Question : P alone can do work in 10 days, Q alone can do the same work in 15 days and R alone can do the same work in 12 days. They jointly complete the work and earn Rs. 3000. What is the share of R?
Option 1: Rs. 1200
Option 2: Rs. 800
Option 3: Rs. 1500
Option 4: Rs. 1000
Correct Answer: Rs. 1000
Solution :
Let's the rate of work for P, Q, and R as P
r
, Q
r
, and R
r
respectively.
P
r
=
Q
r
=
R
r
=
Ratio of their efficiency P : Q : R =
Share of R =
Hence, the correct answer is Rs.1000.