This is a question of the time value of funds, which is called an annual annuity. Note that it is not a year-end bonus.

In fact, the problem is to calculate the present value of annuity, and the mathematical expression is to find the sum of geometric series.

The series is:

5 * (1.02)-0,5 * (1.02)-1,5 * (1.02)-2, ... 5 * (1.02)

By summing geometric series and 50*x% column equation, X can be obtained.

Please note that since it is a discount of x%, the equation should be:

Sum of series = 50( 1-x%)