Find the quantities of two types of rice to be mixed, first variety is of Rs.12 per kg and second variety is of Rs.20 per kg. to get 12kg of rice mixture worth Rs.15 per kg? (in kg)

a. 3.5, 8.5
b. 7, 5
c. 7.5, 4.5
d. 8, 4

• Ans: Option c.
  from allegation & mixture ratio=c-m/m-d=20-15/15-12=5/3.
  from the option c r=7.5/4.5=5/3
  
• 8 years agoHelpfull: Yes(15) No(2)
• the problem can be done by alligation and mixture method
  
  cost of dearer cost of cheaper
  
  20 12
  
  
  
  15
  
  
  3 (difference 5 ( difference between 20 and 15)
  between 12 and 15)
  
  The ratio of the required mixture is 3 parts of 20rs/kg rice an 5 parts of 12rs/kg rice- TOTAL PARTS is 5+3=8
  amount of 20rs/kg rice = 12*(3/8)=4.5kg
  amount of 12rs/kg rice = 12*(5/8)=7.5kg
  
• 8 years agoHelpfull: Yes(3) No(0)
• option:c
  12x+20y=180
  =>3x+5y=45(on cancellation by 4)
  on substituing x=7.5,y=4.5 ,this condition will be proved
  let x and y be the number of kgs of rs.12 and rs.20 respectively,.
  then from given information their sum would be equal to 12 kg mixture which costs rs.15 per kg
• 8 years agoHelpfull: Yes(1) No(2)