If goods are purchased for Rs. 450 and one-third is sold at a loss of 10%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction? MCQ with Answer and Explanation

Total cost = 450. Total desired SP = 450 * 1.2 = 540. CP of one-third = 150. SP of one-third at 10% loss = 150 * 0.9 = 135. Required SP for remainder = 540 - 135 = 405. CP of remainder = 300. Profit required = 405 - 300 = 105. Profit % = (105 / 300) * 100 = 35%.