1.

While working in an office, 'n' person can do that work in 60 days. If 12 additional people were taken to work, it would take 12 days less to complete the same work. How many people were there in the beginning?1. 362. 483. 204. 32

Answer» Correct Answer - Option 2 : 48

Given:

'n' person can do a work in 60 days.

It takes 12 days less to complete the same work if 12 additional people are added to the work.

Concept:

If “x” men finish the job in “n” days,

1 person will finish the same job in “nx” days.

Calculation:

Let the number of men initially be “x”.

According to the question,

“x” men finish the work in 60 days and (x + 12) men finish it in 48 days.

Now, “x” men finish the job in 60 days.

1 man will finish the same job in 60x days ----(1)

Again “(x + 12)” men finish the job in 48 days.

1 man can finish the same job in 48(x + 12) days ----(2)

From equation (1) and (2),

60x = 48(x + 12)

⇒ 60x – 48x = 48 × 12

⇒ 12x = 48 × 12

⇒ x = (48 × 12)/12

⇒ x = 48

The total number of men in the beginning was 48.



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