How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by Belling the mixture at Rs. 7.20 per kg ?

• question ir wrong....the price 6.40 shuld be less than 6...only thn it can b solve
  
• 11 years agoHelpfull: Yes(18) No(1)
• Ex. 4. .How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by Belling the mixture at Rs. 7.20 per kg ?
  
  Sol. S.P. of 1 kg mixture = Rs. 7.20,Gain = 20%.
  ? C.P. of 1 kg mixture = Rs.[(100/120)*7.20]=Rs. 6.
  By the rule of alligation, we have:
  C_P. of 1 kg wheat of 1st kind C.P. of 1 kg wheat of 2nd kind
  (800p) . (540 p)
  
  
  Mean price
  ( 600 p)
  
  
  60 200
  
  Wheat of 1st kind: Wheat of 2nd kind = 60 : 200 = 3 : 10.
  Let x kg of wheat of 1st kind be mixed with 36 kg of wheat of 2nd kind.
  Then, 3 : 10 = x : 36 or lOx = 3 * 36 or x = 10.8 kg.
  
• 11 years agoHelpfull: Yes(10) No(9)
• question is wrong when we take Rs 6.40 ans comes negative but when we take Rs 5.40 i.e less then 6 we get this solution
  
  
  Sol. S.P. of 1 kg mixture = Rs. 7.20,Gain = 20%.
  ? C.P. of 1 kg mixture = Rs.[(100/120)*7.20]=Rs. 6.
  By the rule of alligation, we have:
  C_P. of 1 kg wheat of 1st kind C.P. of 1 kg wheat of 2nd kind
  (800p) . (540 p)
  
  
  Mean price
  ( 600 p)
  
  
  60 200
  
  Wheat of 1st kind: Wheat of 2nd kind = 60 : 200 = 3 : 10.
  Let x kg of wheat of 1st kind be mixed with 86 kg of wheat of 2nd kind.
  Then, 3 : 10 = x : 36 or lOx = 3 * 36 or x = 25.8 kg
• 11 years agoHelpfull: Yes(10) No(1)
• correct Q is......
  How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 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 ?
  Ans: 25.8
• 11 years agoHelpfull: Yes(8) No(3)
• question is wrong after solving ans comes out to be negative
• 11 years agoHelpfull: Yes(7) No(1)
• question is wrong ..
• 11 years agoHelpfull: Yes(4) No(1)
• wrong question
  
• 11 years agoHelpfull: Yes(3) No(1)
• x kg of wheat costs =x*8=8x rs
  a/c to q,
  total cost price of wheat and rice=8x+(86*6.40)
  sp of mixture so that 20% gain can be achieved=(x kg wheat+86kg rice)*7.20
  therefore frm d q,
  cp+20%of cp=sp with 20% gain
  (8x+86*6.40)+(20/100(8x+86*6.40))=(x+86)*7.20
  =>(8x+550.4)(1+20/100)=7.2x+610.2
  =>(8x+550.4)*1.2=7.2x+610.2
  =>9.6x +660.48=7.2x+610.2
  =>2.4x=-50.28
  =>x=-20.95
  clearly x cannot be negative.So q is wrong
  correct q shud be .....so that 20%loss is obtained...
• 11 years agoHelpfull: Yes(3) No(0)
• Selling Price(SP) of 1 Kg mixture= Rs. 7.20/kg
  
  Profit = 20%
  
  Cost Price(CP) of 1 Kg mixture= 100/(100+Profit%)×SP=100/(100+20)×7.20=100/120×7.20=72/12=Rs.6
  
  
  By the rule of alligation, we have
  
  CP of 1 kg wheat of 1st kind CP of 1 kg wheat of 2nd kind
  Rs. 8 Rs. 6.40
  Mean Price
  Rs.6(CP)
  6.4 - 6 = 0.4 8 - 6 = 2
  ie, to get a cost price of 6, the wheat of kind1 and kind2 should be mixed in the
  
  ratio 0.4 : 2 = 4 : 20 = 1 : 5
  
  Let x Kg of kind1 wheat is mixed with 86 kg of kind2 wheat
  
  then x : 86 = 1 : 5
  
  x/86=1/5
  
  x=86/5
  
  x=17.2kgs of wheat must be mixed.....
• 9 years agoHelpfull: Yes(2) No(1)
• correct Q is......
  How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice costing Rs. 5.40 per kg so that 20% gain may be obtained by Selling the mixture at Rs. 7.20 per kg ?
  Ans: 25.8
• 9 years agoHelpfull: Yes(1) No(0)
• I didn't get the mean price....pls someone help me understand it.
• 7 years agoHelpfull: Yes(0) No(0)