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.