Question

commision rate= 5% salary= $30 a day weekly sales total= what needs to be found weekly TOTAL=1550

Answer 1

To find the weekly sales total needed to achieve a weekly total of $1550 with a commission rate of 5% and a salary of $30 per day, we can set up the following equation.

First, let's determine the weekly salary:

\[
\text{Weekly Salary} = \text{Daily Salary} \times \text{Days Worked Per Week}
\]

Assuming the person works 7 days a week:

\[
\text{Weekly Salary} = 30 \, \text{USD} \times 7 = 210 \, \text{USD}
\]

Next, we can determine the amount that needs to come from commissions. The total income (weekly total) is the sum of the salary and the commissions:

\[
\text{Weekly Total} = \text{Weekly Salary} + \text{Commission}
\]

Given that the weekly total is $1550, we can calculate the commission:

\[
\text{Commission} = \text{Weekly Total} - \text{Weekly Salary}
\]

\[
\text{Commission} = 1550 - 210 = 1340 \, \text{USD}
\]

Since the commission is 5% of the weekly sales total, we can express the commission as:

\[
\text{Commission} = 0.05 \times \text{Weekly Sales Total}
\]

Setting this equal to the commission we calculated:

\[
0.05 \times \text{Weekly Sales Total} = 1340
\]

Now, solve for the weekly sales total:

\[
\text{Weekly Sales Total} = \frac{1340}{0.05} = 26800 \, \text{USD}
\]

Therefore, the weekly sales total needed is **$26,800**.