A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A. Rs. 375
B. Rs. 400
C. Rs. 600
D. Rs. 800

• Option B 400
  c's 1 day work =1/3-(1/6+1/8)=1/24
  Ratios of A,B,C works =1/6:1/8:1/24
  4:3:1
  C's share =1/8*3200=400
• 12 years agoHelpfull: Yes(19) No(2)
• C's Day'S Work =1/3-(1/6+1/8);1=1/24
  The ratio Is 1/6:1/8:1/24=4:3:1
  A'S Share=(3200*4/8)=1600,B's Share=(3200*3/8)=1200
  C'S Share=(3200-(1600+1200))=400
  Ans B
• 10 years agoHelpfull: Yes(0) No(1)
• work done by c in 1day=1/24
  a:b:c:=4:3:1
  part of c=3200/8=400
  ans=b
• 9 years agoHelpfull: Yes(0) No(0)
• Lcm(8,6)=24
  one day work of A=3;
  one day work of B=4;
  in three days A & B work together and complete (3+4)*3=21
  so C can do remaining work(3) in three days i.e one day work of C = 1;
  C's share =(C/(A+B+C))*3200
  =(1/8)*3200
  =400
• 6 years agoHelpfull: Yes(0) No(0)