Karen purchased the DVD
player shown in the sign on
the right. Find the percent
markdown rounded to the
nearest percent.
WAS S175.90
NOW
$153.77

Respuesta :

Answer:

13 percent!

Step-by-step explanation:

[tex]\frac{175.90-153.77}{175.90}[/tex]×100

175.90 minus 153.77 = 22.13

[tex]\frac{22.13}{175.90}[/tex]= 12.58...×100 = 12.58

12.58 rounded is 13.

Therefore, it is 13%

The percent markdown for the cost of DVD player for considered case is 14.4% approx.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Markdown price is the price which is marked on the object so that when discount is applied(discount is same to extra price marked), no effect on the real price occurs. Sellers do this to show that they reduced the price but actually they don't (usually).

The DVD player's discount price was difference of marked price to real price which is [tex]175.90 - 153.77 = 22.13 \text{ (in dollars)}[/tex]

This is the price that was marked extra.

Let this is x% of real price $153.77

Then, we get:

[tex]\dfrac{153.77}{100} \times x = 22.13\\1.5377 \times x = 22.13\\\\\text{Dividing both the sides by 1.5377, we get}\\x = \dfrac{22.13}{1.5377} \approx 14.4[/tex]

Thus, the percent markdown for the cost of DVD player for considered case is 14.4% approx.

Learn more about percentage here:

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