A and B undertaken to do a piece of work for ₹ 1200. A alone can do it in 8 days, while B can do it in 6 days. With the help of C, they complete it in 3 days. Find Cs share.

According to the question. 1/A + 1/B + 1/C= 1/3 ⇒ 1/8 + 1/6 + 1/C = 1/3 ⇒ 1/C = 1/3 - (1/8 + 1/6) = 1/24 ∴ Ratio in share of A, B and C = (1/8) : (1/6) : (1/24) = (3/24) : (4/24) : (1/24) = 3 : 4 : 1 ∴ Cs share = 1 / 3 + 4 + 1 x 1200 = ₹ 150