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.

Find the cost price of the article S, if marked price of the article is Rs.350?

The correct option is Rs.200.

From the given bar graph, we can extract the values for article S:
- Discount Percentage (represented by the blue bar for article S) = 20%
- Profit Percentage (represented by the orange bar for article S) = 40%

We are given:
Marked Price (MP) of article S = Rs.350

Step 1: Calculate the Selling Price (SP) of article S
The discount is calculated on the marked price.

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

Substituting the values for article S:
$\text{SP}=350\times \left(1-\frac{20}{100}\right)$
$\text{SP}=350\times 0.80=\text{Rs.280}$

Step 2: Calculate the Cost Price (CP) of article S
The profit percentage is 40%, which is earned on the Cost Price (CP).

$\text{Selling Price (SP)}=\text{Cost Price (CP)}\times \left(1+\frac{\text{Profit \%}}{100}\right)$

Substituting the values:
$280=\text{CP}\times \left(1+\frac{40}{100}\right)$
$280=\text{CP}\times 1.40$
$\text{CP}=\frac{280}{1.40}=\text{Rs.200}$

Thus, the cost price of article S is Rs.200.