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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

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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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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.

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