The average weights of three items A, B & C is 500 gm. When another item D is added, the new average becomes 450 gm. If another item E which has weight 60 gm more than D is added, the average of the four items B, C, D & E becomes 500 gm. How much is the weight of item A ?
A)360 gm B)160 gm C)460 gm D)260 gm E)None of these

• (A+B+C)/3=500----A+B+C=1500
  
  (1500+D)/4=450----1500+D=1800-----D=300
  
  D=300 AND E=300+60
  
  (B+C+(D+E=660))/4=500
  
  B+C=1340
  
  (A+1340)/3=500
  
  A=160
  
  
  HENCE OPTION B IS CORRECT
• 3 years agoHelpfull: Yes(0) No(0)
• Ans is 160gm
  let weight of A,B and C respectively be a,b and cgm
  their average weight given is 500gm
  thus,a+b+c=1500-eq(1)
  also,after D is added avg weith becomes 450gm
  let weight of D be d
  thus total weight=
  a+b+c+d=450*4=1800-eqn(2)
  now from (1)
  d=300
  also
  after E is added average of B,C,D and E becomes 500gm
  let weight of E be e
  also given e=d+60
  thus,b+c+d+e=2000-eqn(3)
  on solving,
  1500-a+300+300+60=2000
  a=160gm
  
  I hope it helps
• 3 years agoHelpfull: Yes(0) No(0)