Average payroll

[Deepthi Subbu]

For a certain company X, the average daily payroll for each 30-day payroll cycle is the average (arithmetic mean) of the daily payroll totals for each of the 30 days. During the first part of a recent 30-day payroll cycle, the daily payroll was a constant $5,750. When a new employee was hired during this 30-day cycle, the total payroll for each day rose by $280. If the new daily payroll total remained constant for the remainder of the cycle, what was the average daily payroll for the 30-day cycle?

(1) The new employee was hired on the 11th day of the payroll cycle.

(2) The average daily payroll was $5,890 through the first 20 days of the cycle

How is B self sufficient ?

OA D

[fitzgerald23]

You can set up B as follows:

Let x= the amount of days that the payroll remains at $5750
20-x= Amount of days that the payroll is $6030


5750x + 6030(20-x)= (5890)(20)

Simply solve for x and you will get x=10. So now you know that the old payroll was good for 10 days and the new one will hold true for the rest of the month.

[arora007]

5890*20 = 5750*20(i.e. the base salary) + 280*m (enhanced salary)

solve and get the value m, which comes to 10

since its already mentioned "payroll total remained constant for the remainder of the cycle"

the enhanced pay roll will contiune for the rest of the 10 days as well...

i.e. m+10 = 10+10 = 20 days.

now can simply plug in and get the average for the month.

i.e. (5750*30 + 280*20)/30.