Option 4 : Rs.80,000

**Given**

If discount is 22% then he would get Rs 6400 more than what he gets after selling it at a discount of 30%

**Concept Used:**

Selling price = Cost price - Discount

**Calculation**

Let the marked price is Rs x

(x - 30% of x) + 6400 = (x - 22% of x)

⇒ 70% of x + 6400 = 78% of x

⇒ 8% of x = 6400

⇒ x = (6400 × 100)/8

⇒ x = 80000

∴ **The marked price is Rs. 80,000.**

__Shortcut Trick__

Let the Marked price be 100 units.

According to the question,

{(100 - 22) - (100 - 30)} units ≡ Rs. 6400

⇒ (78 - 70) units ≡ Rs. 6400

⇒ 8 units ≡ Rs. 6400

⇒ 1 unit ≡ Rs. 800

⇒ 100 units ≡ Rs. 80,000

**∴ The Marked price is Rs. 80,000.**