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?

Correct Answer: Rs.60

Step-by-step Explanation:

From the given bar graph, we can observe the following data for Article T:
- Discount percentage (blue bar) = 30%
- Profit/Loss percentage (orange bar) = -15% (which indicates a loss of 15%)

We are given that the selling price (SP) of article T is Rs. 238.

Step 1: Find the Marked Price (MP) of Article T

Discount is always calculated on the Marked Price.
$\text{Selling Price (SP)}=\text{Marked Price (MP)}\times (100-\text{Discount \%})/100$

Substituting the given values:
$238=\text{MP}\times \frac{100-30}{100}$

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

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

Step 2: Find the Cost Price (CP) of Article T

Since there is a loss of 15%, the selling price is 85% of the cost price.
$\text{Selling Price (SP)}=\text{Cost Price (CP)}\times (100-\text{Loss \%})/100$

Substituting the given values:
$238=\text{CP}\times \frac{100-15}{100}$

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

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

Step 3: Calculate the Difference Between Marked Price and Cost Price

$\text{Difference}=\text{Marked Price (MP)}-\text{Cost Price (CP)}$

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

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