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.23. Gain = 15%.
  
  CP 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
  
  we get x = 12
• 6 years agoHelpfull: Yes(5) No(0)
• SP of 1 kg of mixture=23, gain 15%, so CP=20
  24 18.4
  23
  1.6 4
  
  ratio of prices = ratio of weights
  1.6 : 4 :: x : 30
  i.e..x=12
• 6 years agoHelpfull: Yes(3) No(1)
• mixture price(with 15% profit)=Rs.23
  original mixture price=Rs.20
  24 18.5
  20
  1.60 4
  so the ratio will be 2:5
  2 parts of Rs 24 kg wheat and 5 parts of Rs.18.40 wheat
  if 5 parts =30 kg
  then 2 parts = (30/5)x2,
  therefore answer is 12 kg
• 6 years agoHelpfull: Yes(2) No(0)
• SP of 1 kg of mixture=23, gain 15%, so CP=20
  thus,
  23x+18.40*30*x+30=20
  so x=12
• 6 years agoHelpfull: Yes(1) No(0)