P,Q and R can complete a job in 6 days, 9 days and 12 days, respectively. They worked together and completed it. They earned a total of Rs. 2600. Find P's share ( in Rs.)

Options

A. 1350
B. 1500
C. 9000
D. 1200

Answer

D

Explanation

Let the time taken to complete the job be x days.
Parts of the job complete by P,Q and R each day are `(1)/(6)-(1)/(9) and (1)/(12)` respectively
Parts of the job completd by P,Q and R are `x((1)/(6)),x((1)/(9)) and x((1)/(12))` respectively.
Ratio of the parts of the job completed by P,Q and `R=(x)/(6):(x)/(9):(x)/(12)=(1)/(6):(1)/(9):(1)/(12)=6:4:3`
`:.` Ratio of the shares of P,Q and R = `6:4:3`
`:.` P's share `=(6)/(6+4+3) (Rs.2600)`
`Rs. 1200`