The bar graph given below shows the discount percentage given and profit/loss percentage earned by shopkeeper on 5 different articles (P , Q, R, S and T) .

Note: negative sign shows the loss percentage.

If marked price of article P and S is same, then selling price of article P is what percentage more or less than selling price of article S?

The correct answer is 25%.


Step-by-step Explanation:

Step 1: Extract data from the given bar graph
From the bar chart showing discount percentage (blue bar) and profit/loss percentage (orange bar) for different articles:
- For article P: Discount percentage = 40%
- For article S: Discount percentage = 20%

Step 2: Define Marked Price (MP)
Let the Marked Price of article P be equal to the Marked Price of article S.
Let Marked Price of article P = Marked Price of article S = 100 units.

Step 3: Calculate the Selling Price (SP) of Article P
Selling price is calculated using the formula:

$\text{Selling Price}=\text{Marked Price}\times \left(1-\frac{\text{Discount \%}}{100}\right)$

${\text{SP}}_{\text{P}}=100\times \left(1-\frac{40}{100}\right)=100\times 0.60=60\text{units}$

Step 4: Calculate the Selling Price (SP) of Article S
For article S:

${\text{SP}}_{\text{S}}=100\times \left(1-\frac{20}{100}\right)=100\times 0.80=80\text{units}$

Step 5: Determine the percentage difference
Selling price of article P (60 units) is less than selling price of article S (80 units).
Difference in Selling Price:

${\text{SP}}_{\text{S}}-{\text{SP}}_{\text{P}}=80-60=20\text{units}$

$\text{Percentage Less}=\left(\frac{{\text{SP}}_{\text{S}}-{\text{SP}}_{\text{P}}}{{\text{SP}}_{\text{S}}}\right)\times 100$

$\text{Percentage Less}=\left(\frac{20}{80}\right)\times 100=\frac{1}{4}\times 100=25\%$

Thus, the selling price of article P is 25% less than the selling price of article S.