A radio set costing $500 was marked up 20% based on retail price. later it was marked down by 10%. WHAT is the final retail price?

final price= .9(500*1.2)=?

how can get.9 ?

thanks bp

To find the final retail price, we need to calculate the total markup and then subtract the markdown.

First, let's find the total markup based on the radio set's original retail price of $500 and a markup of 20%. To do this, we'll calculate 20% of $500:

Markup = 20% * $500
Markup = 0.20 * $500
Markup = $100

The total markup is $100.

Now, we need to apply the markdown. The markdown is 10% of the retail price after the markup. To calculate this, let's subtract the markup ($100) from the original retail price ($500) and then calculate 10% of the resulting amount:

Sale Price = $500 - $100
Sale Price = $400

Markdown = 10% * $400
Markdown = 0.10 * $400
Markdown = $40

The markdown is $40.

Finally, we subtract the markdown ($40) from the sale price ($400) to find the final retail price:

Final Retail Price = Sale Price - Markdown
Final Retail Price = $400 - $40
Final Retail Price = $360

So, the final retail price of the radio set after the 20% markup and 10% markdown is $360.