The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit respectively, find the percentage profit earned by the third seller.

• 10%
  
  let initial price of jewel be 100
  
  first hand => 100 + 20 = 120
  second hand => 120 + (120*25/100) = 120 + 30 = 150
  
  After % of profit to third seller be x%
  => selling price = 150 + (150x/100) = 150 + 1.5x
  
  total increase in amount = 65% = 165
  => 150 + 1.5x = 165
  => x = 10%
• 11 years agoHelpfull: Yes(9) No(3)
• If % profit earned by third seller is x, then
  
  1.2*1.25*(1+x/100)=1.65
  (1+x/100) = 1.65/1.5 = 1.1
  x/100=0.1
  x= 10%
  
• 11 years agoHelpfull: Yes(2) No(0)
• (1+(20/100))×(1+(25/100))×(1+(x/100))=(1+(65/100))
  
  (120/100)×(125/100)×((100+x)/100)=(165/100)
  (3/2)(100+x)=165
  
  100+x=110
  X=10
• 7 years agoHelpfull: Yes(1) No(0)