What is B’s share (in ₹)? I: A and B together can complete a piece of work in 12 days. B and C together can complete the same work in 16 days. A and C together can complete it in 24 days. II: A, B and C together complete the entire work and earn a total wage of ₹3600, which is divided among them in the ratio of the work done by each.

ATQ, Let total work = 1. Let daily work rates be a, b, c. From Condition I: a + b = 1/12 …(1) b + c = 1/16 …(2) a + c = 1/24 …(3) Add (1) and (2): a + 2b + c = 1/12 + 1/16 = (4 + 3)/48 = 7/48 Subtract (3): (a + 2b + c) − (a + c) = 7/48 − 1/24 2b = 7/48 − 2/48 = 5/48 b = 5/96 From (1): a = 1/12 − b = 1/12 − 5/96 = 8/96 − 5/96 = 3/96 = 1/32 From (3): c = 1/24 − a = 1/24 − 1/32 = 4/96 − 3/96 = 1/96 So rates: A : B : C = 1/32 : 5/96 : 1/96 Multiply all by 96: A : B : C = 3 : 5 : 1 Total parts = 3 + 5 + 1 = 9 Total wage = ₹3600 B’s share = (5/9) × 3600 = 5 × 400 = ₹2000