Ashok and Anil undertake to do a piece of work for ₹4,500. Ashok alone could do the work in the 8 days and Anil in 12 days. With the assistance of Amar, they finished the work in 4 days. What is the share of Amar?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. ₹750.
Given that, Time taken by Ashok alone to complete the work = 8 days
Time taken by Anil alone to complete the work = 12 days
Time taken by Ashok, Anil and Amar to complete the work = 4 days
Let the total work to be done LCM(8, 12, 4) be 24 units.
Total work = Efficiency × Time
Efficiency of Ashok = = 3 units/day
Efficiency of Anil = = 2 units/day
Efficiency of Ashok, Anil and Amar together = = 6 units/day
Now, efficiency of Amar = 1 unit/day
The wages are divided in the ratio of the efficiencies.
The share of Amar can be calculate as:
Share of Amar = = 750
Hence the share of Amar is ₹750.