   SEARCH HOME Math Central Quandaries & Queries  Question from Herschel: Fire Fighting Equipment pays salespeople as follows: $452 per week plus a commission of .9% on sales between$15,000 and $25000, with 1.1% paid on sales in excess of$25,000. Find the gross earnings for an salesperson whose Total Sales are $28,400. (No commission is paid on the first$15,000 of sales) Hi,

The sales peoples' weekly gross earnings comes in three categories.

1. A base salary of $\$452.$2. A commission of 0.9% on sales between$\$15,000$ and $\$25,000.$3. A commission of 1.1% on sales over$\$25,000.$

This salesperson had total sales of $\$28,400$which is more than$\$25,000$ so will receive payment in each of the 3 categories. The gross earnings will be the sum of the following.

1. $\$452.$2. The amount of sales between$\$15,000$ and $\$25,000$is$\$10,000$ hence the commission in this category is 0.9% of $\$10,000.$3.$\$28,400 - \$25,000 = \$3,400$ and hence the commission in this category is 1.1% of $\$3,400.\$

I hope this helps,
Penny     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.