Question

An employee's salary increased by $4,500 which represents a 15% raise. What is the employee's new salary?

Answer 1

Answer:

The employee's new salary is $34 500

Step-by-step explanation:

Let x be the employee's initial salary.

From the question above, an employee's salary increased by  $4500  which represent 15% increase. this implies;

15% of  x  =  $4 500

$\frac{15}{100}$    ×  x = $4 500

$\frac{15x}{100}$   =  $4 500

Multiply both-side of the equation by 100

$\frac{15x}{100}$  × 100 = $4 500× 100

100 will cancel-out 100 at the left-hand side of the equation

15 x = $450 000

Divide both-side of the equation by 15

$\frac{15x}{15}$  = $ $\frac{450000}{15}$

(On the left-hand side of the equation, 15 at the numerator will cancel-out 15 at the denominator while on the right-hand side of the equation $450 000 will be divided by 15)

x  =  $30 000

The employee's initial salary is $30,000

The employee's new salary = Initial salary + increase

                                                = $30 000 +  $4 500

                                                 =$34 500

Answer 2

Answer:

The new salary of the employee is $34,500

Step-by-step explanation:

  Extracting the key information from the question:-

*** An employee's salary increased by $4,500

*** This increment represents a 15% raise.

*** We are simply required to calculate this employee's new salary.

  Before we go into calculating this employees new salary, let us try to define what a percentage increase really means. A percentage increase literally has to do with the quantity of increment from the initial or original value to the the final value in terms or with respect to hundred parts of the initial value. For example, if an increase of ten percent is made, then it simply means that if you divide that initial quantity into one hundred parts, then that quantity has increased by another ten parts.

   Now, in this scenario, we are told that an employee's salary is increased by 15%. Let us denote the employee's initial or former salary by "m"

 Since the 15% increment in his salary is equal to $4500 (pay rise) then:

  15/100  ×  m  =  4,500

   3m/20  =  4,500

     cross multiply

      3m = 90,000

       m  = 90,000/3

       m = $30,000

  $30,000 was his old or initial salary.

 Therefore, if his/her salary was raised by $4,500 then his/her new salary will be:

   $30,000 + $4,500

 = $34,500