A shopkeeper sells one-fourth of his articles at 25% profit, one-third of the remaining articles at a loss of 30%, and the remaining articles at a profit equal to the cost price of the 15 articles. Which of the following can be the profit percentage in the entire transaction? (A)15% (B)10% (C) 5% (D) 12%

let total number of article = 100 units let Cost price of each article = 100rs first trnx : 25% profit i.e. 125 rs ( selling price) 1/4th of total units = 25 units 25 * 125 = 3125rs profit = 25 * 25 = 625rs second trnx : 30% loss i.e. 70rs ( selling price) 1/3rd of total remaining units = 1/3 rd of 75 = 25 25* 70 = 1750 loss = 30 * 25 =750 3rd trnx profit = 15 * 100 =1500 total profit = 625 - 750 + 1500 = 1375rs profit % = ( 100 * 1375 )/ 100*100 = 13.75 %