A completes a piece of work in 3/4 of the time in B does, B takes 4/5 of the time in C does. They got a profit of Rs. 40000 how much B gets?
a)25314b)12545c)12765 d)25451

• c)12765
  
  if c takes 5 days to do work then
  b will take 4 and a will take 3 as given in the question
  now =if they work together then they will work in one day is (1/3+1/4+1/5)
  now to complete that work they take x days then x(1/3+1/4+1/5)=1
  now x=60/47
  now in 60/47 days work done by B is 60/(47*4) = 15/47
  now 15/47 th of profit 40000 is 12765
  
• 11 years agoHelpfull: Yes(33) No(14)
• let c takes x days
  then B takes 4/5*x days,
  then A takes 3/4*4/58x days
  ratio of days for A ,B ,C is 3/5:4/5:1
  therefor, ratio of work= 5/3:5/4:1
  and B's share is (5/4)/(5/3+5/4+1)
  =12765
• 11 years agoHelpfull: Yes(28) No(0)
• let c=x then b=4x/5 and a=3x/5
  their ratio will be 12:15:20
  b's share=15/47*40000=12765
  i.e answer is c
• 11 years agoHelpfull: Yes(21) No(10)
• A:B=3:4 and B:C=4:5
  A:B:C=3:4:5
  so B=4/12*40000=12765 approx
• 9 years agoHelpfull: Yes(10) No(16)
• provide better solution
  
• 10 years agoHelpfull: Yes(3) No(2)
• Let C takes 20 days to complete the work.
  B TAKES 20*4/5=16 DAYS
  A takes 16*3/4=12 days.
  Let total work=LCM(20,16,12)=240
  A's work=240/12=20 unit/days
  B's work=240/16=15 unit/day
  C's work=240/20=12 unit/day
  so,
  A:B:C=20:15:12
  So,B will get
  =(12/47)*40000=12765(Ans c)
  
• 8 years agoHelpfull: Yes(3) No(1)