QA – Placement Quizzes | Work and Wages | Question 14

Two friends A and B take a job for Rs. 10000. Had they worked alone, A would have taken 20 days while B would have taken 30 days. They started working together but after 10 days, A left and B completed the remaining work alone. Find the difference between their share.
(A) 0
(B) 1000
(C) 2000
(D) 5000


Answer: (A)

Explanation: Let the total job be LCM (20, 30) = 60 units
=> Efficiency of A = 60/20 = 3 units / day
=> Efficiency of B = 60/30 = 2 units / day
Now, since they work for different number of days, the amount of Rs 10,000 would be divided in the ratio of units of work done.
 
Work done by A in 10 days = 30 units
Work done by B in 10 days = 20 units
Work left = 60 – 30 – 20 = 10 units
This 10 units of leftover work was done by B alone.
 
Therefore, total work done by A = 30 units
Total work done by B = 20 + 10 = 30 units
 
Hence, ratio of share in amount = 30 : 30 = 1 : 1
=> Each would be getting Rs 5000.
Thus, difference in share = 0

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