Answer:
10.7%
Step-by-step explanation:
Since a dozen has 12 eggs, the total number of eggs Tony bought was:
[tex]\begin{aligned}\textsf{Total number of eggs purchased}&=15 \times 12\; \sf eggs\\&=180 \; \sf eggs\end{aligned}[/tex]
If 16 eggs were broken during loading and unloading, then the total number of remaining eggs was:
[tex]\begin{aligned}\textsf{Total number of eggs remaining}&=\textsf{Eggs purchased}-\textsf{Eggs broken}\\\\&=180-16\\\\&=164\; \sf eggs\end{aligned}[/tex]
If he sold the remaining eggs for $0.54 each, then his total revenue was:
[tex]\begin{aligned}\textsf{Total revenue}&=\textsf{Price per egg}\times \textsf{Remaining eggs}\\\\&=\$0.54 \times 164\\\\&= \$88.56\end{aligned}[/tex]
The profit is the revenue from selling the remaining eggs minus the total cost:
[tex]\begin{aligned}\textsf{Total profit}&=\textsf{Revenue}-\textsf{Total cost}\\\\&=\$88.56-\$80\\\\&= \$8.56\end{aligned}[/tex]
To calculate the percent profit, divide the total profit by the total cost and multiply by 100:
[tex]\begin{aligned}\textsf{Percent profit}&=\dfrac{\textsf{Total profit}}{\textsf{Total cost}}\\\\&=\dfrac{\$8.56}{\$80}\times 100\\\\&=0.107\times 100\\\\&=10.7\%\end{aligned}[/tex]
Therefore, Tony's percent profit is 10.7%.
Answer:
10.7%
Step-by-step explanation:
To find Tony's percent profit, we need to calculate the total cost, the total revenue, and then determine the percentage increase.
Total Cost:
Cost per dozen eggs = Total cost / Number of dozens
Cost per dozen eggs = $80 / 15 dozens
Cost per dozen eggs = $5.33 (rounded to two decimal places)
Total Revenue:
Number of eggs after 16 broken = 15 dozens × 12 eggs/dozen - 16 broken eggs
Number of eggs after 16 broken = 180 - 16
Number of eggs after 16 broken = 164 eggs
Revenue = Number of eggs Selling price per egg
Revenue = 164 × $0.54
Revenue = $88.56 (rounded to two decimal places)
Profit:
Profit = Revenue - Cost
Profit = $88.56 - $80
Profit = $8.56 (rounded to two decimal places)
Percent Profit:
Percent Profit = (Profit / Cost) × 100%
Percent Profit = ($8.56 / $80) × 100%
Percent Profit = 10.7%
Therefore, Tony's percent profit is approximately 10.7%.
