A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for Rs.5400. They begin the work together but B left 2 days before the completion of work and C left 5 days before the completion of work. The share of A from the assured money is
Correct Answer: Description for Correct answer:
Let the number of days to complete the work be x.
According to the question,
\( \Large \frac{x}{20} \) + \( \Large \frac{x-2}{24} \) + \( \Large \frac{x-5}{30} \) = 1
= \( \Large \frac{6x+5 \left(x-2\right)+4 \left(x-5\right) }{120} = 1 \)
= \( \Large 6x +5x+4x = 120+10+20 \)
= 15x = 150
Therefore, x = 10
Therefore, Work done by A = \( \Large \frac{10}{20} = \frac{1}{2} \)
Therefore, Share of A from the assured money = \( \Large \frac{1}{2} \times 5400 \) = Rs.2700
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