Goods are purchased for Rs. 450 and one-third is sold at a loss of 10%. At what profit per cent should the remainder be sold so as to gain 20% on the whole transaction?

• Assume Total cost price of goods = Rs. 450
  Our target SP of total goods = 120100×450=Rs.540
  
  One-third of the goods costs = 450/3 = Rs.150
  
  SP of one-third goods = 90100×150=Rs.135.
  
  SP of the remaining goods = 540 – 135 = Rs. 405
  
  CP of remaining (two-thirds) goods = Rs. 300
  
  Hence, profit per cent = .105300×100=35%
• 11 years agoHelpfull: Yes(1) No(0)
• 35%
  If the quantity of goods= x, the price/good=450/x
  Earning by selling 1/3 goods @10% loss= (x/3)*0.9*(450/x)=135 Rs.
  As there is gain of 20% on whole transaction
  so total earnings required=1.2*450=540 Rs.
  Remaining earning needed by 2/3 of the good=540-135=405 Rs.
  So price/good for remaining 2x/3 goods=405/(2x/3)=1215/2x
  Profit % for remaining goods=[(1215/2x)*100/(450/x)]-100=135-100=35
  
  
• 11 years agoHelpfull: Yes(0) No(1)