Gaurav buys milk at Rs. 60 per litre, adds water to it and then sells it at Rs. 75 per litre. What should be the ratio of milk to water to get a profit of 37.5%?

• When cp= Rs 60 and sp= Rs 75, gaurav gets profit of
  profit= (sp-cp)/cp *100
  =(75-60)/60*100
  =25%
  So for getting CP at 37.5% profit at same selling price.
  =75*(100/137.5)= 7500/137.5= (100*6*12.5)/(11*12.5)=600/11
  
  So pure milk= new cp/old cp= (600/11)/60=10/11
  
  As pure milk=10/11
  so water fraction will be=1-(10/11)=1/11
  
  so ratio of milk to water=(10/11) / (1/11)
  =10:1
• 9 years agoHelpfull: Yes(21) No(1)
• jaspalsingh and some other u ppl always solve question with very difficult way so all student dint get n u feel u r so smart bullshit u all
• 9 years agoHelpfull: Yes(12) No(6)
• if Gain and SP is given then CP=SP*(100/100+gain)
  CP of mixture=75*(100/100+37.5)=600/11
  Mean CP=600/11
  now
  CP of water=0 and CP of pure milk=60 (given)
  so
  Quantity of water/Quantity of milk = (CP of pure milk-mean CP) / (mean CP - CP of water)
  =(60-(600/11) ) / ((600/11)-0)
  =(60/11 - 600/11)
  =1/10 Ans.
• 10 years agoHelpfull: Yes(11) No(4)
• The cost price of the mixture = (100/137. 5)(75) = 600/11.
  ∴
  Fraction of purespirit in the mixture = (600/11) ÷ 60 = 10/11.
  ∴
  the fraction of water is 1/11.
  ∴
  Ratio 10 : 1
• 10 years agoHelpfull: Yes(8) No(2)
• it should be 1/5
  
• 9 years agoHelpfull: Yes(1) No(6)
• M W
  60 0
  (75*100/137.5)
  x y
  x/y=(60-600/11)/(600/11-0)
  x/y=10/1
• 9 years agoHelpfull: Yes(1) No(1)
• milk to water ratio is 7:1.
  7 part of 1 litre milk will be taken and mixed with water and sold at the rate of 75.
  
• 8 years agoHelpfull: Yes(0) No(0)