Border Patrol Practice Exam

When a bonus fund is allocated to an office that has lost 10% of its employees, the calculation examines the effect of reducing the employee count on the fund's distribution. If an office originally had 100 employees, losing 10% results in 90 employees remaining.

If the original total amount allocated for the bonus remains the same but is now divided among fewer employees, each remaining employee would receive a higher proportion of the fund. The distribution per employee can be represented mathematically:

Originally, if the bonus fund was $X, each of the 100 employees would receive $X/100. After losing 10 employees, the remaining 90 would now receive $X/90. The increase in the share each employee receives can be calculated as follows:

1. Calculate the original share: $X/100.

2. Calculate the new share: $X/90.

3. Determine the increase in the share:

- Increase = ($X/90) - ($X/100)

- This can be simplified to find a common denominator and results in approximately an 11% increase in the amount each remaining employee receives from the bonus fund.

Thus, due to the decrease in the number of employees without reducing the total