By selling an article for Rs. 1,170, Elisa suffers as much loss as she would have gained by selling it at a profit of 22%. If she sells it for Rs. 1,450, then her profit/loss per cent (correct up to one decimal place) is:

Explanation

Given: SP = Rs.1170 then profit = 22% Formula: Profit % = (SP - CP)/CP × 100 Loss % = (CP - SP)/CP × 100 Calculation: Let cost price of an article be Rs.a. Loss = a - 1170 Profit = a - 1170 But, ⇒ 22 = (SP - a)/a × 100 ⇒ 22a = 100SP - 100a ⇒ 122a = 100SP Then, ⇒ a - 1170 = SP - a ⇒ SP = 2a - 1170 Solving, SP = Rs.1830 Then, CP = a = Rs.1500 ∴ New loss % = (1500 - 1450)/1500 × 100 = 3.33%