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?

Correct Answer: 25%

Step-by-Step Explanation:

From the given bar graph, we can observe the following discount percentages for articles P and S:

• Discount percentage on Article P: 40% (represented by the blue bar for P)
• Discount percentage on Article S: 20% (represented by the blue bar for S)

Step 1: Assume a common Marked Price (MP)

It is given that the marked price of article P and article S is the same.
Let the Marked Price (MP) of both article P and article S be Rs. 100.

Step 2: Calculate the Selling Price (SP) of each article

The formula for Selling Price is given by:

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

For Article P:

${\text{SP}}_{\text{P}}=100\times (1-\frac{40}{100})=100\times 0.60=\text{Rs. 60}$

For Article S:

${\text{SP}}_{\text{S}}=100\times (1-\frac{20}{100})=100\times 0.80=\text{Rs. 80}$

Step 3: Calculate the percentage difference

We need to find by what percentage the selling price of article P is less than the selling price of article S.

Difference in selling prices = ${\text{SP}}_{\text{S}}-{\text{SP}}_{\text{P}}=80-60=20$

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

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

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