A pen sold by shopkeeper is marked up by 35% above the cost price and sold after giving some discount. The profit earned in the process is 22%. If the discount offered on the article is Rs.234, then find the difference between marked price and cost price of the pen.

Correct Answer: Rs.630

Step-by-Step Explanation:

Step 1: Understand the given information and assume variables.
Let the cost price (CP) of the pen be $x$.

The marked price (MP) is 35% above the cost price:
$\text{MP}=x+0.35x=1.35x$

The profit earned is 22%, which means the selling price (SP) is:
$\text{SP}=x+0.22x=1.22x$

Step 2: Relate Discount to Marked Price and Selling Price.
Discount is given by the formula:
$\text{Discount}=\text{MP}-\text{SP}$

Substitute the expressions in terms of $x$:
$\text{Discount}=1.35x-1.22x=0.13x$

Step 3: Solve for the cost price ($x$).
We are given that the discount offered is Rs.234.
$0.13x=234$

$x=\frac{234}{0.13}=1800$

So, the Cost Price (CP) of the pen is Rs.1800.

Step 4: Find the difference between Marked Price and Cost Price.
The difference between the marked price and cost price is the markup amount, which is 35% of CP:
$\text{Difference}=\text{MP}-\text{CP}=0.35x$

$\text{Difference}=0.35\times 1800=630$

Therefore, the difference between the marked price and the cost price of the pen is Rs.630.