Question
Bhuvan can finish a task by himself in 15 days, while when
working together, Anoop and Bhuvan can complete the same task in 8 days. Anoop starts the work alone but leaves after 12 days, after which Bhuvan completes the remaining work on his own. If the total payment for completing the work under this arrangement is Rs. 7,200, how much of this amount does Anoop receive?Solution
ATQ;
Let the total work = L.C.M of 15 and 8 = 120 units
Then, efficiency of 'Bhuvan' alone = 120 Γ· 15 = 8 units/day
Combined efficiency of 'Anoop' and 'Bhuvan' = 120 Γ· 8 = 15 units/day
So, efficiency of 'Anoop' alone = 15 - 8 = 7 units/day
Work done by 'Anoop' alone in 12 days = 7 X 12 = 84 units
So, payment received by 'Anoop' = (84/120) X 7200 = Rs.5,040
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