Question : A can do the same work in 8 days, B can do the same work in 10 days, and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs. 7400, what is the share (in Rs.) of B?
Option 1: 2600
Option 2: 3000
Option 3: 2400
Option 4: 2000
Correct Answer: 2400
Solution :
Let total work to be done = LCM (8, 10, 12) = 120 units
A can do the work in 8 days.
⇒ A's efficiency = $\frac{120}{8} = 15$ units/day
Similarly, B's efficiency = $\frac{120}{10} = 12$ units/day
and C's efficiency = $\frac{120}{12} = 10$ units/day
Total amount to be paid = Rs. 7400
$\therefore$ B's share $=\frac{12}{15+12+10}×7400=2400$
Hence, the correct answer is 2400.
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