When a shopkeeper sells item A for ₹ 384, then there is a loss of 20% and when he sells item B for ₹ 400, then there is a profit of 25%. What is the profit/loss percent, if he sells both items for a total of ₹ 852 ?

The correct option is Profit, 6.5%.

Let us step-by-step calculate the cost price of both items and determine the overall profit or loss percentage when selling them together.

Step 1: Calculate the Cost Price (CP) of Item A
Item A is sold for Selling Price (SP_A) = ₹ 384 at a loss of 20%.
Using the selling price formula for loss:
${\text{SP}}_{\text{A}}={\text{CP}}_{\text{A}}\times (1-\frac{\text{Loss \%}}{100})$

$384={\text{CP}}_{\text{A}}\times (1-\frac{20}{100})$

$384={\text{CP}}_{\text{A}}\times 0.8$

${\text{CP}}_{\text{A}}=\frac{384}{0.8}=\text{₹}480$

Step 2: Calculate the Cost Price (CP) of Item B
Item B is sold for Selling Price (SP_B) = ₹ 400 at a profit of 25%.
Using the selling price formula for profit:
${\text{SP}}_{\text{B}}={\text{CP}}_{\text{B}}\times (1+\frac{\text{Profit \%}}{100})$

$400={\text{CP}}_{\text{B}}\times (1+\frac{25}{100})$

$400={\text{CP}}_{\text{B}}\times 1.25$

${\text{CP}}_{\text{B}}=\frac{400}{1.25}=\text{₹}320$

Step 3: Calculate the Total Cost Price and Overall Selling Price
Total Cost Price (Total CP) = CP_A + CP_B
$\text{Total CP}=480+320=\text{₹}800$

Given total Selling Price (Total SP) = ₹ 852.

Step 4: Calculate the Profit Percentage
Since Total SP > Total CP, there is a profit.
$\text{Profit}=\text{Total SP}-\text{Total CP}=852-800=\text{₹}52$

Now, calculate the profit percentage:
$\text{Profit \%}=\left(\frac{\text{Profit}}{\text{Total CP}}\right)\times 100$

$\text{Profit \%}=\left(\frac{52}{800}\right)\times 100=\frac{52}{8}=6.5\text{\%}$

Thus, the overall outcome is a Profit of 6.5%.