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?

Correct Option: 132%

Let us analyze the data given in the bar graph for articles P and Q:

From the bar graph (where blue represents Discount % and orange represents Profit/loss %):
For Article P:
• Discount % = 40%
• Profit % = 10%

For Article Q:
• Discount % = 25%
• Profit % = 25%

Let the Cost Price (CP) of article Q be ${\text{CP}}_{\text{Q}}=100$.

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

Now, let us calculate the Selling Price (SP) and Marked Price (MP) for both articles:

For Article Q:
Selling Price of Q:
${\text{SP}}_{\text{Q}}={\text{CP}}_{\text{Q}}\times (1+\frac{25}{100})=100\times 1.25=125$

Since Discount on Q is 25%, Selling Price is 75% of Marked Price (${\text{MP}}_{\text{Q}}$):
${\text{MP}}_{\text{Q}}\times (1-\frac{25}{100})={\text{SP}}_{\text{Q}}$
${\text{MP}}_{\text{Q}}\times 0.75=125$
${\text{MP}}_{\text{Q}}=\frac{125}{0.75}=\frac{500}{3}$

For Article P:
Selling Price of P:
${\text{SP}}_{\text{P}}={\text{CP}}_{\text{P}}\times (1+\frac{10}{100})=120\times 1.10=132$

Since Discount on P is 40%, Selling Price is 60% of Marked Price (${\text{MP}}_{\text{P}}$):
${\text{MP}}_{\text{P}}\times (1-\frac{40}{100})={\text{SP}}_{\text{P}}$
${\text{MP}}_{\text{P}}\times 0.60=132$
${\text{MP}}_{\text{P}}=\frac{132}{0.60}=220$

Percentage of Marked Price of P relative to Marked Price of Q:
$\text{Percentage}=\left(\frac{{\text{MP}}_{\text{P}}}{{\text{MP}}_{\text{Q}}}\right)\times 100$
$\text{Percentage}=\left(\frac{220}{\frac{500}{3}}\right)\times 100=\frac{220\times 3}{5}=44\times 3=132\%$

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