A milk man mixed 1 : 4 solution of milk and water with another 1 : 2 solution of milk and water in the volume of ratio 3 : 2. If the profit earned by selling the first solution was 20% and the mixture was sold at the same price, what is the profit or loss percentage? You have to assume that water comes free of cost.
a. 5.26% profit
b. 5.25% loss
c. 6.25% loss
d. None of these

• first solution has 1L milk in 5L solution, hence 0.2L milk/ liter of sol. 2nd sol has 0.33L milk/liter of sol.
  Then he take 3L of first sol and 2L of second sol. so, the final mixture has 0.2*3+0.33*2=1.26L of milk in 5L of Mixture.
  Let he sold first sol in Re1 with 20% gain, means 1L milk with Re0.2 gain
  In the final mix he sold 0.26L free wich have a profit of (0.2/1)*0.26=0.052=5.2% loss
• 9 years agoHelpfull: Yes(24) No(7)
• plz explain the answer.
• 9 years agoHelpfull: Yes(9) No(3)
• ans. 5.25 % loss.
• 9 years agoHelpfull: Yes(9) No(0)
• Consider 90 litre of solution1 and 60 litre of solution2
  
  90 litre of solution1 contains 90*1/5=18 litre of milk and (90-18)=72 litre of water
  60 litre of solution2 contains 60*1/3=20 litre of milk and (60-20)=40 litre of water
  
  Mixture will have 18+20=38 litre of milk 72+40=112 litre of water
  i.e., Quantity of milk : Quantity of water = 38 : 112 = 19 : 56
  
  Take 75 litre of solution1. Quantity of milk = 75*1/5=15 litre. Profit earned in selling solution is 20%
  assume cost price of 1 litre of milk = Rs.1
  Cost price of 75 litre of solution1 = Rs.15.
  Selling price of 75 litre of solution1 = 15*120/100 = Rs.18
  
  Take 75 litre of mixture. Quantity of milk = 75*19/75=19 litre.
  Cost price is Rs.19
  Selling price will be same and is Rs.18
  so there will be a loss
  Loss = Rs.1 in selling 75 litre of the mixture
  Percentage loss = 1*100/19 = 5.25% loss
• 9 years agoHelpfull: Yes(7) No(2)
• Nitesh singh can you please explain how have you solved:
  90 litre of solution1 contains 90*1/5=18 litre of milk and (90-18)=72 litre of water
  60 litre of solution2 contains 60*1/3=20 litre of milk and (60-20)=40 litre of water?
  
• 9 years agoHelpfull: Yes(3) No(0)
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• 9 years agoHelpfull: Yes(1) No(2)
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• 9 years agoHelpfull: Yes(1) No(2)
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• 9 years agoHelpfull: Yes(0) No(7)
• 5.55% loss
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• 9 years agoHelpfull: Yes(0) No(2)