A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.55 more he would have had a profit of 40%. The cost price of the article is___
1) 125 2) 150.5 3) 112.5 4) None

• cp-cost price
  sp-selling price
  
  initially
  cp=100%
  sp=90% of cp
  
  new cp=80% of cp
  new sp=90% of cp + 55 = 140% (80% of cp)
  
  take cp as x
  
  (90x/100)+55 = 140/100 * (80x/100)
  
  solving this
  => x= cp= Rs. 250
• 10 years agoHelpfull: Yes(50) No(5)
• Ans:250
  now x is CP
  sold it at a loss of 10%=90x/100=9x/10
  
  bought it for 20% less=80x/100=4x/5
  
  profit 40%of 4x/5=140x/100*4x/5=56x/50
  
  56x/50-9x/10=55rs
  560x-450x/500=55rs
  110x/500=55rs
  x=500*55/110
  x=27500/110=250
  x-250
• 10 years agoHelpfull: Yes(24) No(2)
• initially cp=100,sp=90 (assume)
  after cp=80,sp=40% of cp+cp=112
  diff between two sp=22
  so 22 resembels with rs 55
  100 will be resemble with 250 (ans)
  
• 10 years agoHelpfull: Yes(15) No(0)
• ans=250;
  if x is cost of the article
  then the problem says that-
  (80x/100)*140/100 = (90x/100)+55
  after solving this we get x=250.
• 10 years agoHelpfull: Yes(8) No(0)
• Answer is 250.
  let cost of the price x
  sold=x-x*10%=9x/10
  if he had brought 20% less cost of the price x-x*20%=4x/5
  so (9x/10)+55=(4x/5)*140%
  x=250
  
• 10 years agoHelpfull: Yes(3) No(0)
• lets cp1 100x
  sp1 90x
  if cp1 80x
  ATP
  90x+15-80x=40
  =>x=25/10
  then cp1 will be 25/10* 100=250
• 10 years agoHelpfull: Yes(3) No(0)
• let cp be x
  then sp=90x/100
  if bought at loss of 20% then
  cp=80*x/100
  sp=90*x/100 +55 ..... eq(1)
  after gaining profit as 40%
  from eq 1
  (90*x)/100 +55=140/100*80*x/100
  on solving x=250
  none of these
• 10 years agoHelpfull: Yes(2) No(0)
• let cp=x
  cp1=x sp1=0.9x
  cp2=0.8x sp2=0.9x+55
  40=(0.9x+55-0.8x)/0.8x * 100
  x=250
• 10 years agoHelpfull: Yes(0) No(0)
• 56/50 - 9/10 == 55
  100 ====== ?
  get 250
• 7 years agoHelpfull: Yes(0) No(0)
• Ans:250
  now x is CP
  sold it at a loss of 10%=90x/100=9x/10
  
  bought it for 20% less=80x/100=4x/5
  
  profit 40%of 4x/5=140x/100*4x/5=56x/50
  
  56x/50-9x/10=55rs
  560x-450x/500=55rs
  110x/500=55rs
  x=500*55/110
  x=27500/110=250
  x=250
• 5 years agoHelpfull: Yes(0) No(0)