QIf A and B undertake to do a piece of work for Rs. 600 and A can complete the work in 6 days while B can complete it in 8 days, and with the help of C they finish it in 3 days, what is the share of each person in the payment?
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Explanation
A can complete the work in 6 days, so the amount of work he completes in 1 day is (1/6) of the total work.
B can complete the work in 8 days, so the amount of work he completes in 1 day is (1/8) of the total work.
With the help of C, they finish the work in 3 days, so the amount of work C contributes in 1 day is
(1/3) - [(1/6) + (1/8)] = 1/24 of the total work.
The ratio of the work done by A, B, and C in 1 day is
(1/6) : (1/8) : (1/24) = 4 : 3 : 1.
Therefore, A's share of the payment is Rs. (600 * 4/8) = Rs. 300.
B's share is Rs. (600 * 3/8) = Rs. 225.
C's share is Rs. [600 - (300 + 225)] = Rs. 75.
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