A, B and C, working alone can do a piece of work in 15, 30 and 75 days respectively. They work together and get ₹ 1615 for completing the work. Whatis the difference in shares of A and C?

A = 15 days

B = 30 days

C = 75 days

Total work = lcm (15,30,75)

                   = 150

A's efficency =10

B's efficency=5

C's efficency= 2

The share of each person is decided by the fraction of work done.

A's share = $$\dfrac{e_A \times T}{T(e_A +e_B+e_C)} \times 1615$$ 

Since everyone works for an equal number of days we can cancel T.

A's share = $$\dfrac{10 }{17} \times 1615$$

C's share = $$\dfrac{2}{17} \times 1615$$

Difference in shares Of A and C =$$\dfrac{8}{17}\times1615$$

= Rs 760