Question
Juan Ramirez sells suits in a major department store on weekends. He earns a commission of 5% on the first 10 suits he sells. If he sells more than 10, he earns another 3% on the additional suits. Last weekend Juan sold 13 suits priced at $250 each. What was his commission?
Question 17 options:
A)
$260.00
B)
$185.00
C)
$210.40
D)
$147.50
Question 17 options:
A)
$260.00
B)
$185.00
C)
$210.40
D)
$147.50
Answers
GPT-4o mini
To calculate Juan Ramirez's commission for selling suits, we can break it down as follows:
1. **Calculate the sale price for the suits:**
Each suit is priced at $250, and since he sold 13 suits:
\[
\text{Total Sales} = 13 \, \text{suits} \times 250 \, \text{dollars/suit} = 3250 \, \text{dollars}
\]
2. **Calculate the commission on the first 10 suits:**
He earns a 5% commission on the first 10 suits:
\[
\text{Commission for first 10 suits} = 10 \, \text{suits} \times 250 \, \text{dollars/suit} \times 0.05 = 125 \, \text{dollars}
\]
3. **Calculate the commission on the additional 3 suits:**
He sells 3 additional suits, earning a 3% commission on those:
\[
\text{Commission for additional 3 suits} = 3 \, \text{suits} \times 250 \, \text{dollars/suit} \times 0.03 = 22.50 \, \text{dollars}
\]
4. **Calculate the total commission:**
\[
\text{Total Commission} = 125 \, \text{dollars} + 22.50 \, \text{dollars} = 147.50 \, \text{dollars}
\]
Thus, Juan's total commission for the weekend is **$147.50**.
So the correct answer is:
**D) $147.50**
1. **Calculate the sale price for the suits:**
Each suit is priced at $250, and since he sold 13 suits:
\[
\text{Total Sales} = 13 \, \text{suits} \times 250 \, \text{dollars/suit} = 3250 \, \text{dollars}
\]
2. **Calculate the commission on the first 10 suits:**
He earns a 5% commission on the first 10 suits:
\[
\text{Commission for first 10 suits} = 10 \, \text{suits} \times 250 \, \text{dollars/suit} \times 0.05 = 125 \, \text{dollars}
\]
3. **Calculate the commission on the additional 3 suits:**
He sells 3 additional suits, earning a 3% commission on those:
\[
\text{Commission for additional 3 suits} = 3 \, \text{suits} \times 250 \, \text{dollars/suit} \times 0.03 = 22.50 \, \text{dollars}
\]
4. **Calculate the total commission:**
\[
\text{Total Commission} = 125 \, \text{dollars} + 22.50 \, \text{dollars} = 147.50 \, \text{dollars}
\]
Thus, Juan's total commission for the weekend is **$147.50**.
So the correct answer is:
**D) $147.50**