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?

80
90
165
175

Answer 1

Answer:

♠ The correct option is C.

Step-by-step explanation:

If x men were there on day one, there would be (x - 110) men on the 12th day.

Hence, on an average there were (x - 55) men.

The job takes 3/2 times the normal time.

Hence, the average number of people = 2/3

x - 55 = 2x/3

♦ Hence, x = 165

Answer 2

Step-by-step explanation:

Let there were x people in the beginning.

Total work=8x

According to the question,

Work done on one day1= X

Work done on day 2= (x-10)

Work done on day 3=(x-20)

And so on

Work done on day 12= (x-110)

x+x-10+x-20....+x-110= 8x

12x-660= 8x

x= 165

Therefore option C is correct

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