the profit on a certain article is 25% had it been brought at 10% discount and sold for 20% more than the earlier cost,the profit would have been rs 600.what is the cp of the article

• suppose cost priz is 100%
  but he got that 10% discount so i.e 90%
  but he sold more than 20% than cost priz so s.p is 120%
  so profit is 30% i.e given 600
  30%-------600
  100%----- ?
  (100*600)/30====>""2000""
• 10 years agoHelpfull: Yes(46) No(0)
• Let CP be x
  Gain% = 25%
  Then SP = x*125/100
  SP = 5x/4
  
  If it had been bought at 10% discount
  Then CP = x*90/100
  CP = 9x/10
  sold at 20% more that the earliest cost... [earliest cost means x]
  Then SP = x*120/100 = 600+(9x/10)
  6x/5 = (6000+9x/10)
  12x = 6000+9x
  3x = 6000
  x = 2000
  
  Ans : Rs. 2000
• 10 years agoHelpfull: Yes(39) No(0)
• here,profit=25%
  let cp=x.
  then sp= x/125*100=5x/4 -----(1)
  now brought at 10% loss then
  sp= x/90*100 =9x/10 --------(2)
  sold for 20% more than earlier cp i.e cp=x.
  sp=x/120*100=6x/5 ------(3)
  now profit =sp-cp
  6x/5-9x/10=600 (using 2nd and 3rd equtn)
  solve this you get x=2000.
  
• 10 years agoHelpfull: Yes(4) No(2)
• cp=x*90/100
  x*120/100=600+x*90/100
  x=2000
  ans
  
• 10 years agoHelpfull: Yes(4) No(0)
• Let CP be x
  Gain% = 25%
  Then SP = x*125/100
  SP = 5x/4
  
  If it had been bought at 10% discount
  Then CP = x*90/100
  CP = 9x/10
  sold at 20% more that the earliest cost... [earliest cost means x]
  Then SP = x*120/100 = 600+(9x/10)
  6x/5 = (6000+9x/10)
  12x = 6000+9x
  3x = 6000
  x = 2000
  
  Ans : Rs. 2000
• 10 years agoHelpfull: Yes(2) No(1)