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A Alone Can Do a Piece of Work in 6 Days and B Alone in 8 Days. a and B Undertook to Do It for ₹3200. with the Help of C, They Completed the Work in 3 Days. How Much is to Be Paid to C? - Mathematics

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MCQ

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for ₹3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Options

  • ₹375

  • ₹400

  • ₹600

  • ₹800

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Solution

₹400
Explanation:

C's 1 day's work = `1/3-(1/6+1/8)=1/3-7/24=1/24`

A's wages : B's wages : C's wages =  `1/6:1/8:1/24=4:3:1`

∴ C's share (for 3 days) = ₹`(1/8xx3200)` = ₹400

 

Concept: Time and Work (Entrance Exam)
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