A man buys spirit at Rs. 60 per letter, adds water to it and then sells it at Rs. 75 per litter. What is the ratio of spirit to water if his profit in the feal is 37.5%?

(a) 9:1 (b) 10:1 (c) 11:1 (d) None of these.

• CP = Rs 60
  profit = 37.5%
  SP = 60*1.375 = Rs 82.5
  
  Qnty sold @ Rs 75 per litre = 82.5/75 = 1.1 ltr.
  
  so 10% water is to be added to make 1.1 ltr from 1 ltr of spirit.
• 13 years agoHelpfull: Yes(76) No(23)
• let initially man has 100 lt of spirit.
  cp of 100 lt spirit=60*100=6000
  now let x lt of water is added then sp of (100+x)lt spirit=75*(100+x)
  now from formula:sp=cp(100+profit)/100
  75(1000+x)=6000(1375)/1000
  =>x=10
  hence amount of mixed water =10 lt,and amount of spirit =100lt.
• 9 years agoHelpfull: Yes(17) No(1)
• Ans is 10.1
• 12 years agoHelpfull: Yes(13) No(32)
• 9:1 is the answer it's the problem of alligation mixture.
  Cp of mixture=(100/137.5)*75=54.54Rs
  ratio= 56:6= 9:1
• 11 years agoHelpfull: Yes(5) No(5)
• SP = 75
  P% = 37.5%
  CP per litre = 60
  
  therefore, CP as per profit ratio = 75 - [ 75*37.5/137.5 ]
  = 54.54
  
  Quantity of spirit to be bought from Rs 54.54 = 54.54/60 litre
  = 0.909 litre
  
  Quantity of water to be mixed with spirit (to get One litre Mixture) = 1 - 0.909 = 0.0909 litre
  
  therefore, Ratio of SPIRIT TO WATER = 0.909 : 0.0909
  = 10 : 1 (Ans.)
• 10 years agoHelpfull: Yes(4) No(0)
• ratio= 10:1
• 10 years agoHelpfull: Yes(1) No(0)
• Ans is 10:1
• 9 years agoHelpfull: Yes(1) No(1)
• 60*N1+0*N1
  75*(137.5/100)=-----------------------
  N1+N2
  
  N1+N2=1.1N1
  N1/N2=1/10
• 9 years agoHelpfull: Yes(1) No(1)
• d) none of these
  
• 10 years agoHelpfull: Yes(0) No(2)
• 24 times because 6561/3=2187&there r three 2187 parts he has to weigh each one once then only he knows which is larger weight so 6561=3^8 ,so 8*3=24times he has to weigh the balls
• 9 years agoHelpfull: Yes(0) No(0)
• Let the man takes the initial quantity of spirit is = X liters
  Then the cost price will be= 60*X rs.
  suppose he mixes Y liters of water in the Initial Quantity of the spirit.
  Then the quantity of mixture will become= (X+Y) liters
  Total money after selling the mixture at the rate of 75 will be= 75*(X+Y) rs.
  According to the question
  Toatal money after selling the mixture=1.375 *60X
  so,
  1.375*60X=75*(X+Y)
  
  After solving the above equation we will get-------> (X/Y)=(10/1).
  
  So option (b)is correct.
• 8 years agoHelpfull: Yes(0) No(1)
• his profit percentage =37.5=3/8
  total =3+8=11
  there fore 10:1
• 6 years agoHelpfull: Yes(0) No(0)