A₁ alone can complete a piece of work in 14 days, A₂ alone can complete the same work in 21 days, while A₃ alone can complete the same work in 28 days. The three worked together, completed the work, and received a total payment of ₹1,040 for doing the work. What is A₂'s share in the total payment received?

₹320

A = 14 days,

B = 21 days,

C = 28 days,

⇒ Total payment received by A1 + A2 + A3 to complete the work = Rs. 1040.

⇒ (6 + 4 + 3)x = 1040

⇒ 13x = 1040.

⇒ x = Rs. 80

Therefore, A2's share = 4 x 80 = Rs. 320.