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