Short Trick: (20 + 18)% of CP = 570 CP = 1500 Required SP = 1500 × (100 - 12)/100 = Rs. 1320 Detailed Solution: Let the cost price be 100x. ⇒ Selling price when sold at 12% profit = 100x × 120% = 120x ⇒ Selling price when sold at 18% loss = 100x × 82% = 82x ⇒ The difference in selling price when sold at 20% Profit and when sold at 18% Loss = 570 ⇒ (120x - 82x) = 570 ⇒ 38x = 570 ⇒ 100x = 1500 ⇒ Selling price when sold at 12% loss = cost price × (100 - 12)% ⇒ Selling price when sold at 12% loss = 1500 × 88% = Rs. 1320 ∴ Selling price at 12% loss will be Rs. 1320.