A logistics manager purchases 50 packages of USB flash drives for $500 per package. They resell 30 packages at a profit of 15% and the remaining packages at a loss of 5%. What is the overall percentage profit or loss on the complete transaction?

The correct option is 7% Profit.

Step 1: Calculate the total Cost Price (CP) of all packages.

The logistics manager purchases 50 packages at $500 per package.

$\text{Total CP}=50\times \$500=\$\mathrm{25,000}$

Step 2: Calculate the profit from reselling 30 packages.

The cost price of 30 packages is:

$\text{CP of 30 packages}=30\times \$500=\$\mathrm{15,000}$

Since these 30 packages are resold at a profit of 15%, the profit earned is:

$\text{Profit}=15\%\text{of}\$\mathrm{15,000}=\frac{15}{100}\times \mathrm{15,000}=\$\mathrm{2,250}$

Step 3: Calculate the loss from reselling the remaining packages.

The number of remaining packages is:

$50-30=20\text{packages}$

The cost price of 20 packages is:

$\text{CP of 20 packages}=20\times \$500=\$\mathrm{10,000}$

Since these 20 packages are resold at a loss of 5%, the loss incurred is:

$\text{Loss}=5\%\text{of}\$\mathrm{10,000}=\frac{5}{100}\times \mathrm{10,000}=\$500$

Step 4: Calculate the net profit on the transaction.

Subtracting total loss from total profit gives:

$\text{Net Profit}=\text{Total Profit}-\text{Total Loss}$

$\text{Net Profit}=\$\mathrm{2,250}-\$500=\$\mathrm{1,750}$

Step 5: Calculate the overall percentage profit.

The overall profit percentage on the complete transaction is calculated as:

$\text{Overall Profit \%}=\left(\frac{\text{Net Profit}}{\text{Total CP}}\right)\times 100$

$\text{Overall Profit \%}=\left(\frac{1750}{25000}\right)\times 100=7\%$

Thus, the overall percentage profit on the complete transaction is 7% Profit.