A and B together are supposed to do $$\frac{13}{15}$$ of the work and B and C together $$\frac{11}{20}$$ of the work. If the difference of wages of A and C is ₹7600, then the total wages of A and C is:

Let's assume the total work is 60 units.

A and B together are supposed to do $$\frac{13}{15}$$ of the work.

Work done by A and B together = $$60\times\frac{13}{15}$$ = 52 units.    Eq.(i)

So the remaining work will be done by C which is equal to (60-52) = 8 units.

B and C together $$\frac{11}{20}$$ of the work.

Work done by B and C together = $$60\times\frac{11}{20}$$ = 33 units.

From the above, we know that work done by C is 8 units. So the work done by B = 33-8 = 25 units

From Eq.(i), work done by A and B together is 52 units.

work done by A = 52-25 = 27 units

If the difference of wages of A and C is ₹7600

27 units - 8 units = 7600

19 units = 7600

1 unit = 400

Total wages of A and C = $$(27+8)\times400$$

= $$35\times400$$

= ₹14000