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After an increase of 25% a security guard at a gas station got a new weekly pay check of $800 what was his original pay per week before the increase

Respuesta :

Answer:

The original salary of the guard was  $640 per week before the increase.

Step-by-step explanation:

Let the original salary of the guard  = $ m

Now, increase in the salary = 25%

or, increase in the salary = 25% of m

25%  of m =  [tex]\frac{25}{100}  \times  m  = 0.25m[/tex]

So, the Increased salary = Original Salary + Increment

= $ m + $ 0.25 m    

= $(1.25) m

Also, the increased salary =  $ 800

⇒  $(1.25) m   = $ 800

or, 1.25 m  = 800  ⇒ m= 800/1.25

or, m = 640

Hence, the original salary of the guard = m = $640

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