Question

An enterprise got a bonus and decided to share it in equal parts between the exemplary workers. It turned out, however, that there were 3 more exemplary workers than it had been assumed. In that case, each of them would have got 4 rupees less. The administration had found the possibility to increase the total sum of the bonus by 90 rupees and as a result each exemplary worker got 25 rupees. How many people got
the bonus?
(b) 18
(d) 16
(a) 9
(c) 8​

Answer 1

Given:

It turned out, however, that there were 3 more exemplary workers than it had been assumed.

In that case, each of them would have got 4 rupees less.

The administration had found the possibility to increase the total sum of the bonus by 90 rupees and as a result each exemplary worker got 25 rupees.

To find:

How many people got  the bonus?

Solution:

Let the initial bonus be x  

and the number of workers be n

Here, x/n - x/(n + 3) = 4

(x + 90)/(n + 3) = 25

Solving we get, n = 15

Thus no of employees who got bonus = 15 + 3 = 18