Deepak buy some article at Rs 4096 and sells one- sixth of them at 12 % profit, one third at 9% profit, 25% article at 10% profit. At what percent loss he sells the remaining article if in the whole transaction he did not make any profit or loss?

Total CP = Rs 4096. Let total articles = N, so CP per article = 4096/N. Articles sold at profit: (1/6)N at 12% profit, (1/3)N at 9% profit, (1/4)N at 10% profit. Remaining = (1 - 1/6 - 1/3 - 1/4)N = (1/4)N. Total profit = 0, so weighted profit = 0. Let x% be loss on remaining. (1/6)(12) + (1/3)(9) + (1/4)(10) + (1/4)(-x) = 0. Solving: 2 + 3 + 2.5 - x/4 = 0, so x/4 = 7.5, giving x = 30% (option B).