Question

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

Answer 1

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