If A can do a particular work in 8 days. B can do the work in 6 days. By C joining with them, they can finish the work in 3 days. If Rs.540 was paid to them, what is the share of C?

• If A can do a particular work in 8 days. B can do the work in 6 days. By C joining with them, they can finish the work in 3 days.
  A's one day work = 1/8
  B's one day work = 1/6
  C's one day work = 1/3 - 1/8 - 1/6 = 1/24
  
  Their payment will be in ratio of
  1/8 : 1/6 : 1/24
  or
  3:4:1
  
  From total of Rs 540, share of C = 540*1/8 = Rs 67.5
• 13 years agoHelpfull: Yes(32) No(8)
• A can do the work in 1 day=1/8;
  B can do the work in 1 day=1/6;
  so, A+B+C= 1/3;
  1/8 + 1/6 + C= 1/3;
  C= 1/3 - 1/6 - 1/8;
  therefore, C= 1/24 (in one day)
  total share is 540/-
  C's share = 1/24 * 540
  C's share = 22.5/-
  
  A's share = 1/8 * 540 = 67.5/-
  B's share = 1/6 * 540 =90/-
• 8 years agoHelpfull: Yes(0) No(4)