lexus car agency has 108 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?

• By alligation method of mixtures,
  
  ratio of 36% profit cars to 9% profit cars = 8:19
  so no. of cars sold at 36% profit = 108*8/27= 32 cars
• 12 years agoHelpfull: Yes(32) No(16)
• Total cars=108
  Let cars sold for 9% profit be x
  So,cars sold for 36% profit is (108-x)
  Then x*(109/100)+(108-x)*(136/100)=108*(117/100)
  // ist type iind type total
  on solving x=76
  so 108-x=32
• 11 years agoHelpfull: Yes(10) No(1)
• not satisfied with this solution so think differently garima u have that capability k na
  
• 12 years agoHelpfull: Yes(3) No(4)
• Let the CP of 1 car=y
  So, CP of 108 cars=108y
  SP of 108 cars=108x * (117/100)
  Let the no. of cars with 9% profit be=y
  Then no. of cars with 36% profit=108-y
  SP of y cars (with 9% profit)=x*y*(109/100)
  SP of (108-y) cars (with 36% profit)=(108-y)*x*(136/100)
  SP of 108 cars=SP of y cars + SP of (108-y) cars
  -->108x*(117/100)=xy*(109/100)+(108-y)x*(136/100)
  on solving x cancels from LHS and RHS
  and y=76
  So, no of cars with 36% profit=108-y=108-76=32
  
• 9 years agoHelpfull: Yes(0) No(0)