Question

A department store has a discount on shoes based on a percentage of the price. Suppose one pair of shoes is marked down from 80 to 64. What is the price for a $200 pair of shoes after the same discount is applied.

Answer 1

Answer:

Discounted price = $160

Step-by-step explanation:

Let x be the discounted price of shoes.

Given:

A department store has a discount on shoes based on a percentage of the price.

and marked down on one pair of shoes is $80 to $64.

So, the discounted rate = 80 - 64 = 16

therefore, the percent of discount is.

% value  $=\frac{discounted\ rate}{original\ rate}\times 100$

% value  $=\frac{16}{80}\times 100$

% value $=\frac{16\times 100}{80}$

% value $=\frac{16\times 10}{8}$

% value $=2\times 10$

% value = 20%

Find the price for a $200 pair of shoes after the same discount is applied.

So the discount is 20% and the discounted price of the shoe is 80% of $200.

% value  $=\frac{discounted\ price}{original\ price}\times 100$

80 $=\frac{x}{200}\times 100$

$x=\frac{80\times 200}{100}$

$x=80\times 2$

x = $160

Therefore, the discounted price of the shoe is $160.