If a shopkeeper gives 51% discount and still earns 51% profit. Then how much times the selling price was quoted as compared to cost price ?

• If marked price is Rs 100, then SP = Rs 49
  If C is CP, then C*1.51 = 49
  CP = 49/1.51
  Marked price /CP = 100*1.51/49 = 151/49= 3.08 times
  
  so marked price was quoted 3.08 times as compared to cost price.
• 11 years agoHelpfull: Yes(4) No(0)
• For approximation, just consider qn as
  If a shopkeeper gives 50% discount and still earns 50% profit. Then how much times the selling price was quoted as compared to cost price ?
  
  Then for, CP = Rs 100, SP= Rs 150 and marked/quoted price = Rs 300.
  which is 3 times CP.
• 11 years agoHelpfull: Yes(2) No(0)
• 51% OF DISCOUNT=49% OF MARKED PRICE(SP)
  51% OF PROFIT =151% OF COST PRICE
  151CP=49SP=>SP IS APPROX. 3 TIMES(151/49) TIMES OF CP
  
• 11 years agoHelpfull: Yes(2) No(1)
• (100+51)% of cp=(100-51)% of marked price(mp)
  ie,(151/100)*cp=(49/100)*mp
  on simplification,we get mp=151/49=3.08 is the required ans
• 11 years agoHelpfull: Yes(2) No(1)