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 %