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A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning? - Mathematics

MCQ

A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?

Options

  • 165

  • 175

  • 80

  • none of these

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Solution

165

Explanation:

Let the number of men be x

∵ ND = N1D1 + N2D2 + N3D3 .......N12D12

8x = x × 1 + (x−10)×1 + (x−20) ........(x − 110)×1

8x = 12x − 10 − 20 − 30 .................110

4x = 10 + 20 + 30 ............110

`4"x"=11/2[10+110]`

4x = 660

 x = 165

Concept: Time and Work (Entrance Exam)
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