Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complet

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

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Accepted Answer

100. Let the time take by kamal to complete the task be x days. Hence we have 1 10 + 1 8 + 1 x = 1 4 \frac{1}{10} + \frac{1}{8} + \frac{1}{x} = \frac{1}{4} 10 1 ​ + 8 1 ​ + x 1 ​ = 4 1 ​ => x = 40 days. Ratio of the work done by them = 1 10 : 1 8 : 1 40 \frac{1}{10} : \frac{1}{8} : \frac{1}{40} 10 1 ​