Two sellers A and B claim the same profit percentage on selling an item for Rs. 1800. A calculates his profit on the selling price, while B calculates it on the cost price. If the difference in their profit is Rs. 150, what is the claimed profit percentage? MCQ with Answer and Explanation

Let profit percentage be P. A's profit = P% of 1800. B's Cost Price = 1800 / (1 + P/100). B's profit = 1800 - [1800 / (1 + P/100)]. If P = 33.33% (1/3), A's profit = 1800 * (1/3) = 600. B's profit = 1800 - (1800 / (4/3)) = 1800 - 1350 = 450. Difference = 600 - 450 = 150. Claimed profit percentage = 33.33%.