Mathematics · Time and Work

Amit, Banti, and Chetan can complete a piece of work in 40, 80, and 20 days respectively. They work for a day each in turn i.e. on the first day Amit does it alone, Banti does it alone on the second day, and Chetan does it alone on the third day. After completion of one cycle, the same cycle starts again in the same order and continues till the completion of the work. If they get a total of ₹40,000 on completion of the work and if the wages are to be divided in proportion to the work done by them, find the amount received by Banti.