A can do a particular work in 6 days . B can do the same work in 8 days. A and B

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A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?

Options:

A . Rs. 380

B . Rs. 600

C . Rs. 420

D . Rs. 400

Answer: Option D
AMOUNT OF WORK A CAN DO IN 1 DAY = 1/6
AMOUNT OF WORK B CAN DO IN 1 DAY = 1/8
AMOUNT OF WORK A + B CAN DO IN 1 DAY = 1/6 + 1/8 = 7/24
AMOUNT OF WORK A + B + C CAN DO = 1/3
AMOUNT OF WORK C CAN DO IN 1 DAY = 1/3 – 7/24 = 1/24
WORK A CAN DO IN 1 DAY: WORK B CAN DO IN 1 DAY: WORK C CAN DO IN 1 DAY
= 1/6 : 1/8 : 1/24 = 4 : 3 : 1
AMOUNT TO BE PAID TO C = 3200 × (1/8) = 400

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