A, B and C are employed to do a piece of work for Rs. 5,290. A + B and B + C are supposed to do \(\frac{19}{23}\) and \(\frac{8}{23}\) of the work respectively. Then A should be paid?

3,450

A + B + C = 5290

Let the total work = 23 Units

     A + B = 19

     B + C =  8     

A + 2B + C = 27     

(But the work is only 23 Units, hence 4 units work is done by B)

From here we can get the work done by A & C.

A + B = 19

A + 4 = 19 ⇒ A = 15

A should be paid → \(\frac{15}{23}\) × 5290 = Rs. 3450