A $250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened by a customer. a. The sale price of the gaming system is _______$ b. After both discounts are taken, the total percent discount is______$

Respuesta :

Answer:

a. Sale Price[tex]=\$168.75[/tex]

b. Total percent discount[tex]=32.5\%[/tex]

Step-by-step explanation:

First Discount:

Initial Price[tex]=\$250[/tex]

Discount[tex]=25\%[/tex]

[tex]25\%\ of\ 250=\frac{25}{100}\times 250=62.5\\\\Now\ Price=250-62.5=$187.5[/tex]

Second Discount:

[tex]Price=187.5\\\\Discount=10\%\\\\10\%\ of\ 187.5=\frac{10}{100}\times 187.5=18.75\\\\Now\ Sale\ Price=187.5-18.75=\$168.75[/tex]

Effective Discount:

Initial Price[tex]=\$250[/tex]

Final Price[tex]=\$168.75[/tex]

Total discount[tex]=250-168.75=81.25[/tex]

[tex]\%\ discount=\frac{81.25}{250}\times 100=32.5\%[/tex]

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