An increase of Rs 3 in the selling price of an article turn a loss of 15/2% into a gain of 15/2%.The cost price of the article is??

• (15/2 +15/2) % of CP = 3
  15% of CP =3
  CP = 3*100/15 = Rs 20
• 11 years agoHelpfull: Yes(4) No(0)
• let cost price= x rs
  and selling price = y rs
  now condition (1)-
  if we sell at y loss occurs 15/2%
  so by formula
  selling price ={(100-%loss)/100}* cost price
  so put values
  y={(100-15/2)/100}x
  y=(185/200)*x
  x*182/200 - y=0---------(1)
  condition 2-
  if we increase selling price by 3 we get profit by 15/2%
  so by formula
  selling price={(100+%profit)/100}*cost price
  put values
  y+3={(100+15/2)/100}*x
  x*(215/200)-y=3 --------(2)
  now on solving equation 1 and 2 we get
  x= 20 rs (answer)
  
• 11 years agoHelpfull: Yes(2) No(0)
• let cp=x
  SP(loss) = (100x-7.5x)/100
  SP(gain) = (100x+7.5x)/100
  given SP(loss) + 3 = SP(gain)
  put the values in the above equation gives x = 20
  CP = 20
• 10 years agoHelpfull: Yes(1) No(0)
• cost price is 20
  
• 11 years agoHelpfull: Yes(0) No(4)