Correct Answer - Option 4 : 1200
Given:
SP = Rs. 720
Loss percentage = 25%
Profit percentage = 25%
Formula used:
(i) Loss percentage = {(CP - SP)/CP} × 100
(ii) Profit percentage = {(SP - CP)/CP} × 100
where,
CP = Cost price
MP = Marked price
SP = Selling price
Calculation:
Loss percentage = {(CP - SP)/CP} × 100
⇒ 25 = {(CP - 720)/CP} × 100
⇒ 0.25CP = CP - 720
⇒ 0.75CP = 720
⇒ CP = Rs. 960
Profit percentage = {(SP - CP)/CP} × 100
⇒ 25 = {(SP - 960)/960} × 100
⇒ 0.25 = {SP - 960}/960
⇒ 240 = SP - 960
⇒ SP = Rs. 1200
∴ He must sell at Rs. 1200.
