Question
UNIT 4 - PRACTICETEST 12. There was an \( 180 \% \) mark-up on shirts for which the wholesale cost was \( \$ 3.25 \) per shirt. What will ritty's charge customers for the shirt? a. Convert the percent to decimal. b. How much profit (mark-up) will Tilly's make? c. What will Tilly's charge customers (retail price) for the shirt after the mark up?
Ask by Cervantes Mathis. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Tilly's will charge customers \$9.10 per shirt after a 180% mark-up on the wholesale cost of \$3.25.
Solution
Sure, let's work through each part of the problem step-by-step.
---
### **Given:**
- **Wholesale cost per shirt:** \$3.25
- **Mark-up percentage:** 180%
### **a. Convert the percent to decimal.**
To convert a percentage to a decimal, divide the percentage by 100.
\[
180\% = \frac{180}{100} = 1.80
\]
**Answer:** The decimal form of 180% is **1.80**.
---
### **b. How much profit (mark-up) will Tilly's make?**
The mark-up amount is calculated by multiplying the wholesale cost by the mark-up decimal.
\[
\text{Mark-up} = \text{Wholesale Cost} \times \text{Mark-up Decimal} = \$3.25 \times 1.80
\]
\[
\text{Mark-up} = \$3.25 \times 1.80 = \$5.85
\]
**Answer:** Tilly's will make a profit (mark-up) of **\$5.85** per shirt.
---
### **c. What will Tilly's charge customers (retail price) for the shirt after the mark-up?**
The retail price is the sum of the wholesale cost and the mark-up.
\[
\text{Retail Price} = \text{Wholesale Cost} + \text{Mark-up} = \$3.25 + \$5.85
\]
\[
\text{Retail Price} = \$3.25 + \$5.85 = \$9.10
\]
**Answer:** Tilly's will charge customers **\$9.10** per shirt.
---
### **Summary:**
a. **1.80**
b. **\$5.85**
c. **\$9.10**
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Bonus Knowledge
To convert the percent to decimal, you divide by 100. So, \( 180\% \div 100 = 1.8 \). Tilly's will then add this decimal as a mark-up to the wholesale price. The profit (mark-up) can be calculated by multiplying the wholesale cost by the decimal mark-up: \( 3.25 \times 1.8 = 5.85 \). This means Tilly's will make a profit of \( \$5.85 \) on each shirt sold. Now, to find the retail price that Tilly's will charge customers, simply add the mark-up to the wholesale cost: \( 3.25 + 5.85 = 9.10 \). Therefore, Tilly's will charge customers \( \$9.10 \) for each shirt.