Rs.432 is divided amongst three workers A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much did A get?

• 8 times A’s share = 12 times B’s share = 6 times C’s share
  Note that this is not the same as the ratio of their wages being 8:12:6
  
  In this case, find out the L.C.M of 8, 12 and 6 and divide the L.C.M by each of the above numbers to get the ratio of their respective shares.
  
  The L.C.M of 8, 12 and 6 is 24.
  Therefore, the ratio A:B:C::24/8:24/12:24/6 ⇒ A:B:C::3:2:4
  
  The sum of the total wages=3x+2x+4x=432 ⇒ 9x=432 or x=48.
  Hence A gets 3×48= Rs. 144
• 11 years agoHelpfull: Yes(14) No(0)
• 
  
  8a=12b=6c
  
  and a+b+c = 432
  
  solving for a=144 b= 96 c= 192
• 8 years agoHelpfull: Yes(1) No(2)
• let A`s share is =x, for b =y, for c =z
  now 8x=12y=6z
  from here we can get x:y=3:2 $ y:z=1:2
  so x:y:z=3:2:4
  now A get =(3/9) *432=144(ans)
• 7 years agoHelpfull: Yes(1) No(0)
• Ans: A got 243
  Exp:
  Ratio of A B C are 8:12:72
  Efficiency of A B C r 9, 6, 1
  then A share=432*9/16=243
• 11 years agoHelpfull: Yes(0) No(5)