A pen is marked up by 35\% above its cost price by a shopkeeper. After giving a discount, the shopkeeper earns a profit of 22\%. If the discount given on the pen is Rs.234, what is the difference between the marked price and the cost price of the pen?

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**Solution:**

1. Let the cost price of the pen be $ C $.

2. The marked price (MP) is 35\% above the cost price:
   $$
   MP = C + 0.35C = 1.35C
   $$

3. The shopkeeper gives a discount of Rs.234 on the marked price, so the selling price (SP) is:
   $$
   SP = MP - 234 = 1.35C - 234
   $$

4. The profit earned is 22\%, so:
   $$
   SP = C + 0.22C = 1.22C
   $$

5. Equate the two expressions for SP:
   $$
   1.35C - 234 = 1.22C
   $$

6. Rearranging:
   $$
  $ 1.35C - 1.22C = 234 \ 0.13C = 234 \ C = \frac{234}{0.13} = 1800$
   $$

7. Now, find the difference between marked price and cost price:
   $$
   $MP - C = 1.35C - C = 0.35C = 0.35 \times 1800 = 630$
   $$

**Answer:** Rs.630

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