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

Discounted price = $160

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
`=(discounted\ rate)/(original\ rate)* 100`

% value
`=(16)/(80)* 100`

% value
`=(16* 100)/(80)`

% value
`=(16* 10)/(8)`

% value
`=2* 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
`=(discounted\ price)/(original\ price)* 100`

80
`=(x)/(200)* 100`

`x=(80* 200)/(100)`

`x=80* 2`

x = $160

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