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 cost price of article P is 20% more than cost price of article Q, then find the marked price of article P is what percentage of marked price of article Q?

The correct option is 132%.

From the given bar graph, the values for articles P and Q are as follows:
For article P: Discount percentage = 40%, Profit percentage = 10%
For article Q: Discount percentage = 25%, Profit percentage = 25%


Step 1: Assume the Cost Price (CP) for Article Q and calculate CP for Article P.

Let the cost price of article Q (${\text{CP}}_{\text{Q}}$) = 100

Given that the cost price of article P is 20% more than the cost price of article Q:
${\text{CP}}_{\text{P}}=100+20\%\text{of}100=120$

Step 2: Find the Selling Price (SP) and Marked Price (MP) of Article P.

Profit percentage on article P = 10%
${\text{SP}}_{\text{P}}={\text{CP}}_{\text{P}}\times \left(1+\frac{10}{100}\right)=120\times 1.10=132$

Discount percentage on article P = 40%
${\text{SP}}_{\text{P}}={\text{MP}}_{\text{P}}\times \left(1-\frac{40}{100}\right)$

$132={\text{MP}}_{\text{P}}\times 0.60$

${\text{MP}}_{\text{P}}=\frac{132}{0.60}=220$

Step 3: Find the Selling Price (SP) and Marked Price (MP) of Article Q.

Profit percentage on article Q = 25%
${\text{SP}}_{\text{Q}}={\text{CP}}_{\text{Q}}\times \left(1+\frac{25}{100}\right)=100\times 1.25=125$

Discount percentage on article Q = 25%
${\text{SP}}_{\text{Q}}={\text{MP}}_{\text{Q}}\times \left(1-\frac{25}{100}\right)$

$125={\text{MP}}_{\text{Q}}\times 0.75$

${\text{MP}}_{\text{Q}}=\frac{125}{0.75}=\frac{500}{3}$

Step 4: Calculate the required percentage.

$\text{Required Percentage}=\left(\frac{{\text{MP}}_{\text{P}}}{{\text{MP}}_{\text{Q}}}\right)\times 100$

$\text{Required Percentage}=\left(\frac{220}{\frac{500}{3}}\right)\times 100=\left(\frac{220\times 3}{500}\right)\times 100=\frac{660}{5}=132\%$

Thus, the marked price of article P is 132% of the marked price of article Q.