A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost of the article.

• Let C.P=100
  Gain=25%
  S.P=125
  
  Supposed C.P=80
  Gain=30%
  S.P=(130*80)/100=104
  Diff=(125-104)=21
  
  Diff 21 when C.P=100
  then Diff 10.50 when C.P=(100*10.50)/21=50
  So ans is 50
• 13 years agoHelpfull: Yes(21) No(1)
• To find: Real C.P.=? when gain=25%
  Imagination given:
  He bought at 20% less(loss)of S.P.
  i.e bought at S.P.*(80/100)
  assume S.P.=100
  so, bought at 100*(80/100)=80
  now,he sold it at 10.50 less
  so, 80-10.50=69.5 here gain=30%
  C.P.=(100/130)*69.5=53.46
  finally, we have to find C.P. for 25% gain i.e. 5% loss on C.P.=53.46
  so,53.46*(95/100)=50.787 i.e.50
  so, ans. is 50
• 10 years agoHelpfull: Yes(2) No(1)