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Question:

Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal’s share, in rupees, is

Explanation:

In one day, Amal, Bimal and Kamal complete $\frac{1}{4}$ of the work.

In one day, Amal and Bimal complete $\frac{1}{10} + \frac{1}{8} = \frac{4 + 5}{40} = \frac{9}{40}$ of the work.

So amount of work done by Kamal alone in one day is $\frac{1}{4} - \frac{9}{40}$ = $\frac{1}{40}$ of the work

∴ Fraction of work done by Kamal in 4 days = 4 × $\frac{1}{40}$ = $\frac{1}{10}$

⇒ Amount received by Kamal will be 1/10th of total amount = 1/10 × 1000 = Rs. 100

Hence, option (a).

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