A can finish a task in 15 days and B in 20 days. They take a contract for ₹ 18,000. Assisted by C, they complete the job in 6 days. What is C's share of the money?
Show answer & explanation
Correct answer: C
Explanation
A's 1-day work efficiency = 1/15
B's 1-day work efficiency = 1/20
A + B + C complete the work in 6 days.
Therefore, the combined 1-day work efficiency of the three = 1/6
C's 1-day work efficiency = 1/6 − 1/15 − 1/20
= (10 − 4 − 3)/60
= 1/20
Ratio of work = A : B : C = 1/15 : 1/20 : 1/20
= 4 : 3 : 3
Total ratio = 10
C's share = 3/10 × 18000 = ₹5400