How many kgs. of wheat costing Rs. 5 per kg must be mixed with 45 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by selling the mixture at Rs. 7.20 per kg ?

• answer = 18
  soloution :-
  x kg of wheat costs =x*5=5x rs
  a/c to q,
  total cost price of wheat and rice=5x+(45*6.40)
  sp of mixture so that 20% gain can be achieved=(x kg wheat+45kg rice)*7.20
  therefore frm d q,
  cp+20%of cp=sp with 20% gain
  (5x+45*6.40)+(20/100(5x+45*6.40))=(x+45)*7.20
  x= 18 kg answer
  x=18
  
• 11 years agoHelpfull: Yes(43) No(2)
• Let x kg's of wheat be added.
  So,
  1.20(45*6.40 +x*5) = 7.20 ( 45+x)
  => 1.20*x = 21.6
  => x = 18 kg of wheat.
• 11 years agoHelpfull: Yes(23) No(2)
• 18kg
  
  Mean price=(7.2*100)/120=6 Rs
  Ratio of wheat to rice= (0.4):1 = 2:5
  
  2:5 :: x:45
  
  5x=90
  x=18 kg
• 11 years agoHelpfull: Yes(16) No(1)
• S.P of 1kg mixture=7.20,gain=20%
  C.p of 1kg mixture=(100/120)*7.20=6rs
  By alligation,
  The ratio of 1st & 2nd kind of wheat becomes=2:5
  Let x kg of 1st king be mixed with 45kg of wheat of 2nd kind.
  Then,2:5=x:45
  x=18kg ans
• 11 years agoHelpfull: Yes(4) No(0)
• by alligation rule
  wheat cost per kg rice cost per kg
  5 6.40
  mix. cost per kg
  6 (20% gain means 6 cp)
  0.40 (6.40-6) 1 (6-5)
  
  let x kg of wheat is mixed then their ratio is
  x 45
  so
  0.40/1=x/45
  solve we get x=18 (ans)
• 11 years agoHelpfull: Yes(2) No(0)
• by allegation theoerm
  5 6.40 rs
  6(cp of the mixture)
  2 5
  ratio of wheat to rice 2:5
  total mixture 5*45/7=63
  so wheat in kg 63-45= 18kg ANS
  
• 11 years agoHelpfull: Yes(1) No(0)
• ans- 63
  100/120*7.20=6 cp
  1.40/1=x/45
  x=63.o
• 11 years agoHelpfull: Yes(0) No(17)