a sum of rs 300 was paid for a work that a can do in 32 days,b in 20 days,c in 12 days and d in 24 days how much did c receive if all the 4 work together

• a's one day work=1/32,
  b's one day work=1/20,
  c's one day work=1/12,
  d's one day work=1/24,
  a's share:b's share:c's share:d's share=1/32:1/20:1/12:1/24
  the lcm of all number is 480
  then after taking lcm the ratio become
  15:24:40:20
  c's share=40*300/99=121.21
  so c will recieve 121(approx) rupees
• 12 years agoHelpfull: Yes(7) No(3)
• some part of the question is missing.....the original question is.....
  
  Q:A sum of rs 300 was paid for a work that a can do in 32 days,b in 20 days,b and c in 12 days and d in 24 days. How much did c receive if all the 4 work together?
  
  Ans:
  a's one day work=1/32,
  b's one day work=1/20,
  b and c's one day work = 1/b + 1/c = 1/12
  1/20 + 1/c = 1/12
  1/c = 1/30
  therefore c's one day work = 1/30
  and d's one day work = 1/24
  so there share ratio is....
  a:b:c:d = 1/32:1/20:1/30:1/24
  the lcm of all no is 480. Then after taking lcm the ratio becomes....
  a:b:c:d = 15:24:16:20
  so c's share = 300*16/75 = 64
  so c will get 64 rupees.
  
  
• 10 years agoHelpfull: Yes(3) No(0)
• a's one day work=1/32,
  b's one day work=1/20,
  c's one day work=1/12,
  d's one day work=1/24,
  
  a's share:b's share:c's share:d's share=1/32:1/20:1/12:1/24
  L.C.M will be 1440
  So, the ratio will become 45:72:48:60
  
  c's share = 48/(45+72+48+60)*300= 64
  
  So, C will receive Rs 64....
• 11 years agoHelpfull: Yes(1) No(0)