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P and Q can complete a job in 6 and 8 days individually. They both finish the job with the help of R in 3 days. How much wages are to be paid to R, if
Question

P and Q can complete a job in 6 and 8 days individually. They both finish the job with the help of R in 3 days. How much wages are to be paid to R, if the total wages are Rs. 3200?

A.

Rs. 375

B.

Rs. 400

C.

Rs. 1200

D.

Rs. 320

Correct option is B


Work done by P, Q and R in one day = 1/3
Work done by R in one days = 1/3-(1/6+1/8)
= 1/3-((8+6)/48)
= (16-14)/48
= 1/24
Therefore, time taken to complete the work by R = 24
Efficiency of the work = 1/6: 1/8 : 1/24 = 4:3:1
Total wage = 3200
Wage paid to R = 3200×1/8=400

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