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Arin alone can do a piece of work in 6 days and Selvi alone can do the same in 8 days. Arin and Selvi undertook to do it for Rs. 7,200. With the help
Question

Arin alone can do a piece of work in 6 days and Selvi alone can do the same in 8 days. Arin and Selvi undertook to do it for Rs. 7,200. With the help of Kevin, they completed the work in 3 days. How much is to be paid to Kevin?

A.

Rs. 900

B.

Rs. 700

C.

Rs. 800

D.

Rs. 600

Correct option is A

Solution:

Total Work = LCM of 6, 8 and 3 = 24 unit

Efficiency of Arin = 246\frac{24}6​ = 4 unit per day

Efficiency of Selvi = 248\frac{24}8​ = 3 unit per day

Efficiency of Kevin+ Arin+ Selvi = 243\frac{24}{3 }​= 8 unit per day

Efficiency of Kevin = 8 - 4-3 = 1unit

Share of Kevin = 38\frac38​ ×2400 = Rs.900

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