Question
Karan and Kavya, alone can complete a work in 16 days
and 24 days, respectively. They started the work together and left after 6 days such that the remaining work is completed by Keshav alone in 6 days. If the total wage fixed for completing the work is Rs. 360, then find the share received by Keshav.Solution
Let total work = 48 units {LCM of 16 and 24} So, efficiency of ‘Karan’ = (48/16) = 3 units/day Efficiency of ‘Kavya’ = (48/24) = 2 units/day Amount of work done by Karan in 6 days = 3 × 6 = 18 units Amount of work done by Kavya in 6 days = 2 × 6 = 12 units Amount of work done by Keshav = 48 – (18 + 12) = 18 units Ratio of amount of work done by Karan, Kavya and Keshav = (18 : 12 : 18) = (3 : 2 : 3) Required wages of Keshav = {3/(3 + 2 + 3)} × 360 = Rs. 135
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