Respuesta :

Answer:  The required discount is $819  and  the rate of discount is 20.48%.

Step-by-step explanation:  Given that a home theater system is marked down from $3999 to $3180.

We are to find the discount and the rate of discount.

The discount will be given by actual price minus the marked price.

We have

Actual price = $ 3999  and  marked price = $3180.

So, the discount is given by

[tex]\textup{Discount}=\$(3999-3180)=\$819[/tex]

And the rate of discount is

[tex]\textup{Rate of discount}=\dfrac{819}{3999}\times100\%=20.48\%[/tex]

Thus, the required discount is $819  and  the rate of discount is 20.48%.

Answer:819,20.48 %

Step-by-step explanation:

Initial price=3999

Final price=3180

Discount is given by

=initial price - Final price

=3999-3180=819

Rate of interest is given by [tex]\frac{initial -final }{initial }[/tex]

=[tex]\frac{3999-3180}{3999}=0.2048[/tex]

i.e. [tex]20.48 \% [/tex]