After a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark his goods?

• Let x=cost price
  Y=selling price
  So, x+(14.28x/100)=y-(11.11y/100)
  Or y=1.2856x
  Or y=128.56x/100
  Or y=x+28.56x/100
  28.56% above the cost price he mark his goods
  
• 13 years agoHelpfull: Yes(21) No(3)
• lets say sp = 1
  discount = 11.11% = 1/9
  thus if cp = x
  (8/9 - x)/x = 14.28% = 1/7
  8/9-x=x/7
  8/9 = 8x/7
  x = 7/9
  
  profit bfore discount = (1-7/9)/(7/9)*100 = 2*100/7 = 28.56% ...... ANS
• 13 years agoHelpfull: Yes(7) No(2)
• let x be the cost price and y be the selling price..
  price after 11.11% discount=y-(11.11/100)*y=(88.89/100)*y
  price after 14.28% gain=x+(14.28/100)*x=(114.28/100)*x
  so (88.89/100)*y=(114.28/100)*x
  y=(114.28/88.89)*x=x+(25.39/88.89)*x
  hence he should mark at 25.39/88.89 above the cost price
• 13 years agoHelpfull: Yes(4) No(14)
• Let the CP be Rs. 100, then SP = 100 + 14.28% of 100 = Rs. 114.28.
  (As Profit = 14.28%)
  This profit is arrived after giving discount of 11.11% on the marked price.
  Let the marked price be x.
  X - 11.11% of X = 114.28.
  X*(100 -11.11)/100 = 114.28
  X = (114.28*100)/8889 = Rs. 128.56, which is more than 28.56% of CP
• 8 years agoHelpfull: Yes(2) No(1)