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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


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

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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