'B' can complete a task in 15 days, and when 'A' and 'B' collaborate, they can finish the same task in 8 days. 'A' initiated the work alone and worked for 12 days, after which 'B' finished the remaining part of the task on their own. If both 'A' and 'B' received a total payment of Rs. 7,200 for completing the task in this manner,calculate the wages received by 'A.'
ATQ, Let the total work = L.C.M of 15 and 8 = 120 units Then, efficiency of 'B' alone = 120 ÷ 15 = 8 units/day Combined efficiency of 'A' and 'B' = 120 ÷ 8 = 15 units/day So, efficiency of 'A' alone = 15 - 8 = 7 units/day Work done by 'A' alone in 12 days = 7 × 12 = 84 units So, payment received by 'A' = (84/120) × 7200 = Rs. 5,040
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