Question
A car salesperson had $84,784 in total monthly sales for April and $107,270 in May. The salesperson earned $4,865 in total commission from those sales combined.
What is the salesperson's commission as a percent of the total monthly sales?
Enter your answer, rounded to the nearest tenth of a percent, in the box.
%
What is the salesperson's commission as a percent of the total monthly sales?
Enter your answer, rounded to the nearest tenth of a percent, in the box.
%
Answers
GPT-4o mini
To find the salesperson's commission as a percent of the total monthly sales, we first need to calculate the combined total sales for both months, April and May.
1. **Calculate the total sales**:
\[
\text{Total sales} = \text{April sales} + \text{May sales} = 84,784 + 107,270 = 192,054
\]
2. **Calculate the commission as a percentage of total sales**:
The formula to calculate the percentage is:
\[
\text{Percentage} = \left( \frac{\text{Commission}}{\text{Total sales}} \right) \times 100
\]
Substituting in the values we have:
\[
\text{Percentage} = \left( \frac{4,865}{192,054} \right) \times 100
\]
3. **Calculating the fraction**:
\[
\frac{4,865}{192,054} \approx 0.0253
\]
4. **Converting to percentage**:
\[
0.0253 \times 100 \approx 2.53
\]
5. **Rounding to the nearest tenth of a percent**:
The rounded value is \(2.5\%\).
Thus, the salesperson's commission as a percent of total monthly sales is:
\[
\boxed{2.5}
\]
1. **Calculate the total sales**:
\[
\text{Total sales} = \text{April sales} + \text{May sales} = 84,784 + 107,270 = 192,054
\]
2. **Calculate the commission as a percentage of total sales**:
The formula to calculate the percentage is:
\[
\text{Percentage} = \left( \frac{\text{Commission}}{\text{Total sales}} \right) \times 100
\]
Substituting in the values we have:
\[
\text{Percentage} = \left( \frac{4,865}{192,054} \right) \times 100
\]
3. **Calculating the fraction**:
\[
\frac{4,865}{192,054} \approx 0.0253
\]
4. **Converting to percentage**:
\[
0.0253 \times 100 \approx 2.53
\]
5. **Rounding to the nearest tenth of a percent**:
The rounded value is \(2.5\%\).
Thus, the salesperson's commission as a percent of total monthly sales is:
\[
\boxed{2.5}
\]