(S-1950\right)$
$1300=\left(\frac{6}{100}\right)\cdot \left(S-1950\right)$
$S-1950=\frac{130000}{6}$
$S=1950+\frac{130000}{6}$
$S=1950+21666.67$
$S=23616.67$

nick1337

Expert