A ek kam 24 din me ,B vhi kam 72 din me pura krta he.dono sath me kam shuru krte he.6 din kam krne krne bad C unko aake mil jata h ir tino milakr 8 din me kam pura krte he.pure kam ke unko 72000rs milte h to usme C ka hissa kitna hoga?
Answers
work done by A in one day= 1/24
work done by B in one day= 1/72
work done by both A and B in one day= 1/24+1/72
= (3+1)/72= 4/72= 1/18
work done by both in 6 days
= 1/18 ×6
= 1/3
total work=1
work left= 1-1/3 =( 3-1)/3 = 2/3
Now 1/3 of total wage72000= 72000×1/3= 24000
which is the wage of A and B for the 6 days work.
remaining = 72000-24000= 48000
which is to be divided among A,B and C
we know that A+B work per day= 1/18
let C work per day= 1/C
therefore, their work in 8 days is
(1/18+ 1/C)8= 2/3
(C+18)/18C=2/24
(C+18)24= 36C
(C+18)2=3C
2C+36=3C
36=C
Now, work ratio= 1/24: 1/72: 1/36
let 1/24x ,1/72x and 1/36x be the respective work
1/24 x+ 1/72 x + 1/36x= 48000
( 3x+x+2x)/72= 48000
6x= 48000×72
x= 8000×72 = 576000
A share = 1/24× 576000= 1/3× 72000= 24000(excluding the first work)
B share= 1/72× 576000= 1/9× 72000= 8000(excluding the first work)
C share= 1/36× 576000= 1/4× 64000= 16000