Question : Ashok and Anil undertook to do a piece of work for INR 4,500. Ashok alone could do the work in 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?
Option 1: INR 1,500
Option 2: INR 750
Option 3: INR 2,250
Option 4: INR 2,500
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Correct Answer: INR 750
Solution :
Given: Ashok alone can do the work in 8 days.
Anil alone can do the work in 12 days.
LCM of (8, 12) = 24
Let the total work be 24 units.
Efficiency of Ashok = $\frac{24}{8}$ = 3
Efficiency of Anil = $\frac{24}{12}$ = 2
With the assistance of Amar, they finished the work in 4 days.
Efficiency of Ashok, Anil, and Amar combined = $\frac{24}{4}$ = 6
Efficiency of Amar = 6 – (3 + 2) = 1
Efficiency ratio of Ashok : Anil : Amar = 3 : 2 : 1
Share of Amar = $\frac{1}{6}$ × 4500 = INR 750
Hence, the correct answer is INR 750.
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