How many kgs of wheat costing Rs.24/- per kg must be mixed with 30 kgs of wheat costing Rs.18.40/- per kg so that 15% profit can be obtained by selling the mixture at Rs.23/- per kg?

• S.P. of 1 kg mixture = Rs.23Gain = 15%.
  C.P. of 1 kg mixture = Rs.[(100/115)*23]=Rs.20
  By the rule of alligation,
  C_P. of 1 kg wheat of 1st kind C.P. of 1 kg wheat of 2nd kind
  Rs. 24 Rs.18.40
  mean price=Rs.20
  
  (20-18.40=1.60) (24-20=4)
  
  
  Wheat of 1st kind : Wheat of 2nd kind = 1.60 : 4
  Let x kg of wheat of 1st kind be mixed with 30 kg of wheat of 2nd kind.
  Then, 1.6:4=x:30
  ==>x=(1.6*30)/4=12 kg
• 9 years agoHelpfull: Yes(7) No(1)
• S.P. of 1 kg mixture = Rs.23Gain = 15%.
  C.P. of 1 kg mixture = Rs.[(100/115)*23]=Rs.20
  let x kg needs to mix
  so 24x + 30*18.4 = 20(30+x)
  => 24x + 552 = 600 + 20x
  =>4x = 48
  => x = 12
• 5 years agoHelpfull: Yes(4) No(0)
• Ans will be 12...
  let we are mixing x kg of rs 24...so price is=24x+30*18.40=24x+552
  the the net weight becomes=30+x
  15% profit ..
  then (115/100)(24x+552)=23*(30+x)
  from this equation solve x and the ans will be 12 kg
  
  
• 9 years agoHelpfull: Yes(3) No(2)
• S.P. of 1 kg mixture = Rs.23. Gain = 15%.
  C.P. of 1 kg mixture = Rs.[(100/115) x 23] = Rs.20
  Let the quantity of wheat costing Rs.24 is x kgs.
  Using weighted average rule = x ×24+30×18.4 x +30=20 Solving we get x = 12
• 6 years agoHelpfull: Yes(0) No(3)