A can lay a stretch of track in 8 days, B in 10 days. They undertake the work for ₹ 3,600. With C joining them, the job is finished in 4 days. How much should C receive?
Show answer & explanation
Correct answer: B
Explanation
A's 1-day work efficiency = 1/8
B's 1-day work efficiency = 1/10
A and B together = 1/8 + 1/10 = 9/40
Combined 1-day work efficiency of all three = 1/4
C's 1-day work efficiency = 1/4 − 9/40
= 10/40 − 9/40 = 1/40
Work ratio -
A : B : C = 1/8 : 1/10 : 1/40 = 5 : 4 : 1
Total ratio = 10
C's share = (1/10) × 3600 = ₹360