Question

he earns a 3% commission on any amount over 20,000
if he earned 35,000 in sales what amount of commission in dollars he earn
dan earned 1,900 in commission last month how much money he earned in dollars did he have in sales last month

Answer 1

To find the commission Dan earned based on his sales, we can follow these steps:

1. **Calculate Dan's commission** on the sales over $20,000.
- Since the commission is only applied to the amount over $20,000, we first determine how much of his sales qualifies for the commission:
\[
\text{Sales over } 20,000 = 35,000 - 20,000 = 15,000
\]
- Now calculate the commission on that amount (3% of $15,000):
\[
\text{Commission} = 0.03 \times 15,000 = 450
\]

So, Dan earned **$450** in commission from $35,000 in sales.

2. **Determine last month's sales** based on the commission earned.
- If Dan earned $1,900 in commission, we first acknowledge that this amount was earned from the sales over $20,000:
- Let \( S \) be the total sales last month. The commission is applied on \( S - 20,000 \):
\[
1,900 = 0.03 \times (S - 20,000)
\]
- Rearranging the equation to find \( S \):
\[
S - 20,000 = \frac{1,900}{0.03}
\]
\[
S - 20,000 = 63,333.33
\]
\[
S = 63,333.33 + 20,000 = 83,333.33
\]

So, Dan had approximately **$83,333.33** in sales last month.