Find the ratio of purchase price and sell price if there is loss of 12 1/(2 )%

• If purchase price is Rs 100, then SP = Rs 87.5
  
  so ratio of purchase price and sell price if there is loss of 12 1/(2 )% = 100/87.5= 8/7
• 12 years agoHelpfull: Yes(58) No(4)
• C.P = (100/(100-loss%))*S.P
  Loss% = 25/2 %
  C.P/S.P = 100/(100-25/2)
  = 200/175
  = 8/7
  hence, C.P : S.P = 8:7
• 11 years agoHelpfull: Yes(16) No(0)
• let p.p=100
  loss=25/2
  sp=100-(25/2)
  =175/2=87.5
  p.p:s.p=100:87.5
  =8:7
  
• 11 years agoHelpfull: Yes(14) No(4)
• sp=cp-25/2% of cp
  sp=cp-1/8cp
  sp=7/8cp
  cp:sp=8:7
• 10 years agoHelpfull: Yes(7) No(1)
• cp=cost price means purchase price
  sp=selling price
  here loss=121/(2)%
  loss%=121/2
  we know that
  sp=(100-loss%)/(100)*cp
  so cp/sp=100/39.5 =2.54
  another way
  if cp is 100 den accutal sellprice(with loss)is=100-100*121/(2)%=100-60.5=39.5
  so according 2 qn,
  cp/sp=100/39.5 = 2.54
  
• 11 years agoHelpfull: Yes(4) No(12)
• this is very simple. loss is 12 1/2 %
  i.e 1/8. so for 8 parts there is 1 part loss. i. e 8/7. so Cp: sp = 8:7
• 11 years agoHelpfull: Yes(3) No(0)
• we know it:
  let CP= 100
  loss= CP-SP
  SP= CP-loss
  =100-25/2
  =100-12.5
  =87.5
  So SP=87.5
  now CP/SP=100/87.5
  =1000/875
  8/7...
• 10 years agoHelpfull: Yes(2) No(0)
• this is very simple. loss is 12 1/2 %
  i.e 1/8. so for 8 parts there is 1 part loss. i. e 8/7. so Cp: sp = 8:7
• 11 years agoHelpfull: Yes(1) No(2)
• purchase price : sell price = (100)/(100-loss%) = 100/(100-12.5) = 4 : 3.5
• 6 years agoHelpfull: Yes(1) No(0)
• loss=(cp-sp)/cp
  121/200=1-(sp/cp)
  sp/cp=1-121/200
  sp/cp=.395
  cp/sp=2.53
• 11 years agoHelpfull: Yes(0) No(5)
• let us consider purchase price =100
  loss=12(1/2)=25/2
  sell price=100-(25/2)
  =175/2=87.5
  purchase price:sell price=100:87.5
  =8:7
• 10 years agoHelpfull: Yes(0) No(0)
• let p.p=100
  loss=25/2
  sp=100-(25/2)
  =175/2=87.5
  p.p:s.p=100:87.5
  =8:7
  
• 10 years agoHelpfull: Yes(0) No(0)
• p.p=x, s.p=x-x*12.5%,
  so, p.p/s.p =100/87.5
• 9 years agoHelpfull: Yes(0) No(0)
• loss is 12 1/(2)
  so.. 87.5 is the selling price
  if you compare,
  purchase price : sell price
  100 : 87.5
  .
  .
  see the options the first portion should be bigger than that of second one (not too much difference as it is very near 100:87.5)
  so 8:7 is optable
  
• 9 years agoHelpfull: Yes(0) No(0)
• loss% = {(CP - SP) / CP}*100
  25/2 = {(CP - SP)/ CP } *100
  1/8 = (CP - SP) / CP
  1/8 = 1-( SP /CP )
  SP / CP =1- (1/8) = 7/8
  => CP /SP = 8/7
  => 8: 7
  
• 8 years agoHelpfull: Yes(0) No(0)
• S.P=(100-Loss%/100)*C.P
  C.P/S.P=100/100-Loss% = 100/100-(25/2)
  =200/175=8/7
• 6 years agoHelpfull: Yes(0) No(0)