A dealer sells an article at a profit of 1/4 of the cost. Had he sold at a profit of 1/4 of the selling price, he would have gained Rs 50 more. The cost of the article is ?

• let cost price of article be x rs
  then profit=x*(1/4) =x/4 & SP= x+ x/4 =5x/4
  
  if article is sold at a profit of 1/4 of SP then new profit = 1/4 * 5x/4 = 5x/16
  
  so 5x/16 -x/4 = 50
  => x/16 =50
  => x=800
  
  so, cost of the article = 800 rs
  
• 11 years agoHelpfull: Yes(35) No(8)
• let us take cost = x rupee..
  selling price = 5x/4 rupee..
  another condition
  5x/4+1/4(5x/4) - x = 50 + x/4
  if he sell 1/4 of previous selling cost he would get 50 more profit than previous profit..
  on solving x = 160
• 11 years agoHelpfull: Yes(24) No(17)
• let the cp=x rs. sp=(x+x/4)=5x/4rs.
  another sp=(x+1/4of 5x/4)=21x/16
  now21x/16-5x/4=50: x=800rs.ans
• 11 years agoHelpfull: Yes(13) No(6)
• SP= x+x/4=5x/4
  
  SP=5x/4
  
  Let if profit be 1/4 of SP ,Then
  NewSP = 1/4 * 5x/4 + x(Cost price is x)
  NewSP = 5x/16 + x
  NewSP = 21x/16
  
  Now,
  NewSP - SP = 50
  
  21x/16 - 5x/4 =50
  (21x-20x)/16=50
  x=50*16=800
  
  
  
  
  
• 10 years agoHelpfull: Yes(2) No(0)
• let cp be x
  as per question,
  sp=x/4
  p=sp-cp
  = x/4 - x
  = -3x/4
  again as per questn
  p+50 = sp/4 - x
  -3x/4+50=sp/4 - x
  x/4+50 = sp/4
  we knw that
  cp = (100+p)sp/100
  x = (150/100) (x-200)
  100x = 150x - 30000
  50x = 30000
  x = 600
  200 = x - sp
  200 = 600 - sp
  sp = 400
• 11 years agoHelpfull: Yes(1) No(3)
• let c.p=x
  profit=x/4
  profit=s.p-c.p
  s.p=c.p+profit
  s.p=x+x/4=5x/4
  profit=5x/4*1/4=5x/16
  profit=s.p-c.p
  5x/16=5x/4-x
  5x/16=x/4+50
  x=800
  c.p=800
• 10 years agoHelpfull: Yes(1) No(0)
• let the cost price be X
  profit=s.p-c.p
  x/4=s.p-x
  s.p=5x/4
  5x/16 - x/4=50
  x/16=50
  x=50*16=800.
  cost is 800.
  
  
• 10 years agoHelpfull: Yes(1) No(1)
• let CP=100
  sells at a profit of 1/4 of the cp, so SP=125
  new SP=1/4 of the SP=156.25
  new SP - SP=31.25
  according to ques, if he sold at a profit of 1/4 of SP, then he gain rs.50 more i.e. new SP - SP=50
  So, that difference not 31.25, it is 50 => cp is not 100, it is 160.
  cp=(100*50)/31.25=160
• 9 years agoHelpfull: Yes(1) No(1)
• Let the CP = 400
  So profit =400/4=100
  SP1 will be =500
  Now,
  New profit=500/4=125
  So difference of profit(Given in question)=50
  50=125-100(New profit-Old profit)
  50=25
  
  So, (400/25)*50=800 Ans
• 2 years agoHelpfull: Yes(1) No(0)
• its 800 rs.
  mr. JAYANTA is right
• 11 years agoHelpfull: Yes(0) No(0)
• its 800 rs
• 10 years agoHelpfull: Yes(0) No(0)
• let 16x be the cost price 4x will be thr profit
  then selling price will be 20x
  20x-16x=4x
  taking the 1/4 of selling price i.e. 5x
  profit will be 5x
  16x was the cost price 16x
  21x-16x=5x
  difference between the profit =x =50
  16x = 800
  ans the cost price is 800
• 9 years agoHelpfull: Yes(0) No(0)
• let CP is 100 SP will be 100+1/4 0f 100 =125
  now if SP is 100+1/4 of 125=131.5
  131.5-125=6.5
  if 6.5 is 50
  than 100 is 800
• 9 years agoHelpfull: Yes(0) No(0)
• let the cp =100
  then sp=100*(5/4)=125
  again, new sp =125*(5/4)=625/4
  gained=625/4-125=125/4
  125/4 r=50
  r(ratio)=8/5
  hence cp=8/5*100=160(ans)
• 7 years agoHelpfull: Yes(0) No(0)