A, B, and C together can complete a work in 10 days. A and B together can do the same work in 12 days. If A, B, and C received ₹9,000 for doing the work together, then what was the share of C from the above amount?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹1,500
Given:
A, B and C can do the work in 10 days
Time taken by A and B to complete the work = 12 days
Wages of A, B and C = ₹9,000
Concept Used:
Total work done = Efficiency × Time
The wages are distributed in the ratio of the respective efficiencies.
Explanation:
Let's assume the total work is 60 units.
A, B, and C can complete a work in 10 days.
The efficiency of A, B and C together = 60/10 = 6 units/day Eq.(i)
A and B together can do the same work in 12 days.
The efficiency of A and B together =60/12= 5 units/day Eq.(ii)
The efficiency of C = Eq. (i) - Eq.(ii)
⇒ 6 - 5
⇒ 1 unit/day
If A, B, and C received ₹9,000 for doing the work together.
Share of C from the above amount = 9000 × 1/6
⇒ 1500
Hence the share of C is ₹1500.