a shopkeeper sold his goods at half the list price and thus lost 20%.if he had sold on the listed price,his gain percentage would be how much?

• 60%
  
  Let the list price be x, then
  When selling at x/2, there is a loss of 20%, so CP=(x/2)*(100/80)=5x/8
  Hence % gain when SP is x = 100*(x - 5x/8)/(5x/8) = 60
• 7 years agoHelpfull: Yes(8) No(1)
• ans: 60%
  
  Let the list price be 100, then the shopkeeper sold his goods for half of the list price i.e 50.
  He undergoes 20% loss.
  Cost price of the goods is = (100/(100-20))*50 = 125/2
  now,
  if he sells his goods at listed price then the profit percent is given by,
  
  profit%= ((100-125/2)/(125/2)) *100 = 60
• 7 years agoHelpfull: Yes(2) No(0)
• Answer : 60%
  
  Let list price = Rs.100/-
  i) Sold at Rs.50/-
  Loss = 20%
  if x was the price at which the goods was brought then,
  x = 50 + 20% of x
  x = 50 + (1/5) x
  Solving for x, we get x = Rs.62.5/-
  
  ii) Now CP = Rs.62.5/-
  SP = Rs.100/-
  Therefore, Gain percentage = 100 * (SP - CP) / CP
  = 100 * (100-62.5) / 62.5 = 60%
• 6 years agoHelpfull: Yes(1) No(0)