A alone can do a piece of work in 9 days and B alone in 18 days. A and B undertook to do it for Rs. 3600. With the help of C, they completed the work in 4 days. How much is to be paid to C? A) Rs. 1200 B) Rs. 1600 C) Rs. 1000 D) Rs. 800

• A's one day work=1/9
  B's one day work=1/18
  C's one day work=1/4-(1/9+1/18)= 1/12
  take ratio 1/9:1/18:1/12 =4:2:3
  c's share =3600*(3/9)=1200
• 5 years agoHelpfull: Yes(7) No(0)
• A's one day work=1/9
  B's one day work=1/18
  C's one day work=1/4-(1/9+1/18)= 1/12
  Total rs= 3600
  then C's share will be= (4*1/12*3600) = 1200.
• 5 years agoHelpfull: Yes(4) No(1)
• A)Rs. 1200
  A does 1/9 of job in 1day
  B does 1/18 of job in 1 day
  Both A and B together complete 1/9+1/18 =3/18 of work in 1 day
  With help of C they completed job in 4 days which means they complete 1/4 of job in 1 day
  Out of 1/4 ,3/18 is A and B 's contribution
  By cross multiplication A and B 's share in 3600rs is=(3/18*3600)/0.25=2400
  C s share =3600-2400=1200
• 5 years agoHelpfull: Yes(1) No(1)
• time is inversely proportional to days
  A's work =1/9hrs,
  B's work=1/18hrs,
  C's work=1/x hrs
  A+B+C= 1/4
  1/9+1/18+1/x=1/4
  1/x=1/12 i.e C can complete work in 12 days.
  now ratio of three 1/9:1/18:1/12=4:2:3
  C's share=3/9 (3600)=1200
• 5 years agoHelpfull: Yes(1) No(1)
• ans is 1200
• 5 years agoHelpfull: Yes(0) No(2)
• Ans=1200
  A B A+B+C C
  Time 9 18 4 12
  Rate 4 2 9 3
  Work 36 36 36 36
  
  Total work=LCM(9,18,4)=36
  Rate=Work/time
  Total Rate=36/4=9
  Rate of c=9-(4=2)=3
  multiplicant factor M=3600/9=400
  c took 400*3=1200
• 5 years agoHelpfull: Yes(0) No(0)