A and B can complete a work in 12 and 18 days respectively. How much should A take as his share from the total amount of Rs. 650 paid for the work?
Answers
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Given : A and B can complete a work in 12 and 18 days respectively.
To Find : How much should A take as his share from the total amount of Rs. 650 paid for the work
Solution:
A work in 1 day = 1/12
B work in 1 day = 1/18
Let say work is completed in d days
=> A work in d day = d/12
B work in 1 day = d/18
Total work = d/12 + d/18 = ( 3d + 2d)/36 = 5d/36
5d/36 = 650
=> d = 650 * 36/5 = 130 * 36
A share = d/12 = 130 * 36/12 = 390 Rs
B share = d/18 = 130 * 36/18 = 260 Rs
A take as his share from the total amount of Rs. 650 paid for the work = Rs 390
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