P, Q, Rare employedto do a work forRs.5750. P and Q together finished$$\frac{19}{23}$$ of work AND Q and R together finished $$\frac{8}{23}$$ of work. Wage of Q, in rupees, is

Given that P, Q & R are employed for a work of Rs.5750

i.e.., wages for P,Q & R is P+Q+R = 5750

Let's consider this total wages as x

Given that  P and Q together finished$$\frac{19}{23}$$ of work

i.e.., wages paid for P & Q is P+Q = $$\frac{19}{23}$$x=4750 ----(1)

Also, Given that Q and R together finished $$\frac{8}{23}$$ of work

i.e.., wages paid for Q & R is Q+R = $$\frac{8}{23}$$x= 2000 ----- (2)

Adding equations (1) & (2), we get

=> P+Q+Q+R= 4750+2000

=> 5750+Q=6750

=> Q=1000