Correct Answer - Option 2 : 960

**Given:**

Original Selling Price = Rs. 832

New Selling Price = Rs. 448

Profit earned by selling the article for Rs. 832 = Loss incurred by selling the article at Rs. 448

**Formula Used:**

Profit = SP - CP

Loss = CP - SP

SP = CP × {(100 + Profit%)/100}

where,

SP = Selling Price,

CP = Cost Price

**Calculation:**

According to the question,

Profit earned by selling the article for Rs. 832 = Loss incurred by selling the article at Rs. 448

⇒ Original SP - CP = CP - New SP

⇒ 832 - CP = CP - 448

⇒ 2 × CP = 832 + 448

⇒ CP = 1,280/2

⇒ CP = Rs. 640

Now, the Selling Price for making 50% profit,

SP = CP × {(100 + Profit%)/100}

⇒ 640 × {(100 + 50)/100}

⇒ 640 × (150/100)

⇒ 640 × (3/2)

⇒ 320 × 3

⇒ Rs. 960

**∴ The sale price of the article for making 50% profit should be Rs. 960.**