A shopkeeper purchases two varieties of rice, the price of the second kind being 50% more than that of the first . He mixes the rice and sells the mixture for 27.84 per kg and earns a profit of 16%. if the ratio of the to the second is 3:2 in the mixture , find the purchasing price of the costlier variety of rice?

• Rs 30/kg.
  
  Let cost price per/kg (in Rs.) of first variety=x then second variety=(150/100)x=3x/2
  When 3 kg of first variety and 2 kg of second variety are mixed and sold, then average price/kg=
  [3x + 2*(3x/2)]/(3+2) = 27.84*(100/116)
  => 6x/5 = 24 or x=20
  So purchasing price of the costlier variety=3x/2= 3*20/2=30 Rs.
• 8 years agoHelpfull: Yes(3) No(1)
• Rs.30/unit?
• 8 years agoHelpfull: Yes(0) No(0)
• First rice = 2x
  Second rice = 2x + x( 50% grtr than first) = 3x
  
  Sp = 27.84
  Profit = 16
  Apply formula cp = 100*sp/100 + profit
  Cp = 24
  
  Ratio = 3:2
  
  Second rice = 3x *2/5. = 24
  X = 15
  3x = 45 is the ans
• 7 years agoHelpfull: Yes(0) No(0)