6) If a person mixes Rs. 50 kgs of and Rs. 60 kgs of rice and sold them at Rs. 70 kgs and earn a profit of 20% then in what ratio should he mix them?

• for better understanding , lets say the person take X of 50kg and Y of 60kg
  thus his total CP is 50X+60Y
  and SP is 70(X+Y)
  gain = sp - cp
  70(x+y)-(50x+60y)= (20/100)*(50x+60y)
  thus solving the above equation we get, 50x=10y
  hence the required answer is x:y = 1:5
• 9 years agoHelpfull: Yes(29) No(3)
• please read the chapter Alligation..
  Ans. will be 2:3
  average price when mixed(with no profit)=
  70-70*(20/100)=56
  using Alligation equation
  60-56/56-50=x:y i.e x:y=2:3
  ratio 2:3
• 9 years agoHelpfull: Yes(5) No(8)
• cost price of the mixture=70*(100/120)=58.33=58(1/3)
  60-58(1/3)=1(2/3)
  58(1/3)-50=8(1/3)
  Thus the ratio is 1:5
• 9 years agoHelpfull: Yes(4) No(0)
• 60y+50x=70*5/6*(x+y)=>x/y=1/5
• 9 years agoHelpfull: Yes(3) No(0)
• He should Mix them in the ratio: 1:5
• 9 years agoHelpfull: Yes(2) No(1)
• a/q QUES CP=50X+60Y
  ASSUME SP=70(X+Y)
  GAIN=SP-CP
  GAIN%=20%
  20 *(50X+60Y)=70(X+Y)-50X+60Y
  solving th equn we get 1:5ANS
  
• 9 years agoHelpfull: Yes(2) No(0)
• let ratio=x:y
  (50x+60y)*120/100=70(x+y)
  so x/y=1/5
  hence x:y=1:5
• 9 years agoHelpfull: Yes(1) No(0)
• SP=70
  P=20%
  CP=70-(70*20)/100=56
  50 60
  /
  56
  /
  (60-56=4)(56-50=6)
  4 6
  2 3
  ANS: 2:3
• 9 years agoHelpfull: Yes(1) No(0)
• Yes my answer is also 2:3 as explained above using alligation method
  
• 9 years agoHelpfull: Yes(1) No(1)
• The correct answer is 1:5
  
  Those of you who are getting 2:3 by using alligation method, they are doing it wrong--
  70 - 70 * (20 / 100)[profit is always calculated on CP] = 56 is WRONG
  Because the profit is always calculated by multiplying the rate to cost price not to selling price
• 9 years agoHelpfull: Yes(1) No(0)
• the ratio is 1:5
• 9 years agoHelpfull: Yes(0) No(1)
• dearer price=60, cheaper price=50
  mean price=175/3
  ans=1:5
• 8 years agoHelpfull: Yes(0) No(0)