Correct Answer - Option 3 : Rs. 5120

**Given: **

First article sold at = 20% loss

Second article sold at = 60% profit

The difference of cost price = Rs. 3200

Selling price of both the article is same

**Formula Used:**

SP = CP + Profit

SP = CP - Loss

SP = CP × (100 + Profit%)/100

SP = CP × (100 - Loss%)/100

**Calculation:**

Case:1

Let the cost price of the first article be x

Loss % = 20%

SP = CP × (100 - Loss%)/100

⇒ x(100 - 20)/100

⇒ 0.8x

Case:2

Let the cost price of the second article be y

Profit% = 60%

SP = CP × (100 + Profit%)/100

⇒ y(100 + 60)/100

⇒ 1.6y

Now, A/Q

Selling price for both the article is same

0.8x = 1.6y

⇒ x/y = 1.6/0.8 = 2/1 ----(1)

Difference of cost price = Rs.3200

⇒ x - y = 3200

⇒ 2y - y = 3200

⇒ y = Rs. 3200

SP = 1.6y = 1.6 × 3200 = 5120

**∴ The selling price of the article is Rs 5120**