Eesha bought two varities of rice costing 50Rs per kg and 60 Rs per kg and mixed them in some ratio.Then she sold that mixture at 70 Rs per kg making a profit of 20 % What was the ratio of the micxture?

• let x be the price of the rice after mixing,then
  120*x/100=70
  x=175/3 by eligation method
  the required ratio is(60-175/3):(175/3-50)=1:5
• 11 years agoHelpfull: Yes(78) No(12)
• let x beet the mixture
  the mixture cp is:
  x*120/100=70
  x=70*100/120=58.33
  according to tlaw of alligation rule=cost of 50kg/cost of 60kg
  =(58.33-50)/(60-58.33)
  =1/5(approx)
• 10 years agoHelpfull: Yes(18) No(3)
• let 50rs rice will be .x gram then remaining 1-.x of 60rs
  .x*50+(1-.x)*60=56
  so x=400gm and remaining 600
  then ans is 4/6=2/3
• 11 years agoHelpfull: Yes(10) No(11)
• Ans:1:4
  Assume x kg rice costing 50Rs per kg and y kg rice costing 60Rs per kg
  SP=70
  p=20% then CP=70/(1+.2)=175/3
  
  (50x+60y)/(x+y)=175/3
  150x+180y=170x+175y
  20x=5y
  x/y=1/4
  
• 11 years agoHelpfull: Yes(10) No(19)
• s.p of 1 kg of mixture is 70 rs
  he want to make 20% profit therefore c.p of 1kg of mixture is 80/100(70)=56
  by the method of allogation required ratio = 60-56/(56-50)=4/6=2/3
• 11 years agoHelpfull: Yes(8) No(8)
• SP=70 RS/KG,P%=20,so CP of one kg mixture is 175/3
  by alligation,
  
  CP1=50 RS/KG CP2=60 RS/KG
  
  CP OF MIX=175/3 RS/KG
  
  (60-175/3)= 5/3 (175/3 - 50)=25/3
  RATIO IS 1:5
  
  
• 10 years agoHelpfull: Yes(6) No(0)
• 120/100(50x+60y)=70*(x+y);
  2y=10x;
  so x:y=1:5.
• 9 years agoHelpfull: Yes(6) No(0)
• let 50kgs rice quantity be x
  let 60 kgs rice quantity be 100-x
  profit is 20% => 1.2 times of actual cost
  so
  1.2[50*x + 60*(100-x)]=70*100
  by solving the equation
  u will get x and y(rest of kgs)
  by diving x/y u will get the ratio
• 11 years agoHelpfull: Yes(3) No(1)
• She sold for 70 Rs per kg making a profit of 20%.
  Ratio will be the profit %=20/100=1/5 => 1:5.
• 5 years agoHelpfull: Yes(3) No(0)
• profit %=20/100=1/5 => 1:5
• 5 years agoHelpfull: Yes(2) No(2)
• these question is a combination of average and allegation
  we have two products one is 50 rs./kg nad other is 60rs./kg
  seels price is 70 (including 20% profit )
  so th cost price of mixture would have been = 58.33 rs/kg
  now apply allegation
  50-58.33=8.33
  58.33-60=1.67
  it means the ratio is 8.33:1.67
  as ratio should be in integers it would be 5:1 ans.
• 10 years agoHelpfull: Yes(1) No(1)
• Selling price of the mixture = 70 and profit = 20%
  
  Cost price of the mixture = 70×100/120=70×5/6
  By applying alligation rule:
  
  50(least price) 60(high price)
  70 x (50/60) (new price *(least*high)
  60-(175/3) : (175/3)-50
  
  So ratio = 60−(175/3) : (175/3)-50
  = 1 : 5
• 6 years agoHelpfull: Yes(0) No(0)
• let 'x' be the quantity of rice of first variety and 'y' be the same of second variety
  then to find the cost price of that mixture ..let cp be the cost price
  then cp+0.2cp=70
  then cp=58.33``
  therefore the mixture can now be expressed in the terms of equation as
  (50x+60y)/(x+y)=58.33 - - - - - - - >>>(total cost of rice)/(total quantity of rice) "cost per kg of total rice" =cost price per kg of mixture
  thus 50x+60y=58.33x+58.33y
  1.67y=8.33x
  x/y=1.67/8.33=`1/5---------------->>>>>>>1:5 is the answer
• 6 years agoHelpfull: Yes(0) No(0)
• Ans: 1:5
  
  Explanation: SP of mix=70
  Profit%=20
  CP=x(say)
  So, x+20%x=70
  or, x=175/3
  
  By link up method,
  50 60
  (175/3)
  
  (5/3) (25/3)
  [Find the difference by crossing the values and calculate the ratio]
  
  (5/3):(25/3)
  =1:5
• 5 years agoHelpfull: Yes(0) No(0)
• let x be the price of the rice after mixing,then
  120*x/100=70
  x=175/3 by eligation method
  the required ratio is(60-175/3):(175/3-50)=1:5
• 5 years agoHelpfull: Yes(0) No(0)