Question

the gross profits for january at tower center for the five departments were:
appliance department: $35,000
automotive department: $10,000
clothing department: $95,000
grocery department: $210,000
nursery department: $30,000.
change each of the profit amounts to the nearest tenth of a percent.
appliance department: %
automotive department: %
clothing department: %
grocery department: %
nursery department: %

Explanation:

Step1: Calculate Total Profit

First, find the total gross profit by adding all department profits:
\( 35000 + 10000 + 95000 + 210000 + 30000 = 380000 \)

Step2: Appliance Department %

Divide Appliance profit by total, multiply by 100:
\( \frac{35000}{380000} \times 100 \approx 9.2105\% \), round to tenth: \( 9.2\% \)

Step3: Automotive Department %

Divide Automotive profit by total, multiply by 100:
\( \frac{10000}{380000} \times 100 \approx 2.6316\% \), round to tenth: \( 2.6\% \)

Step4: Clothing Department %

Divide Clothing profit by total, multiply by 100:
\( \frac{95000}{380000} \times 100 = 25.0\% \) (exact, so \( 25.0\% \))

Step5: Grocery Department %

Divide Grocery profit by total, multiply by 100:
\( \frac{210000}{380000} \times 100 \approx 55.2632\% \), round to tenth: \( 55.3\% \)

Step6: Nursery Department %

Divide Nursery profit by total, multiply by 100:
\( \frac{30000}{380000} \times 100 \approx 7.8947\% \), round to tenth: \( 7.9\% \)

Answer:

Appliance Department: \( 9.2\% \)
Automotive Department: \( 2.6\% \)
Clothing Department: \( 25.0\% \)
Grocery Department: \( 55.3\% \)
Nursery Department: \( 7.9\% \)