Question
Ravi and Rekha, alone can complete a work in 25 days and
50 days, respectively. They started the work together and left after 10 days such that the remaining work is completed by Rohan alone in 5 days. If the total wage fixed for completing the work is Rs. 300, then find the share received by Rohan.Solution
Let total work = 50 units {LCM of 25 and 50} So, efficiency of ‘Ravi’ = (50/25) = 2 units/day Efficiency of ‘Rekha’ = (50/50) = 1 unit/day Amount of work done by Ravi in 10 days = 2 × 10 = 20 units Amount of work done by Rekha in 10 days = 1 × 10 = 10 units Amount of work done by Rohan = 50 – (20 + 10) = 20 units Ratio of amount of work done by Ravi, Rekha and Rohan = (20 : 10 : 20) = (2 : 1 : 2) Required wages of Rohan = {2/(2 + 1 + 2)} × 300 = Rs. 120
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