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 the selling price of article T is Rs.238, then find the difference between marked price and cost price of article T?

The correct option is Rs.60.

Below is the given bar graph representing the discount percentage and profit/loss percentage for 5 articles:

From the bar graph, for article T, we can observe the following data points:

• Discount percentage (blue bar) = 30%
• Profit/Loss percentage (orange bar) = -15% (which indicates a loss of 15%)

Given in the problem: Selling Price (SP) of article T = Rs. 238.

Step 1: Calculate the Marked Price (MP) of article T

The formula connecting Selling Price, Marked Price, and Discount percentage is:

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

Substitute the known values into the equation:

$238=\text{MP}\times \left(\frac{100-30}{100}\right)$

$238=\text{MP}\times \frac{70}{100}$

Solving for MP:

$\text{MP}=\frac{238\times 100}{70}=\text{Rs. 340}$

Step 2: Calculate the Cost Price (CP) of article T

The formula connecting Selling Price, Cost Price, and Loss percentage is:

$\text{Selling Price (SP)}=\text{Cost Price (CP)}\times \left(\frac{100-\text{Loss \%}}{100}\right)$

Substitute the known values into the equation:

$238=\text{CP}\times \left(\frac{100-15}{100}\right)$

$238=\text{CP}\times \frac{85}{100}$

Solving for CP:

$\text{CP}=\frac{238\times 100}{85}=\text{Rs. 280}$

Step 3: Calculate the difference between Marked Price and Cost Price

$\text{Difference}=\text{MP}-\text{CP}$

$\text{Difference}=340-280=\text{Rs. 60}$

Therefore, the difference between the marked price and cost price of article T is Rs.60.