A man gives 4 percent discount on marked price and gives 1 article free for buying every 15 articles and gains 35 percent. Find marked price is increased above the cost price by ?

• Let the marked price = 100.
  This price after discount of 4% = 100 - 4 = 96.
  But again he gives 1 article free on buying of 15 articles; means discount of 1 on every set of 16.
  Therefore discount on 96 = 96/16 = 6.
  Therefore total discount = 4 + 6 = 10%
  Now his gain is 35%
  If the selling price is 90 the cost price,
  = (100/135)*90 = 200/3
  Hence, Extra mark price,
  = 100 - 200/3 = 100/3
  Thus % increase on 100 = (100/3)*(3/200)*100 = 50%
• 7 years agoHelpfull: Yes(9) No(1)
• Let marked price =M and Cost price=x, Then
  S.P of 16 items=(15*96)*M/100
  
  Now, Gain%=35=((15*96)*M)/100 - 16x)*100/16x
  or 35x=90M-100x
  or M/x=3/2
  
  
  We need the diiference b/w M and x in %,
  So,
  (M-x)*100/x = ((M/x)-1)*100= 50%
• 7 years agoHelpfull: Yes(2) No(0)