Question

Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is​

Answer 1

Given that Amal can complete a job in 10 days ⟹ Rate = 1/10

Bimal can complete it in 8 days ⟹ Rate = 1/8

Amal, Bimal and Kamal together complete the job in 4 days ⟹ Rate = 1/4

Kamal's rate of doing work is,

Amal + Bimal + Kamal = 1/4

⟹ 1/10 + 1/8 + Kamal = 1/4

⟹ Kamal = 1/4 - 1/8 − 1/10

⟹ Kamal = 10/40 - 5/40 − 4/40

Kamal’s rate of doing work = 1/40

Kamal would have taken 40 days to complete the entire task.

Amal : Bimal : Kamal = 1/10 : 1/8 : 1/40 = 4 : 5 : 1

Total amount of Rs.1000 is paid as remuneration

Amal : Bimal : Kamal = 4/10 : 5/10 : 1/10

Kamal’s share = 110 × 1000 = Rs.100

Answer

100 Rs