Correct Answer - Option 3 :
I and III
Given:
SP1 = Rs. n
SP2 = 70% of n
Loss = 19.5%
Formula Used:
Profit% = (Profit/CP) × 100
SP = {(100 + P%)/100} × CP
SP = {(100 – L%)/100} × CP
Where P is Profit, L is loss, CP is cost price and SP is selling price.
Calculation:
SP2 = 70% of n
⇒ (70/100) × n
Loss = 19.5%
⇒ SP2 = {(100 – 19.5)/100} × CP
⇒ (70/100) × n = {(100 – 19.5)/100} × CP
⇒ 70n = 80.5CP
⇒ n = 1.15CP
⇒ n = (115/100) × CP
⇒ n = {(100 + 15)/100} × CP
⇒ n(original selling price) is 15% more than CP
I. If original selling price is Rs. 920, cost price is Rs. 800
CP = Rs. 800
n is 15% more than CP
Original selling price = (115/100) × 800
⇒ Original selling price = Rs. 920
⇒ I is correct
II. Original selling price is 12% more than cost price
n(original selling price) is 15% more than CP
⇒ II is incorrect
III. If cost price is Rs. 850, n will be Rs. 977.5
n = 115% of CP
⇒ (115/100) × 850
⇒ 977.5
⇒ III is correct.
∴ I and III are correct.