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A Can Do a Piece of Work in 8 Days and B Alone Can Do the Same Work in 10 Days. a and B Agreed to Do the Work Together for Rs. 720. - Mathematics

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MCQ

Choose the most appropriate option.

A can do a piece of work in 8 days and B alone can do the same work in 10 days. A and B agreed to do the work together for Rs. 720. With the help of C, they finished the work in 4 days. How much C is to be paid?

Options

  • Rs. 80

  • Rs. 70

  • Rs. 82

  • Rs. 72

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Solution

Rs. 72

Explanation:

C's 1-day work`=1/4-(1/8+1/10)`

`=1/4-9/40⇒1/40.`

A's wages: B's wages: C's wages`=1/8: 1/10 : 1/40=5:4:1`

∴ C's share (for 4 days)`=720/10xx1=72`

= Rs. 72

Concept: Time and Work (Entrance Exam)
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