Shortcut Trick Ratio of final price to initial price = 2277 ÷ 1800 = 1.265 Second profit multiplier = 1 + 15/100 = 1.15 First profit multiplier = 1.265 ÷ 1.15 = 1.1 First profit percentage = (1.1 − 1) × 100 = 10% ∴ The correct answer is 10%. Alternate Method Given: Initial Cost Price (CP) = ₹1800 Final Selling Price (SP) = ₹2277 Profit percentage of second seller = 15% Calculations: ⇒ Let the price after the first selling be P_(1). ⇒ Second seller's profit = 15% ⇒ P_(1) × (1 + 15/100) = 2277 ⇒ P_(1) × 1.15 = 2277 ⇒ P_(1) = 2277 ÷ 1.15 = 1980 ⇒ Now, the first seller's cost price was ₹1800 and selling price was ₹1980. ⇒ First seller's profit amount = 1980 − 1800 = ₹180 ⇒ First seller's profit percentage = (Profit ÷ CP) × 100 ⇒ Profit percentage = (180 ÷ 1800) × 100 ⇒ Profit percentage = 10% ∴ The correct answer is 10%. Related Concepts: Successive Profit/Loss Formula When two successive changes of x% and y% occur, the net percentage change is given by: Net % = x + y + (x × y)/100. Profit Percentage Profit % = [(Selling Price − Cost Price) ÷ Cost Price] × 100. It is always calculated on the Cost Price unless stated otherwise. Multiplier Method For a profit of p%, the multiplier is (1 + p/100). Final Price = Initial Price × M_(1) × M_(2).