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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) = ₹`(3 xx 1/24 xx 3200)` = ₹ 400.

Concept: Time and Work (Entrance Exam)
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