A marked an article 60% above its cost price and when he allows ‘X’% discount, he makes a profit of ________% and when he allows ‘1.5X’% discount, he make a profit of ________%. Find which of the following value/s comes in place of blank respectively.
(i) 28, 12
(ii) 36, 24
(iii) 47.2, 40
Let cost price be Rs.100a Marked price = 100a×160/100=Rs.160a From (i) Profit percent when he allows X% discount = 28% So, selling price = 100a×128/100=Rs.128a Value of X = (160a-128a)/160a×100=20% When he allows 1.5X% discount so, discount percentage = 1.5×20=30% New selling price = 160a×70/100=Rs.112a New profit percentage = (112a-100a)/100a×100=12% So, (i) is possible to fill the both respective fillers From (ii) Profit percent when he allows X% discount = 36% So, selling price = 100a×136/100=Rs.136a Value of X = (160a-136a)/160a×100=15% When he allows 1.5X% discount so, discount percentage = 1.5×15=22.5% New selling price = 160a×((100-22.5))/100=Rs.124a New profit percentage = (124a-100a)/100a×100=24% So, (ii) is possible to fill the both respective fillers From (iii) Profit percent when he allows X% discount = 47.2% So, selling price = 100a×147.2/100=Rs.147.2a Value of X = (160a-147.2a)/160a×100=8% When he allows 1.5X% discount so, discount percentage = 1.5×8=12% New selling price = 160a×((100-12))/100=Rs.140.8a New profit percentage = (140.8a-100a)/100a×100=40.8% So, (iii) can’t fill both respective fillers So, both (i) & (ii)
18   22    49    ?       190    226
...1331      1000            729       512       ?             216
...60000 2400 120 8 0.8 ?
...0 2 6 12 20 ?
...24  12  18  ?  157.5  708.75  3,898.125
31     35      60     124      ?      441
...127 470 254 ? 315 342
...157, 159, 189, 319, ‘?’, 1 407 , 2749 Â
31     33     69     212     ?     4286
...Look at the below pattern and complete the series: 11, 15, 22, 26, 33, 37, 44, ?