A can complete a task by himself in 6 days, while B can do it alone in 8 days. Together with C's assistance, they've agreed to finish the work for Rs. 3200. They successfully completed the task in 3 days. What amount should be given to C?
Show answer & explanation
Correct answer: A
Explanation
A's 1-day work efficiency = 1/6
B's 1-day work efficiency = 1/8
Therefore, the combined 1-day work efficiency of all three = 1/3
C's 1-day work efficiency = 1/3 − 1/6 − 1/8
= (8 − 4 − 3)/24
= 1/24
Ratio of work = A : B : C
= 1/6 : 1/8 : 1/24
= 4 : 3 : 1
Total ratio = 8
C's share = 1/8 × 3200 = ₹400