Rama bought goods at a discount of 20% of list price.He marks them at a price as search he can give discount of 20% on a marked price and still makes the profit of 20% on selling price.What percent of list price is the marked price
a)100%
b)175%
c)125%
d)180%

• 125 %
  
  If marked price is Rs 100/-
  Selling price = Rs 80/-
  Profit = 80*0.2= Rs 16
  CP= Rs 64
  List price = 64*100/80 = Rs 80
  so marked price is 100*100/80 = 125%
• 10 years agoHelpfull: Yes(4) No(7)
• @inder..But he wants to get the profit of 20%.in your caluculation it is a loss.
  
  
• 10 years agoHelpfull: Yes(3) No(2)
• cp=80x/100
  price=80*100/100=80
  sp=120*cp/100
  120*80x/100=24x/25
  gain=24x/25-800x/100=4x/25
  profit=20=4x/25=125
  ans=125%(c)
• 10 years agoHelpfull: Yes(3) No(0)
• very clear explanation step by step:
  s.p=80/100(m.p); equation-1
  
  c.p=80/100(s.p); //as 20% profit on s.p ie--.80%(s.p)=c.p; equation-2
  
  substitute s.p from eq(1) to eq(2);
  then we get
  
  c,p=80/100 [80/100(m.p]; equation 3
  but we have c.p=80/100(list.price); equation 4
  
  eq 3=eq 4. //as both are c.ps and here we get relation between list price and marked price.
  we get
  
  80/100(m.p)=l.p;
  l.p=100/80(m.p);
  l.p=1.25(m.p); //as answer needs to be in percent.multiply by 100 which gives 125.
  so,answer is (c)125
• 9 years agoHelpfull: Yes(3) No(0)
• please provide correct answer
• 9 years agoHelpfull: Yes(0) No(0)