H,R,K working alone can do a piece of work in 9,8 and 6 days resp. They jointly finish the work and earn Rs. 522. The earning should be divided in the ratio.
a. 6:9:8
b. 9:8:6
c. 8:9:12
d. 6:8:9
e. 7:8:9

• c. 8:9:12
  
  Payment should be in ratio of work done by each per day.
  i.e
  ratio of earning will be
  1/9 : 1/8 : 1/6
  or
  8:9:12
• 11 years agoHelpfull: Yes(11) No(0)
• Lets calculate the work done by them individually in one day.
  In 9 days, H can do 1 work.
  Therefore, In 1 day , H can do 1/9 work.
  
  In 8 days, R can do 1 work.
  Therefore, In 1 day , H can do 1/8 work.
  
  In 6 days, K can do 1 work.
  Therefore, In 1 day , H can do 1/6 work.
  
  So, proportion of work done by H,R,K is (1/9):(1/8):(1/6)
  =>(72/9):(72/8):(72/6) [since, L.C.M of (9,8,6)= 72 so multiplying 72]
  =>8:9:12
  
  Ans: C.
• 11 years agoHelpfull: Yes(8) No(1)
• since H is doing more work it has more earningthan R and K
• 11 years agoHelpfull: Yes(0) No(2)
• 8:9:12
  23/(9*522):23(8*522):23/(6*522)
• 11 years agoHelpfull: Yes(0) No(0)
• let x
  x/9 + x/8 + x/6 =522
  =>x=1296
  then x/8 * 1296=144 x/9 * 1296=162 x/6 * 1296=216
  144:162:216
  =8:9:12
  
• 11 years agoHelpfull: Yes(0) No(0)