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 answer is Rs.200.


Step 1: Extract data for Article S from the given bar graph
By inspecting the given bar graph for article S:
• Discount percentage (blue bar) = 20%
• Profit percentage (orange bar) = 40%
• Marked Price (MP) of article S = Rs. 350

Step 2: Calculate the Selling Price (SP) of article S
The formula relating Selling Price, Marked Price, and Discount Percentage is:

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

Substituting the values into the formula:

$\text{SP}=350\times \left(1-\frac{20}{100}\right)$

$\text{SP}=350\times \left(1-0.2\right)$

$\text{SP}=350\times 0.8=\text{Rs. 280}$

Step 3: Calculate the Cost Price (CP) of article S
The formula relating Selling Price, Cost Price, and Profit Percentage is:

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

Substituting SP = Rs. 280 and Profit % = 40%:

$280=\text{CP}\times \left(1+\frac{40}{100}\right)$

$280=\text{CP}\times 1.4$

Solving for Cost Price (CP):

$\text{CP}=\frac{280}{1.4}=\text{Rs. 200}$

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